%SaarinenBramleyCybenko91
\rhl{S}
\refR Saarinen,  S., Bramley, R., Cybenko, G.;
The numerical solution of neural network training problems;
Center for Supercomputing Research Report No.\ 1089,
University of Illinios; 1991;

%Sabin68
% . 03apr06
\rhl{}
\refR Sabin, M.;
Conditions for continuity of surface normals between two adjacent parametric
   patches;
Tech.\ Rep.\ British Aircraft Corp.\ Ltd.; 1968;
% the start of BoorHolligSabin87

%Sabin72a
% .
\rhl{S}
\refR Sabin, Malcolm;
B-spline interpolation over regular triangular lattices;
Report VTO/MS/195, BA Corporation; 1972;
(available at {\tt www.damtp.cam.ac.uk/user/na/people/Malcolm/vtoms})
% early 3-direction box splines

%Sabin77
% larry
\rhl{S}
\refD Sabin,  M. A.;
The use of piecewise forms for the numerical representation of shape;
MTA Budapest; 1977;

%Sabin80
% larry
\rhl{S}
\refP Sabin,  M. A.;
Contouring---a review of methods for scattered data;
\Brodlie; 63--85;

%Sabin83
\rhl{S}
\refQ Sabin,  M. A.;
Non-rectangular surface patches suitable for inclusion in a B-spline 
surface;
(Eurographics '83), P. J. W. Ten Hagen (ed.),
North-Holland (Amsterdam); 1983; 57--69;

%Sabin85
\rhl{S}
\refQ Sabin,  M. A.;
Contouring:  the state of the art;
( Fundamental Algorithms for Computer Graphics),
R. A. Earnshaw (ed.), Springer-Verlag (Heidelberg); 1985; 411--482;

%Sabin85b
\rhl{S}
\refR Sabin, M. A.;
Some negative results in N-sided patches;
xx; 1985;

%Sabin86b
% carl
\rhl{S}
\refP Sabin,  M. A.;
Recursive division;
\SurfacesI; 269--282;

%Sabin87
% .
\rhl{S}
\refP Sabin,  M. A.;
Envelope curves and surfaces;
\SurfacesII; 413--418;

%Sabin89a
% larry
\rhl{S}
\refP Sabin,  Malcolm;
Open questions in the application of multivariate B-splines;
\Oslo; 529--537;

%Sabin89b
% carlrefs 08apr04
\rhl{}
\refP Sabin, Malcolm;
Circles and Cyclides -- Applying the Absolute;
\SurfacesIII; 145--156;

%Sabin93
% carl
\rhl{S}
\refP Sabin,  Malcolm;
Numerical master geometry, $n$-sided patches and surface interrogations;
\Piegl; 255--270;
% expository

%Sabin94
% carl 5dec96
\rhl{S}
\refJ Sabin, Malcolm;
Numerical geometry of surfaces;
\AN; 3; 1994; 411--466;

%Sabin96
% . 12mar97
\rhl{S}
\refR Sabin, Malcolm;
Pseudo-quadratic rational speed splines;
DAMTP NA/17, Cambridge (England); 1996;
% longer version of ChamonixIII paper

%Sabin97
% larry 10sep99
\rhl{S}
\rhl{S}
\refP Sabin, M. A.;
Rational speed pseudo-quadratic B-splines;
\ChamonixIIIa; 395--402;

%SabinMartin86
% carl
\rhl{S}
\refP Sabin,  M. A., Martin, R. R.;
Introduction to the basic mathematical tools;
\SurfacesI; 1--17;

%Sablonniere02
% . 03apr06
\rhl{S}
\refP Sablonni\`ere,  P.;
H-splines and quasi-interpolants on a three directional mesh;
\IDoMATzeon; 187--201;

%Sablonniere03a
% .
\rhl{}
\refQ Sablonni\`ere, P.;
On some multivariate quadratic spline quasi-interpolants on bounded domains;
(Modern developments in multivariate approximationm, ISNM 145), W. 
Haussmann, K. Jetter, M. Reimer, J. St\"ockler (eds.), Birkh\"auser (Basel);
2003; 263--278;

%Sablonniere03b
% .
\rhl{}
\refJ Sablonni\`ere, P.;
Quadratic spline quasi-interpolants on bounded domains of $\RR^d$, $d=1,2,3$;
Rend.\ Sem.\ Univ.\ Pol.\ Torino; 61; 2003; 61--78;

%Sablonniere05
% carl 03apr06
\rhl{}
\refR Sablonni\'ere, Paul;
Univariate spline quasi-interpolants and applications to numerical analysis;
Report no 2005-06, IRMAR,  http://arXiv.org/abs/math/0504022 ; 2005;
% cardinal splines on bounded intervals, integration, differentiation, zeros

%Sablonniere78
% larry, carl
\rhl{S}
\refJ Sablonni\`ere, P.;
Spline and B\'ezier polygons associated with a
   polynomial spline curve;
\CAD; 10(4); 1978; 257--261;

%Sablonniere81a
% carl
\rhl{S}
\refR Sablonni\`ere,  P.;
De l'existence de spline \'a support born\'e sur une triangulation
\'equilat\'erale du plan;
Publication ANO-39, U.E.R. d'I.E.E.A.-Informatique, Universit\'e de Lille;
1981;

%Sablonniere81b
\rhl{S}
\refR Sablonni\`ere,  P.;
Quasi-interpolants splines sur un reseau equilateral du plan;
ANO 57; 1981;

%Sablonniere82a
\rhl{S}
\refD Sablonni\`ere,  P.;
Bases de Bernstein et approximants splines;
Univ.\ Lille; 1982;
%  approximants --> approximations ???

%Sablonniere82b
\rhl{S}
\refJ Sablonni\`ere,  P.;
Interpolation by quadratic splines on triangles and squares;
Computers in Industry; 3; 1982; 45--52;

%Sablonniere84a
\rhl{S}
\refR Sablonni\`ere,  P.;
A catalog of B-splines of degree $\le 10$ on a three direction mesh;
Rpt.\ ANO-132, Univ.\ Lille; 1984;

%Sablonniere85
% greg
\rhl{S}
\refJ Sablonni\`ere,  P.;
Bernstein---B\'ezier methods for the construction of bivariate spline
approximants;
\CAGD; 2; 1985; 29--36;

%Sablonniere85b
% larry
\rhl{S}
\refJ Sablonni\`ere,  P.;
Composite finite elements of class $C^k$;
\JCAM; 12; 1985; 541--550;

%Sablonniere86
\rhl{S}
\refQ Sablonni\`ere,  P.;
El\'ements finis triangulaires de degr\'e 5 et de classe $C^2$;
(Computers and Computing), P. Chenin {\sl et al} (eds.),
   Wiley (New York); 1986; 111--115;

%Sablonniere87
\rhl{S}
\refP Sablonni\`ere,  P.;
Composite finite elements of class $C^2$;
\Chile; 207--217;

%Sablonniere87b
% larry
\rhl{S}
\refJ Sablonni\`ere, P.;
Error bounds for Hermite interpolation by quadratic splines on an
$\alpha$-triangulation;
\IMAJNA; 7; 1987; 495--508;

%Sablonniere88
% sonya
\rhl{S}
\refJ Sablonni\`ere,  P.;
Positive spline operators and orthogonal splines;
\JAT; 52; 1988; 28--42;

%Sablonniere88a
\rhl{S}
\refQ Sablonni\`ere,  P.;
Hahn polynomials as eigenvectors of positive
operators;
(Second International Symposium on orthogonal polynomials and their 
applications, Segovia, 1986), xxx (ed.),
Monografias de la Academia de Ciencias de Zaragoza (Zaragoza); 1988; 139--146;

%Sablonniere89a
% carl 19may96
\rhl{S}
\refP Sablonni\`ere,  P.;
Bernstein quasi-interpolants on $[0,1]$;
\MvatIV; 287--294;

%Sablonniere91a
\rhl{S}
\refQ Sablonni\`ere,  P.;
Discrete Bernstein basis and Hahn polynomials;
(VII Simposium sobre
polinomios ortogonales y aplicaciones.\ Granada,
Publication LANS n$^o$ 37), xxx (ed.), 
INSA (Rennes);  1991; xxx--xxx;

%Sablonniere91b
% larry
\rhl{S}
\refP Sablonni\`ere,  P.;
Bernstein type quasi-interpolants;
\Chamonix; 421--426;

%Sablonniere92
% sherm
\rhl{S}
\refJ Sablonni\'ere,  P.;
A short note on the generalized Euler transform for the summation of
power series;
\NA; 2; 1992; 241--254;

%Sablonniere92b
% carl 19may96
\rhl{S}
\refJ Sablonni\`ere,  P.;
A family of Bernstein quasi-interpolants on $[0,1]$;
\ATA; 8(3); 1992; 62--76;

%Sablonniere95a
% carl 19may96
\rhl{S}
\refJ Sablonni\`ere,  P.;
Positive Bernstein-Sheffer operators;
\JAT; 83(3); 1995; 330--341;

%Sablonniere96
% . 03apr06
\rhl{S}
\refJ Sablonni\`ere,  P.;
Quasi-interpolants associated to H-splines on a three-direction mesh;
\JCAM; 66; 1996; 433--442;

%Sablonniere96a
% carl 19may96
\rhl{S}
\refP Sablonni\`ere,  P.;
B-splines on uniform meshes of the plane;
\Montecatini; xxx--xxx;
% bivariate compactly supported smooth pp on three-direction and
% four-direction mesh. A simple B-spline is one of minimal support. Composed
% B-splines are obtained by repeated convolution of simple ones.

%Sablonniere98
% . 03apr06
\rhl{S}
\refR Sablonni\`ere,  P.;
On some families of B-splines on the uniform four-directional mesh of the
   plane;
Conf.\ Multivariate Approx.\ Interp.\ Applic.\ in CAGD, Signal and Image 
   Processing, Eilat (Israel), 7-11sep; 1998;

%SablonniereJeeawock-Zedek94
% larry
\rhl{S}
\refP Sablonni\`ere, P., Jeeawock-Zedek, F.;
Hermite and Lagrange interpolation by quadratic splines
on non-uniform criss-cross triangulations;
\ChamonixIIb; 445--452;

%SablonniereLaghchimLahlou93
% carl  03dec99
\rhl{S}
\refJ Sablonni\`ere, P., Laghchim-Lahlou, M.;
El\'ements finis polynomiaux compos\'es de classe $C^r$;
\CRASP; 316, S\'erie I; 1993; 503--508;

%SablonniereSbibih94a
% carl 19may96
\rhl{S}
\refJ Sablonni\`ere,  P., Sbibih, D.;
Spline integral operators exact on polynomials;
\ATA; 10(3); 19994; 56--73;

%SablonniereSbibih94b
% carl 19may96
\rhl{S}
\refJ Sablonni\`ere, Paul, Sbibih, Driss;
B-splines \`a supports hexagonaux sur un r\'eseau tridirectionnel r\'egulier
   du plan;
\CRASP; 319, S\'erie I; 1994; 277--282;
% on the three-direction mesh, repeatedly convolve the hat function (centered
% at the origin)  with  splines supported on on one, or two, or six 
% triangles in the support of the  hat function (and as smooth as possible,
% given their specified degrees and support).
% see SablonniereSbibih95a
% bivariate

%SablonniereSbibih95a
% carl 19may96
\rhl{S}
\refP Sablonni\`ere, Paul, Sbibih, Driss;
Some families of B-splines with hexagonal support on a three-direction mesh;
\Ulvik; 467--475;

%SacchiLandrianiVandeven99
\rhl{S}
\refR Sacchi Landriani, G., Vandeven, H.;
Polynomial approximation of divergence free functions;
xx; xx;

%SachsYlvisaker66
% carl 21nov08
\rhl{SY}
\refJ Sachs, J., Ylvisaker, D.;
Designs for regression problems with correlated errors;
Annals of Mathematical Statistics; 37(1); 1966; 66--89;

%SachsYlvisaker68
% carl 21nov08
\rhl{SY}
\refJ Sachs, J., Ylvisaker, D.;
Designs for regression problems with correlated errors: Many parameters;
Annals of Mathematical Statistics; 39(1); 1968; 46--69;

%SachsYlvisaker70a
% carl 21nov08
\rhl{SY}
\refJ Sachs, J., Ylvisaker, D.;
Designs for regression problems with correlated errors III;
Annals of Mathematical Statistics; 41(6); 1970; 2057--2074;

%SachsYlvisaker70b
% carl 21nov08
\rhl{SY}
\refQ Sachs, J., Ylvisaker, D.;
Statistical design and integral approximation;
(Proc.{} 12th biennial Seminar of the Canadian Mathematical Congress), xxx
(eds.), xxx (xxx); 1970; 115--136;

%Saff86a
% carl
\rhl{S}
\refP Saff,  E. B.;
Polynomial and rational approximation in the complex domain;
\Neworleans; 21--50;

%SaffTashev99
% . 05mar08
\rhl{ST}
\refJ Saff, E. B., Tashev, F.;
Gibbs phenomenon for best $L_p$ approximation by poly\-gonal lines;
\EJA; 5(2); 1999; 235--251;

%SahniGrover91
\rhl{S}
\refR Sahni,  A. S., Grover, P. S.;
A critical study of the B-spline formulation;
Univ.\ of Delhi; xxx;

%SahooRiedel98
% author 03apr06
\rhl{}
\refB Sahoo, P. K., Riedel, T.;
Mean Value Theorems and Functional Equations;
World Scientific (Singapore); 1998;

%Sakai69
\rhl{S}
\refJ Sakai,  M.;
Error estimation on piecewise Hermite interpolation;
Mem.\  Fac.\  Sci.\  Kyushu Univ.; 23;  1969;  71--78;

%Sakai70
% larry
\rhl{S}
\refJ Sakai, M.;
Spline interpolation and two-point boundary value problems;
Memoirs Fac.\ Science, Kyushu Univ.; 24; 1970; 17--34;

%Sakai70b
% larry
\rhl{S}
\refJ Sakai, M.;
Multi-dimensional cardinal spline function and its applications;
Memoirs Fac.\ Science, Kyushu Univ.; 24; 1970; 40--46;

%Sakai71
% larry
\rhl{S}
\refJ Sakai, M.;
Piecewise cubic interpolation and two-point boundary value problems;
Publ.\ RIMS Kyoto Univ.; 7; 1971; 345--362;

%Sakai72
% larry
\rhl{S}
\refJ Sakai, M.;
Piecewise cubic interpolation and deferred correction;
Memoirs Fac.\ Science, Kyushu Univ.; 26; 1972; 339--350;

%Sakai73
% larry
\rhl{S}
\refJ Sakai, M.;
Ritz method for two-point boundary value problem;
Memoirs Fac.\ Science, Kyushu Univ.; 27; 1973; 83--97;

%Sakai74
% larry
\rhl{S}
\refJ Sakai, M.;
Cubic spline function and difference method;
Memoirs Fac.\ Science, Kyushu Univ.; 28; 1974; 43--58;

%Sakai75
% larry
\rhl{S}
\refJ Sakai, M.;
An investigation of difference method for two-point boundary value
problems;
Memoirs Fac.\ Science, Kyushu Univ.; 29; 1975; 287--301;

%Sakai75b
% larry
\rhl{S}
\refJ Sakai, M.;
Numerical solution of boundary value problems for second order
functional differential equations by the use of cubic splines;
Memoirs Fac.\ Science, Kyushu Univ.; 29; 1975; 113--122;

%Sakai76
% larry
\rhl{S}
\refJ Sakai, M.;
Cubic spline interpolation and two-sided difference methods to two-point
boundary value problems;
Fac.\ Sci.\ Kagoshima Univ.; 9; 1976; 31--38;

%Sakai77
% larry
\rhl{S}
\refJ Sakai, M.;
Two-sided quintic spline approximations for two-point boundary value
problems;
Fac.\ Sci.\ Kagoshima Univ.; 10; 1977; 1--17;

%Sakai78
% larry
\rhl{S}
\refJ Sakai, M.;
Cubic spline interpolation and chopping procedure for two-point boundary
value problems;
Fac.\ Sci.\ Kagoshima Univ.; 11; 1978; 21--24;

%Sakai78b
% larry
\rhl{S}
\refJ Sakai, M.;
Spline interpolation and two-sided approximate methods for two-point
boundary value problems;
Fac.\ Sci.\ Kagoshima Univ.; 11; 1978; 1--19;

%Sakai80
\rhl{S}
\refJ Sakai,  M.;
End conditions for quintic spline interpolation;
Rep.\  Fac.\  Sci.\  Kagoshima Univ.; 13; 1980;  11--13;

%Sakai80b
\rhl{S}
\refJ Sakai,  M.;
Error bounds for spline interpolation;
Rep.\  Fac.\  Sci.\  Kagoshima Univ.; 13; 1980;  1--10;

%Sakai83
% larry
\rhl{S}
\refJ Sakai, M.;
Some new linear relations for odd degree polynomial splines at
mid-points;
Proc.\ Japan Academy; 59, Ser.\ A; 1983; 24--25;

%Sakai83
% larry
\rhl{S}
\refJ Sakai, M.;
Quadratic spline and two-point boundary value problem;
Publ.\ RIMS Kyoto Univ.; 19; 1983; 7--13;

%Sakai83
% larry
\rhl{S}
\refJ Sakai, M.;
On consistency relations for polynomial splines at mesh and mid points;
Proc.\ Japan Academy; 59, Ser.\ A; 1983; 63--65;

%Sakai83
% larry
\rhl{S}
\refJ Sakai, M.;
Short term consistency relations for doubly polynomial splines;
Proc.\ Japan Academy; 59, Ser.\ A; 1983; 103--106;

%Sakai99
\rhl{S}
\refR Sakai, M.;
On hyperbolic and trigonometric B-splines on equally spaced knots;
Kagoshima Univ.; xx;

%SakaiUsmani82
\rhl{S}
\refJ Sakai,  M., Usmani, R. A.;
Cubic spline interpolation at midpoints;
Congr.\ Numer.; 34; 1982;  381--400;

%SakaiUsmani83
\rhl{S}
\refJ Sakai,  M., Usmani, R. A.;
Asymptotic error estimation for spline-on-spline interpolation;
Proc.\  Jap.\  Acad.; 59; 1983;  256--259;

%SakaiUsmani83b
% larry
\rhl{S}
\refJ Sakai, M., Usmani, R.;
Spline solutions for nonlinear fourth-order two-point boundary value
problems;
Publ.\ RIMS Kyoto Univ.; 19; 1983; 135--144;

%SakaiUsmani90a
\rhl{S}
\refJ Sakai,  M., Usmani, R. A.;
On orders of approximation of plane
curves by parametric cubic splines;
BIT;  30; 1990; 735--741;

%SakaiUsmani99a
\rhl{S}
\refR Sakai, M., Usmani, R. A.;
Hyperbolic B-splines in two-variables and difference schemes for
singular perturbation problems;
xx; xx;

%SakaiUsmani99b
\rhl{S}
\refR Sakai, M., Usmani, R. A.;
On characterization of B-exponential splines by convolution;
xx; xx;

%SakaiUsmani99c
\rhl{S}
\refR Sakai, M., Usmani, R. A.;
On exponential B-splines;
xx; xx;

%Sale70
% larry
\rhl{S}
\refJ Sale,  A. H.;
Note on algorithm 42: Interpolation by certain
  quintic splines;
\CJ; 13; 1970; 113;

%Salkauskas82
\rhl{S}
\refP Salkauskas,  K.;
Some relationships between surface splines and Kriging;
\MvatII; 313--325;

%Salkauskas84b
% larry
\rhl{S}
\refJ Salkauskas,  K.;
$C^1$  splines for interpolation of rapidly changing data;
\RMJM; 14; 1984; 239--250;

%Salkauskas92a
% sherm, pagination
\rhl{S}
\refJ Salkauskas,  K.;
Moving least squares interpolation with thin-plate splines and radial basis
functions;
\CMA; 24(12); 1992; 177--185;

%SalkauskasBos92a
% sherm, pagination update
\rhl{S}
\refJ Salkauskas,  K., Bos, L.;
Weighted splines as optimal interpolants;
\RMJM; 22(2); 1992; 705--717;

%Salkowski09a
\rhl{S}
\refJ Salkowski,  F.;
Zur Transformation von Raumkurven;
Mathematische Annalen;  66; 1909; 517--557;

%Sallam82
\rhl{S}
\refJ Sallam,  S.;
On interpolation by quintic splines;
Bull.\  Fac.\  Sci.\  Assint.\  Univ.\ A; 11; 1982; 97--106;

%Salmon60a
\rhl{S}
\refB Salmon,  G.;
A Treatise on the Higher Plane Curves;
Chelsea (New York); 1960;

%Salzer45
% larry
\rhl{S}
\refJ Salzer, H. E.;
Note on interpolation for a function of several variables;
\BAMS; 51; 1945; 279--280;

%Salzer57
% larry
\rhl{S}
\refJ Salzer, H. E.;
Note on multivariate interpolation for uneqally spaced arguments, with
an application to double summation;
\SJAM; 5; 1957; 254--262;

%Salzer64
% . 14may99
\rhl{S}
\refJ Salzer, H.~E.;
Divided differences for functions of two variables for irregularly spaced arguments;
\NM; 6; 1964; 68--77;

%Salzer71
% larry, carl
\rhl{S}
\refJ Salzer, Herbert E.;
Formulas for bivariate hyperosculatory interpolation;
\MC; 25(113); 1971; 119--133;
% Cartesian interpolation, remainder formulas.

%Samet89a
\rhl{S}
\refB Samet,  H.;
The Design and Analysis of Spatial Data Structures;
Addison-Wesley (Reading MA); 1989;

%Sandel37
% . 06jun04
\rhl{S}
\refJ Sandel, G.;
Zur Geometrie der Korbb\"ogen;
\ZAMM; 17(5); 1937; 301--302;
% first paper on biarcs; chooses the connection point as the place where the
% circle on which it must lie intersects the curve being interpolated. (No
% discussion about existence and uniqueness of such intersection.)
% on a c

%Sander64
% LLS Lai-Schumaker book
\rhl{San64}
\refJ Sander, G.;
Bornes sup\'erieures et inf\'erieures dans
   l'analyse matricielle des plaques en flexion-torsion;
Bull.~Soc.~Royale Sciences Li\`ege;  33; 1964; 456--494;

%Sandwell87
% .
\rhl{S}
\refJ Sandwell,  David T.;
Biharmonic spline interpolation of GEOS-3 and SEASAT altimeter data;
Geophysical Research Letters; 2; 1987; 139--142;
% Describes interpolation using value or gradient of value in any dimension.
% see interp3.m in matlab 4 aka method v4 in griddata in matlab 5.
% It's radial interpolation with the function  $t\mapsto t^2(\ln(t)-1)$

%SankarFerrari88
\rhl{S}
\refJ Sankar,  P. V., Ferrari, L. A.;
Simple algorithms and architectures for B-spline interpolation;
\ITPAMI; 10; 1988; 271--276;

%SankarSilbermannFerrari99a
\rhl{S}
\refR Sankar,  P., Silbermann, M., Ferrari, L.;
Curve and surface
generation and refinement based on a high speed derivative algorithm;
submitted; xx;

%Santoro92
% carlrefs 08apr04
\rhl{}
\refJ Santoro, E.;
Some probabilistic properties of B-splines and an application to dimensional
   tolerance;
\CAD; 24(11); 1992; 619--622;

%Sapidis94
% carl 6aug96
\rhl{S}
\refB Sapidis (editor), Nickolas S.;
Designing Fair Curves and Surfaces;
SIAM (Philadelphia PA); 1994;
% a collection of papers focusing on the aesthetic aspects of geometric
% modeling.

%SapidisFarin90
% carl
\rhl{S}
\refJ Sapidis, N., Farin, G.;
Automatic fairing algorithm for B-spline curves;
\CAD; 22(2); 1990; 121--129;
% computer-aided design, curvature, knot insertion, knot removal.

%SapidisKaklis88a
% carl 26oct95
\rhl{S}
\refJ Sapidis, N. S., Kaklis, P. D.;
An algorithm for constructing convexity and monotonicity-preserving splines in
   tension;
\CAGD; 5; 1988; 127--137;
% improves on SapidisKaklisLoukakis88

%SapidisKaklisLoukakis88a
% author 26oct95
\rhl{S}
\refJ Sapidis, N. S., Kaklis, P. D., Loukakis, T. A.;
A method for computing the tension parameters in convexity-preserving
   spline-in-tension interpolation;
\NM; 54; 1988; 179--192;

%SapiroBruckstein94
% larry
\rhl{S}
\refP Sapiro, G., Bruckstein, A. M.;
The ubiquitous ellipse;
\ChamonixIIa; 409--418;

%SapiroCohenBruckstein94
% carl
\rhl{S}
\refR Sapiro,  G., Cohen, A., Bruckstein, A. M.;
A subdivision scheme for continuous-scale B-splines and affine-invariant
progressive smoothing;
CEREMADE no.\ 9403, 31/01/94; 1994;

%Saranen88a
%  05feb96
\rhl{S}
\refJ Saranen, Jukka;
The convergence of even degree spline collocation solution for potential
   problems in smooth domains in the plane;
\NM; 53; 1988; 499--512;

%Saranen89
% carl
\rhl{S}
\refJ Saranen, Jukka;
Extrapolation methods for spline collocation solutions to pseudodifferential
equations on curves;
\NM; 56; 1989; 385--407;

%Sard48a
% shayne 21feb96
\rhl{S}
\refJ Sard, A.;
Integral representations of remainders;
\DMJ; 15; 1948; 333--345;

%Sard49
% larry
\rhl{S}
\refJ Sard, A;
Best approximate integration formulas, best approximation formulas;
\AJM; 71; 1949; 80--91;

%Sard51a
% author
\rhl{}
\refJ Sard, A.;
Remainders: functions of several variables;
Acta Math.; 84; 1951; 319--346;

%Sard56
%  . 02feb01
\rhl{S}
\refQ Sard, A.;
Function spaces and approximation;
(Proc.\ Symp.\ Applied Math.\ VI, Numer.\ Anal.), J. H. Curtis (ed.),
Amer.Math.Soc.{} (Providence RI); 1956; 177--185;

%Sard63a
% . 26oct95
\rhl{S}
\refB Sard, A.;
Linear Approximation;
Math.\ Surveys 9, Amer.\ Math.\ Soc.{} (Providence RI); 1963;

%Sard65a
%  carlrefs
\rhl{S}
\refJ Sard, A.;
Function spaces;
\BAMS; 71(3); 1965; 397--418;

%Sard67
% larry carlrefs
\rhl{S}
\refJ Sard, A.;
Optimal approximation;
\JFA; 1; 1967; 222--244;

%Sard73
% sonya
\rhl{S}
\refJ Sard,  A.;
Approximation based on nonscalar observations;
\JAT; 8; 1973; 315--334;

%Sard74
\rhl{S}
\refP Sard,  A.;
Instances of generalized splines;
\BoehmerII; 215--241;

%Sard79
\rhl{S}
\refP Sard,  Arthur;
Multivariate splines;
\MvatI; 305--325;

%SardWeintraub71
\rhl{S}
\refB Sard,  A., Weintraub, S.;
A Book of Splines;
Wiley (New York); 1971;

%Sarfraz93
% . 20nov03
\rhl{}
\refJ Sarfraz, M.;
A geometrical rational spline with tension controls: An alternative to the
   weighted nu-spline;
Punjab U. J. Mathem; 26; 1993; 27--40;

%SarkarMenq91
% kersey 20jun97
\rhl{SM91}
\refJ Sarkar, B., Menq, C. H.;
Parameter optimization in approximating curves and surfaces
   to measurement data;
\CAGD; 8; 1991; 267--290;

%Sarraga82
\rhl{S}
\refR Sarraga, R. F.;
Algebraic methods for intersections of quadric surfaces in GMSOLID
(Geometric modeling of solids);
GM-3944; 1982;

%Sarraga87a
% greg
\rhl{S}
\refJ Sarraga,  R.;
$G^1$ interpolation of generally
unrestricted cubic B\'ezier curves;
% Report GMR--5424; Computer Science
%Dept, General Motors Research Laboratories, Warren, Michigan 1986).
\CAGD; 4; 1987; 23--39;
% see Sarraga89a  for Errata

%Sarraga88
\rhl{S}
\refR Sarraga, R. F.;
Computer modeling of surfaces with arbitrary shapes;
GMR-6388; 1988;

%Sarraga89a
% greg
\rhl{S}
\refJ Sarraga,  R.;
Errata: $G1$ interpolation of generally unrestricted
cubic B\'ezier curves;
\CAGD; 6; 1989; 167--171;
% errata for Sarraga87a

%SatohChiyokura91a
\rhl{S}
\refQ Satoh,  T., Chiyokura, H.;
Boolean operations on sets using surface data;
(Proceedings of the Symposium on Solid Modeling
Foundations and CAD/CAM Applications, Texas, 1991), J. Rossignac and J.
Turner (eds.), ACM Press, (Boston); 1991; 119--127;

%Sattes80
% larry
\rhl{S}
\refD Sattes, U.;
Beste Approximation durch glatte Funktionen and Anwendungen in der
intermedi\"aren Approximation; Univ.\ Erlangen; 1980;

%Sauer01
% . 14may99 21jan02
\rhl{S}
\refJ Sauer, T.;
Gr\"obner bases, H--bases and interpolation; 
\TAMS; 353; 2001; 2293--2308;

%Sauer02a
% sauer
\rhl{S}
\refQ Sauer, T.;
Ideal bases for graded polynomial rings and applications to interpolation;
(Multivariate Approximation and Interpolation with Applications {(Monograph.
Acad.\ Cienc.\ Zaragoza vol.~20)}), 
M. Gasca (ed.), Academia de Ciencias (Zaragoza); 2002; 97--110;

%Sauer04a
% sauer
\rhl{S}
\refJ Sauer, T.;
Lagrange interpolation on subgrids of tensor product grids;
\MC; 73; 2004; 181--190;

%Sauer06
% author 03apr06
\rhl{S}
\refP Sauer, T.;
Polynomial interpolation in several variables: Lattices, differences,
   and ideals;
\Hohenheim; 
189--228;

%Sauer07
% carl 05mar08
\rhl{S}
\refP Sauer, Tomas;
Degree reducing interpolation, ideals and divided differences;
\Avignonf; 220--237;

%Sauer91
\rhl{S}
\refJ Sauer, T.;
Multivariate Bernstein polynomials and convexity;
\CAGD; 8; 1991; 465--478;
% introduces axial convexity, polyhedral convexity
% "Bivariate Bernstein polynomials do not preserve convexity. Make
% something out of it!"

%Sauer92
% carl
\rhl{S}
\refJ Sauer,  Thomas;
On the maximum principle of Bernstein polynomials on a simplex;
\JAT; 71(1); 1992; 121--122;
% one-line proof of the central result in a ~20pages paper and a
% 16pages paper

%Sauer93
% micchelli 29apr97
\rhl{S}
\refD Sauer, T.;
Ein Bernstein--Durrmeyer Operator auf dem Simplex;
PhD thesis, Universit\"at Erlangen (Germany); 1993;

%Sauer94
% larry
\rhl{S}
\refP Sauer, T.;
Axial convexity: a well-shaped shape property;
\ChamonixIIa; 419--425;

%Sauer94b
% shayne 21jan02
\rhl{}
\refJ Sauer, T.;
The genuine Bernstein--Durrmeyer operator on a simplex;
Results Math.; 26 no.\ 1--2; 1994; 99--130;

%Sauer95
% carl 12mar97 author 24mar99
\rhl{S}
\refP Sauer, T., Xu, Yuan;
A case study in multivariate Lagrange interpolation;
\SinghIII; 443--452;
% specialization of the error formula from SauerXu95a to interpolation at 
% the cardinal simplex points $\ZZ_k := \{x\in \ZZ_+: \norm{x}_1\le k\}$.

%Sauer95a
% carl
\rhl{S}
\refJ Sauer, T.;
Computational aspects of multivariate polynomial interpolation;
\AiCM; 3; 1995; 219--237;

%Sauer95c
% micchelli 29apr97
\rhl{S}
\refJ Sauer, T.;
Axially parallel subsimplices and convexity;
\CAGD; 12; 1995; 491--505;

%Sauer97
% shayne 20apr99
\rhl{S}
\refJ Sauer, Th.;
Polynomial interpolation of minimal degree;
\NM; 78(1); 1997; 59--85;
% introduces {\it monomial} spaces of minimal degree

%Sauer98
% carl 24mar99
\rhl{S}
\refP Sauer, Thomas;
Algebraic aspects of polynomial interpolation in several variables;
\TexasIXt; 287--296;

%Sauer98b
% . 14may99 carlrefs
\rhl{S}
\refQ Sauer, T.;
Polynomial interpolation of minimal degree and Gr{\"o}bner bases;
(Groebner Bases and Applications {(Proc.{} of the Conf.{} 33 Years of Groebner Bases)}, volume 251 of London Math.{} Soc.{} Lecture Notes),
B.~Buchberger, F.~Winkler (eds.),
Cambridge University Press (Cambridge); 1998; 483--494;

%SauerXu95a
% . 26oct95, carl
\rhl{S}
\refJ Sauer,  T., Xu, Yuan;
On multivariate Lagrange interpolation;
\MC; 64; 1995; 1147--1170;
% ms, 1994.
% MR 95j:41041

%SauerXu95b
% author 19nov95
\rhl{S}
\refJ Sauer, T., Xu, Yuan;
Multivariate Hermite interpolation;
\AiCM; 4; 1995; 207--259;

%SauerXu96
% . 14may99
\rhl{S}
\refJ Sauer, T., Xu, Yuan;
Regular points for {L}agrange interpolation on the unit disk;
\NA; 12; 1996; 287--296;

%SauerXuYS02
% author 05mar08
\rhl{SX}
\refP Sauer, Tomas, Xu, Yuesheng;
The Aitken-Neville scheme in several variables; 
\TexasXw; 353--366;

%SaundersSmith99
\rhl{S}
\refR Saunders, B. V., Smith, P. W.;
Grid generation and optimization using tensor product B-splines;
xx; xx;

%SavignatStabRassineuxVillon00
% larry 20apr00
\rhl{}
\refP Savignat, J. M., Stab, O., Rassineux, A., Villon, P.;
Diffuse curvature computation for surface recognition;
\Stmalod; 363--370;

%SaxenaJoshi80
\rhl{S}
\refJ Saxena,  R. B., Joshi, T. C.;
Inhomogenous lacunary interpolation by splines I.;
Serdica Buglaricae Math.\  Publ.; 6; 1980;  341--351;

%SaxenaVenturino99
\rhl{S}
\refR Saxena, A., Venturino, E.;
Solving two-point boundary value problems by means of deficient quartic
splines;
xx; xx;

%Sbert94
% larry
\rhl{S}
\refP Sbert, C.;
Partial differential equation techniques for surface determination;
\ChamonixIIb; 453--458;

%Schaback05
% carl 03apr06
\rhl{}
\refJ Schaback, R.;
Multivariate interpolation by polynomials and radial basis functions;
\CA; 21(3); 2005; 293--317;
% see also %Boor06a

%Schaback72
% larry, carl
\rhl{S}
\refJ Schaback, R.;
Anwendungen der konvexen Optimierung auf Approximationstheorie und
Splinefunktionen;
Methoden und Verfahren der Mathematischen Physik; 6; 1972; 129--151;

%Schaback73a
% larry, carl
\rhl{S}
\refJ Schaback, R.;
Konstruktion und algebraische Eigenschaften von M-Spline-Interpolierenden;
\NM; 21; 1973; 166--180;

%Schaback73b
% larry, carl
\rhl{S}
\refJ Schaback, R.;
Optimale Interpolations- und Approximationssysteme;
\MZ; 130; 1973; 339--349;

%Schaback73c
% larry, carl
\rhl{S}
\refJ Schaback, R.;
Interpolation mit nichtlinearen Klassen von Spline-Funktionen;
\JAT; 8; 1973; 173--188;

%Schaback73d
% larry, carl
\rhl{S}
\refJ Schaback, R.;
Spezielle rationale Splinefunktionen;
\JAT; 7; 1973; 281--292;

%Schaback75
\rhl{S}
\refR Schaback, R.;
On alternation numbers in nonlinear Chebyshev approximation;
Universit\"at Bonn preprint no.\ 58; 1975;
% was submitted to J. Approx.\ Theory

%Schaback76
\rhl{S}
\refP Schaback, R.;
Calculation of best approximations by rational splines;
\TexasII; 533--539;

%Schaback79
\rhl{S}
\refR Schaback, R.;
Bemerkungen zur Fehlerabsch\"atzung bei linearer
Tschebyscheff-Approximation;
Universit\"at G\"ottingen; 1979;

%Schaback85
\rhl{S}
\refR Schaback, R;
Interpolation und Approximation von funktionen mehrerer
Ver\"anderlicher, Lecture Notes;
G\"ottingen; 1985;

%Schaback89a
% greg
\rhl{S}
\refJ Schaback,  R.;
Interpolation with piecewise quadratic
visually $C^2$ Bezier polynomials;
\CAGD; 6; 1989; 219--233;

%Schaback89b
% larry
\rhl{S}
\refP Schaback,  R.;
Convergence of planar curve interpolation schemes;
\TexasVI; 581--584;

%Schaback89c
\rhl{S}
\refR Schaback,  R.;
Remarks on high accuracy geometric Hermite interpolation;
preprint, G\"ottingen; 1989;

%Schaback89d
% larry
\rhl{S}
\refP Schaback,  R.;
On global $GC^2$ convexity preserving interpolation
of planar curves by piecewise B\'ezier polynomials;
\Oslo; 539--547;

%Schaback90a
\rhl{S}
\refJ Schaback,  R.;
Error estimates for approximations from control nets;
\CAGD; xxx; to appear; xxx;

%Schaback91
\rhl{S}
\refR Schaback,  R.;
Lower bounds for norms of inverses of interpolation matrices for 
radial basis functions; 
preprint; 1991;

%Schaback91a
\rhl{S}
\refR Schaback,  R.;
Interpolation by piecewise conics of arbitrary type;
preprint, G\"ottingen; 1991;

%Schaback92
\rhl{S}
\refP Schaback,  Robert;
Geometrical differentiation and high-accuracy curve interpolation;
\SinghII; 445--462;

%Schaback93b
\rhl{S}
\refR Schaback, R.;
Error estimates and condition numbers for radial basis function
interpolation;
Univ.\ G\"ottingen; 1993;

%Schaback93c
\rhl{S}
\refR Schaback, R.;
Approximation by radial basis functions with finitely many centers;
Univ.\ G\"ottingen; 1993;

%Schaback93d
% . 20feb96
\rhl{S}
\refP Schaback, R.;
Comparison of radial basis function interpolants;
\ChileII; 293--305;

%Schaback94a
% larry
\rhl{S}
\refP Schaback, R.;
Approximation of polynomials by radial basis functions;
\ChamonixIIb; 459--466;

%Schaback95
% . 10nov97
\rhl{S}
\refP Schaback,  Robert;
Multivariate interpolation and approximation by translates of a basis
   function;
\TexasVIIIa; 491--514;
% survey

%Schaback96a
% . 5dec96
\rhl{S}
\refJ Schaback, R.;
Approximation by radial basis functions with finitely many centers;
\CA; 12(3); 1996; 331--340;
% Univ.\ G\"ottingen: 1993:

%Schaback97
% carl 26aug98
\rhl{S}
\refP Schaback, R.;
Radial basis functions viewed from cubic splines;
\Mannheimnisi; 235--258;

%Schaback97b
% larry 10sep99
\rhl{S}
\rhl{S}
\refP Schaback, R.;
On the efficiency of interpolation by radial basis functions;
\ChamonixIIIb; 309--318;

%SchabackBraess70
% larry
\rhl{S}
\refJ Schaback, R., Braess, D.;
Eine L\"osungsmethode f\"ur die lineare Tschebyscheff-Approximation bei
nicht erf\"ullter Haarscher Bedingung;
\C; 6; 1970; 289--294;

%SchabackWendland00
% larry 20apr00
\rhl{}
\refP Schaback, Robert, Wendland, Holger;
Numerical techniques based on radial basis functions;
\Stmalof; 359--374;

%SchabackWendland02
% hangelbroek 05mar08
\rhl{SW}
\refJ Schaback, Robert, Wendland, Holger;
Inverse and saturation theorems for radial basis function interpolation;
\MC; 71; 2002; 669--681;

%SchabackWendland93
\rhl{S}
\refR Schaback, R., Wendland, H.;
Special cases of compactly supported radial basis functions;
G\"ottingen; 1993; 

%Schaefer63
\rhl{S}
\refJ Schaefer,  H.;
Gl\"atteninterpolation bei einer Funktion von zwei Ver\"ander\-lichen;
\ZAMP; 14; 1963; 90--96;

%Schaefer77
\rhl{S}
\refJ Schaefer,  H.;
Fehlerabsch\"atzungen bei der Spline-Blending Interpolation;
\ZAMM; 57; 1977; 299--301;

%Schaffeld88
% larry
\rhl{S}
\refD Schaffeld, H.-J.;
Eine Finite-Elemente-Methode und ihre Anwendung zur erstellung von
Digitalen Gel\"andemodellen;
Aachen; 1988;

%Schagen79
\rhl{S}
\refJ Schagen,  I. P.;
Interpolation in two dimensions---a new technique;
\JIMA; 23; 1979; 53--59;

%Schagen80
\rhl{S}
\refJ Schagen,  I. P.;
The use of stochastic processes in interpolation and approximation;
Int.\ J. Comp.\ Math.\ B; 8; 1980; 63--76;

%Schagen82
\rhl{S}
\refJ Schagen,  I. P.;
Automatic contouring for scattered data points;
\CJ; 25; 1982; 7--11;

%Schechter71
% larry
\rhl{S}
\refJ Schechter,  E.;
A piecewise LaGrange interpolation with application
       to error estimates in finite-difference methods;
Studia Univ.\ Babes-Bolyai, Ser.\ Math.\ Mech.; 16; 1971; 67--73;

%ScheffoldSchlosser74a
% author 05feb96
\rhl{S}
\refJ Scheffold,  E.;
Das Spline-Problem als ein Approximationsproblem;
\JAT; 12; 1974; 265--282;

%ScheffoldSchlosser78
% sonya
\rhl{S}
\refJ Scheffold,  E., Schlosser, K. H.;
Spline--Funktionen mehrerer Ver\"ander\-licher;
\JAT; 23; 1978; 242--260;
% my interpretation: the $d$-dimens.tensor product of $L_2^{(m)}(\RR)$ has 
% the tensor product Taylor expansion at some point $z$ as a convenient 
% representer. The Hs treated in this paper is the subspace of all those $f$ 
% with $\supp (D_{1,...,d})^m f$ in some fixed $\Omega$ which is ``box-like'' 
% wrto z, i.e., contains, with each $x$, also the (axi-parallel) box with 
% extreme vertices $z$ and $x$. Use of this connection to tensor products 
% should simplify the given arguments.

%Scheid72
% larry
\rhl{S}
\refJ Scheid, F.;
A least squares family of cubic curves with an application to golf
handicapping;
\SJAM; 22; 1972; 77--83;

%Schelske84
\rhl{S}
\refD Schelske,  H. J.;
Lokale Gl\"attung segmentierter B\'ezier--Kurven und B\'ezier--Fl\"achen;
TH Darmstadt; 1984;

%Schempp70
\rhl{S}
\refR Schempp, W.;
\"Uber Spline-Grundr\"aume;
Bochum; 1970;

%Schempp70b
% larry
\rhl{S}
\refJ Schempp, W.;
On spaces of distributions related to Schoenberg's approximation
theorem;
\MZ; 114; 1970; 340--348;

%Schempp77a
\rhl{S}
\refP Schempp,  Walter;
Bernstein polynomials in several variables;
\Schempp; 212--219;

%Schempp82
\rhl{S}
\refP Schempp,  Walter;
Drei statt einer reellen Variablen?;
\MvatII; 331--341;

%SchemppTippenhauer74
% larry
\rhl{S}
\refJ Schempp, W., Tippenhauer, U.;
Reprokerne zu Spline-Grundr\"aumen;
\MZ; 136; 1974; 357--369;

%SchemppZeller77
\rhl{S}
\refB Schempp,  W., (eds.), K. Zeller;
Constructive Theory of Functions of Several Variables;
Springer-Verlag (Berlin); 1977;

%SchemppZeller79
\rhl{S}
\refB Schempp,  W., (eds.), K. Zeller;
Multivariate Approximation Theory;
ISNM 51, Birkh\"auser (Basel); 1979;

%SchemppZeller82
\rhl{S}
\refB Schempp,  W., (eds.), K. Zeller;
Multivariate Approximation Theory II;
Birkh\"auser (Basel); 1982;

%SchemppZeller85
\rhl{S}
\refB Schempp,  W., (eds.), K. Zeller;
Multivariate Approximation Theory III;
Birkh\"auser (Basel); 1985;

%Schenck97a
% Henry K. Schenck 03dec99
\rhl{S}
\refD Schenck, H.;
Homological methods in the theory of splines;
Cornell University (Ithaka NY); 1997;

%Schenck97b
% Henry Schenck 03dec99
\rhl{S}
\refJ Schenck, H.;
A spectral sequence for splines;
\AiAM; 19; 1997; 183--199;

%Schenck99
% Henry Schenck 03dec99
\rhl{S}
\refJ Schenck, H.;
Subalgebras of the Stanley-Reisner ring;
\DCG; 21; 1999; 551--556;

%SchenckStillman97a
% Henry Schenck 03dec99
\rhl{S}
\refJ Schenck, H., Stillman, M.;
Local cohomology of bivariate splines;
J. Pure Applied Algebra; 117/118; 1997; 535--548;

%SchenckStillman97b
% Henry Schenck 03dec99
\rhl{S}
\refJ Schenck, H., Stillman, M.;
A family of ideals of minimal regularity and the Hilbert series of
   $C^r(\Delta)$;
\AiAM; 19; 1997; 169--182;

%Schenk9x
\rhl{S}
\refD Schenk,  Th.;
Zur Reduktion der Kondition diskreter gew\"ohnlicher Randwertprobleme h\"oherer
Ordnung;
Math.-Naturw.\ Fakult\"at, Rheinisch-Westf\"alische Techn.\ Hochschule, Aachen;
199x;

%Scherer00
% larry 20apr00
\rhl{}
\refP Scherer, K.;
Parametric polynomial curves of local approximation order 8;
\Stmalof; 375--384;

%Scherer70
% larry
\rhl{S}
\refJ Scherer, K.;
On the best approximation of continuous functions by splines;
\SJNA; 7; 1970; 418--423;

%Scherer72
\rhl{S}
\refQ Scherer,  K.;
A comparison approach to direct theorems for polynomial spline approximation;
(Proc.\  Conf.\ Th.\  Approx.), xxx (ed.), xxx (Poznan); 1972; XX;

%Scherer73
\rhl{S}
\refR Scherer, K.;
\"Uber Ungleichungen vom Bernstein-Typ in Banachr\"aumen;
Aachen; 1973;

%Scherer74
% carlbooks 08apr04
\rhl{}
\refP Scherer, K.;
Approximation theorems for polynomial spline operators;
\Madras; 438--467;

%Scherer77
% larry
\rhl{S}
\refP Scherer,  K.;
Optimal degree of approximation by splines;
\Micchelli; 139--149;

%Scherer79
\rhl{S}
\refR Scherer, K.;
Approximation by piecewise polynomials with variable degrees and knots;
Bonn, preprint no.\ 316; 1979;

%Scherer7x
% . 10nov97
\rhl{S}
\refR Scherer,  K.;
\"Uber die Konvergenz von nat\"urlichen interpolierenden
 Splines ungerader Ordnung;
Technische Hochschule Aachen; 197x;

%Scherer80
\rhl{S}
\refR Scherer, K.;
On optimal global error bounds obtained by scaled local error estimates;
Universit\"at Bonn, preprint no.\ 393; 1980;
% submitted to \NM

%Scherer85
\rhl{S}
\refR Scherer, K.;
On the condition number of the B-spline basis;
Universit\"at Bonn, preprint no.\ 731; 1985;
% submitted to \NM

%Scherer86
\rhl{S}
\refR Scherer, K.; 
Uniqueness of best parametric interpolation by cubic splines;
Universit\"at Bonn, preprint no.\ 814; 1986;
% published in \CA , see Scherer97

%Scherer91a
% scott 19may96
\rhl{S}
\refP Scherer, K.;
Extension of the problem of best interpolating parametric curves to L-splines;
\ChamonixI; 427--432;

%Scherer94a
% author 5dec96
\rhl{S}
\refQ Scherer, K.;
The condition number of B-splines and related constants;
(Open Problems in Approximation Theory), B. Bojanov (ed.), SCT Publishing
(Singapore); 1994; 180--191;

%Scherer95
% carl 07may96
\rhl{S}
\refP Scherer, K.;
On local parametric approximation by polynomial curves;
\IDoMATnifi; 285--293;

%Scherer97
% . 14may99
\rhl{S}
\refJ Scherer, K.;
Uniqueness of best parametric
   interpolation by cubic spline curves; 
CA; 13; 1997; 393--419;

%Scherer99a
\rhl{S}
\refR Scherer, K.;
Some inverse theorems for best approximation by $\Lambda$-splines;
xx; 1999;

%Scherer99b
\rhl{S}
\refR Scherer, K.;
Characterization of generalized Lipschitz classes by best approximation
with splines;
xx; 19xx;

%Scherer99c
\rhl{S}
\refR Scherer, K.;
\"Uber die beste Approximation von $L_p$-Funktionen durch Splines;
xx; 1999;

%Scherer99d
\rhl{S}
\refR Scherer, K.;
Best approximation by Chebyshevian splines and generalized Lipschitz
spaces;
xx; 1999;

%SchererSchumaker80
% larry
\rhl{S}
\refJ Scherer,  Karl, Schumaker, Larry L.;
A dual basis for $L-$splines and applications;
\JAT; 29; 1980; 151--169;

%SchererShadrin96a
% carl 5dec96
\rhl{S}
\refJ Scherer, K., Shadrin, A. Yu.;
New upper bound for the B-spline basis condition number;
\EJA; 2(3); 1996; 331--342;
% get the bound  $\sqrt{k}4^k$ ; see %SchererShadrin98

%SchererShadrin96b
%  10nov97
\rhl{S}
\refR Scherer, K., Shadrin, A. Yu.;
Some remarks on the B-spline basis condition number;
ms; 1996;

%SchererShadrin99
%  carl 03dec99
\rhl{S}
\refJ Scherer, K., Shadrin, A. Yu.;
New upper bound for the B-spline basis condition number. II.  A proof
   of de Boor's $2^k$-conjecture;
\JAT; 99(2); 1999; 217--229;

%SchererSmith86
\rhl{S}
\refR Scherer, K., Smith, P. W.;
Existence of best parametric interpolation by curves;
Universit\"at Bonn, preprint no.\ 800; 1986;

%SchererZeller81
\rhl{S}
\refP Scherer,  K., Zeller, K.;
Bivariate polynomial approximation;
\CiesielskiII; 621--628;

%Schererxx
% .
\rhl{S}
\refR Scherer, Karl;
$O(h^{2n})$ approximation by piecewise polynomial curves of degree $n$ in the
plane;
to appear; 1994;
% proof(??) of a hard conjecture?

%Schiro82
% larry
\rhl{S}
\refD Schiro,  R. A.;
An adaptive application of multiquadric
interpolants for numerically modelling large
numbers of irregularly spaced hydrographic data;
Texas A\&M University; 1982;

%SchiroWilliams84
\rhl{S}
\refJ Schiro,  R. A., Williams, G.;
An adaptive application of multiquadric
interpolants for numerically modelling large
numbers of irregularly spaced hydrographic data;
Surveying and Mapping; 44; 1984; 365--381;

%Schlatter75
\rhl{S}
\refJ Schlatter,  T. W.;
Some experiments with a multivariate
statistical objective analysis scheme;
Mon.\ Wea.\ Rev.; 103; 1975; 246--257;

%SchlatterBranstatorThiel76
\rhl{S}
\refJ Schlatter,  T. W., Branstator, S. W., Thiel, L. G.;
Testing a global multivariate statistical objective analysis scheme with
observed data;
Mon.\ Wea.\ Rev.; 104; 1976; 765--783;

%Schloglmann79
\rhl{S}
\refP Schl\"oglmann,  W.;
Spline functions and Gaussian processes (multidimensional case);
\MvatI; 353--358;

%Schlosser74
\rhl{S}
\refP Schl\"osser,  K. H.;
Mehrdimensionale Spline--Interpolation mit Hilfe der
Methoden von Sard;
\BoehmerII; 247--264;

%Schlosser75
\rhl{S}
\refJ Schl\"osser,  K. H.;
Mehrdimensionale Spline-Interpolation mittels Spline-Systemen;
\ZAMM; 55; 1975; 260--262;

%Schmeltz90
\rhl{S}
\refR Schmeltz, G.;
Charakterisierende Eigenschaften von variationsreduzierenden
Kurvendarstellungen;
TH Darmstadt; 1990;

%Schmeltz92a
\rhl{S}
\refD Schmeltz,  G.;
Stretch Variationsreduzierende Kurvendarstellungen und
Kr\"um\-mungs\-kri\-terien f\"ur B\'ezier-Fl\"achen;
Technische Hoch\-schu\-le Darmstadt; 1992;

%Schmeltz94
% larry
\rhl{S}
\refP Schmeltz, G.;
Variation diminution and blossoming for curves and surfaces;
\ChamonixIIa; 427--434;

%SchmidXuY9x
% carlrefs 20nov03
\rhl{}
\refR Schmid, H. J., Xu, Yuan;
On bivariate Gaussian cubature formulae;
ms; 199x;

%Schmidt40
% shayne 19nov95
\rhl{S}
\refJ Schmidt, E.;
\"Uber die Ungleichung, welche die Integrale \"uber eine Potenz einer 
Funktion und \"uber eine andere Potenz ihrer Ableitung verbindet;
\MA; 117; 1940; 301--326;
% Schmidt's inequality. Is closely related to computing certain n-widths.

%SchmidtF77
% larry
\rhl{S}
\refJ Schmidt, F.;
Variable fine mesh in spectral global methods;
Beitr\"age zur Physik der Atmosph\"are; 50; 1977; 211--217;

%SchmidtG84a
% . 05feb96
\rhl{S}
\refJ Schmidt, G.;
The convergence of Galerkin and collocation methods with splines for
   pseudodifferential equations on closed curves;
Z. Anal.\ Anwendungen; 3; 1984; 371--384;

%SchmidtHess95
% carl 7sep95
\rhl{S}
\refJ Schmidt, Jochen W., He\ss, Walter;
An always successful method in univariate convex $C^2$ interpolation;
\NM; 71(2); 1995; 237--252;
% introduce two add'l knots in each data interval; observe that it is then
% possible to match any smooth function three-fold at each datapoint, and in an
% entirely local manner. Convexity is equivalent to having the resulting 
% second-derivative values be of one sign, and this can be achieved, for 
% strictly convex data, by proper (global, left-to-right) choice of the
% add'l knots. Monotone and/or positive interpolation is even easier.

%SchmidtJ78
% larry
\rhl{S}
\refJ Schmidt,  J. W.;
Zur Konvergenz von kubischen Interpolations-splines;
\ZAMM; 58; 1978;  109--110;

%SchmidtJ86
% author
\rhl{S}
\refJ Schmidt, J. W.;
Convex interval interpolation with cubic splines;
\BIT; 26; 1986; 377--387;

%SchmidtJ87
% larry
\rhl{S}
\refP Schmidt, J. W.;
On the convex cubic $C^2$-spline interpolation;
\NmatVIII; 213--228;

%SchmidtJ89
% carl
\rhl{S}
\refQ Schmidt,  J.;
On shape preserving spline interpolation: existence theorems and determination
of optimal splines;
(Approximation and Function Spaces), 
xxx (ed.), Banach Center Publications, vol.\
22, PWN-Polish Scientific Publishers (Warsaw); 1989; 377--389;

%SchmidtJ93
% . 12mar97
\rhl{S}
\refJ Schmidt, J. W.;
Positive, monotone, and S-convex $C^1$-histopolation on rectangular grids;
\C; 50; 1993; 19--30;

%SchmidtJ94
% author
\rhl{S}
\refQ Schmidt, J. W.;
Nonlinear splines in convex and S-convex interpolation;
(Proceed.\ Internat.\ Colloquium Numer.\ Anal.\ Plovdiv 1993), xxx (ed.),
VSP (Zeist); 1994; 177--186;

%SchmidtJHess84
% author
\rhl{S}
\refJ Schmidt, J. W., He\ss, W.;
Schwach verkoppelte Ungleichungssysteme und konvexe Spline-Interpolation;
Elem.\ Math.; 39; 1984; 85--95;

%SchmidtJHess89a
% larry
\rhl{S}
\refJ Schmidt,  J. W., Hess, W.;
Spline interpolation under two-sided restrictions on the derivatives;
\ZAMM; 69; 1989; 353--365;

%SchmidtJHess93
% . 12mar97
\rhl{S}
\refJ Schmidt,  J. W., He\ss, W.;
Shape preserving $C^2$-spline histopolation;
\JAT; 75; 1993; 325--345;

%SchmidtJHessNordheim90
% carl
\rhl{S}
\refJ Schmidt,  J., He\ss, W., Nordheim, Th.;
Shape preserving histopolation using rational quadratic splines;
\C; 44; 1990; 245--258;

%SchmidtJMettke78
% larry
\rhl{S}
\refJ Schmidt,  J. W., Mettke, H.;
Zur Konvergenz von quadratischen Interpo\-lations- und
Fl\"achenabgleichsplines;
\C; 19; 1978; 351--363;

%SchmidtJSakai90
% carl
\rhl{S}
\refJ Schmidt,  J., Sakai, M.;
A criterion for the positivity of rational cubic $C^2$-spline interpolants;
\C; 44; 1990; 365--368;

%SchmidtJScholz90
% carl
\rhl{S}
\refJ Schmidt,  J., Scholz, Isa;
A dual algorithm for convex-concave data smoothing by cubic $C^2$-splines;
\NM; 57; 1990; 333--350;

%SchmidtLancaster71
\rhl{S}
\refR Schmidt, E., Lancaster, P.;
L-splines for constant coefficient differential operators;
Conf.\ Numerical Maths., Winnipeg 457--462; 1971;

%SchmidtLancasterWatkins75
% carl
\rhl{SLW}
\refJ Schmidt, Eckard, Lancaster, Peter, Watkins, David;
Bases of splines associated with constant coefficient differential
   operators;
\SJNA; 12(4); 1975; 630--645;
% manages without using properties of ECT systems since the kernel of a 
% constant coefficient DO is translation-, hence differentiation-invariant.
% Uses Karlin's properly generalized dvd and follows CurrySchoenberg66.

%SchmidtR76a
% .
\rhl{S}
\refR Schmidt,  R.;
Spline-Prozeduren;
Hahn-Meitner; 1976;

%SchmidtR81
% larry
\rhl{S}
\refJ Schmidt,  R. M.;
Software--Werkzeuge f\"ur Fitprobleme;
Angew.\ Informatik; 2; 1981; 65--67;

%SchmidtR81b
\rhl{S}
\refR Schmidt,  R.;
Formelsammlung zum Spectrenfit;
Hahn-Meitner; 1981;

%SchmidtR82b
% larry carlrefs
\rhl{S}
\refP Schmidt,  R. M.;
Eine Methode zur Konstruktion von $C^1$-Fl\"achen
zur Interpolation unregelm\"assiger Daten;
\MvatII;  343--361;

%SchmidtR83a
\rhl{S}
\refP Schmidt,  R.;
Fitting scattered surface data with large gaps;
\CagdI; 185--190;

%SchmidtR85a
% .
\rhl{S}
\refP Schmidt,  R. M.;
Ein Beitrag zur Fl\"achenapproximation \"uber unregel\-m\"assig
verteilten Daten;
\MvatIII; 363--369;

%SchmidtR85b
\rhl{S}
\refR Schmidt,  R. M.;
Einstufige Verfahren zur Fl\"achenapproximation unregel\-m\"assig verteilter
Daten durch Tensor--Produkt--B--Splines;
hahn-Meitner Institute, Berlin; 1985;

%SchmidtR88
\rhl{S}
\refR Schmidt, R.;
Formerhaltende Interpolation;
Angewandte Informatik, 177--180; 1988;

%SchmidtRSteinVidic76
\rhl{S}
\refR Schmidt,  R., Stein, D., Vidic, C.;
Linearer Ausgleich diskreter Daten mit dem interaktiven
 Programm LINFIT;
Hahn-Meitner; 1976;

%SchmidtRSteinfeld86a
% .
\rhl{S}
\refR Schmidt,  R. M., Steinfeld, M.;
Die Konstruktion von stetig
differenzierbaren Fl\"achen zur Interpolation unregelm\"assig
verteilter Daten;
Rpt.\ HMI-B371, Hahn-Meitner-Institut (Berlin); 1986;

%SchmidtWalther97
% carl 26aug98
\rhl{S}
\refP Schmidt, J., Walther, M.;
Gridded data interpolation with restrictions on the first orde derivatives;
\Mannheimnisi; 289--306;

%Schneider93
% larry
\rhl{S}
\refD Schneider, F.-J.;
Interpolation, Approximation und Konvertierung mit rationalen B-Splines;
Darmstadt; 1993;

%SchneiderKobbelt00
% larry 20apr00
\rhl{}
\refP Schneider, R., Kobbelt, L.;
Discrete fairing of curves and surfaces based on linear curvature
   distribution;
\Stmalod; 371--380;

%SchneiderWerner86
% . 14may99
\rhl{S}
\refJ Schneider, C., Werner, W.;
Some new aspects of rational interpolation;
\MC; xx; 1986; xxx--xxx;
% derivative of polynomial interpolant in barycentric form

%Schoenberg34a
% carl 02feb01
\rhl{S}
\refJ Schoenberg,  I. J.;
Zur Abz\"ahlung der reellen Wurzeln algebraischer Gleichungen;
\MZ; 38; 1934; 546--564;
%

%Schoenberg35a
\rhl{S}
\refJ Schoenberg,  I. J.;
Remarks to Maurice Fr\'echet's article `Sur la d\'efinition axiomatique d'une
classe d'espace distanci\'es vectoriellement applicable sur l'espace de
Hilbert';
Ann.\ Math.; 36; 1935; 724--732;

%Schoenberg37a
% carl
\rhl{S}
\refJ Schoenberg,  I. J.;
On certain metric spaces arising from Euclidean spaces by a change of metric
and their imbedding in Hilbert space;
Ann.\ Math.;  38(4); 1937; 787--793;

%Schoenberg38a
% carl
\rhl{S}
\refJ Schoenberg,  I. J.;
Metric spaces and completely monotone functions; 
Ann.\ Math.;  39(4); 1938; 811--841;

%Schoenberg38b
% carl
\rhl{S}
\refJ Schoenberg,  I. J.;
Metric spaces and positive definite functions;
\TAMS; 44; 1938; 522--536;

%Schoenberg42
% .
\rhl{S}
\refJ Schoenberg, I. J.;
Positive definite functions on spheres;
\DMJ; 9; 1942; 96--108;

%Schoenberg46a
% larry
\rhl{S}
\refJ Schoenberg,  I. J.;
Contributions to the problem of approximation
  of equidistant data by analytic functions,  Part A:
  On the problem of smoothing or graduation,  a first
  class of analytic approximation formulas;
Quart.\ Appl.\ Math.; 4; 1946;	45--99;

%Schoenberg46b
\rhl{S}
\refJ Schoenberg,  I. J.;
Contributions to the problem of approximation of
  equidistant data by analytic functions,  Part B:
  On the problem of osculatory interpolation,  a
  second class of analytic approximation formulae;
Quart.\ Appl.\  Math.; 4; 1946; 112--141;

%Schoenberg48a
% . 21feb96
\rhl{S}
\refJ Schoenberg, I. J.;
On variation-diminishing integral operators of the convolution type;
\PNAS; 34; 1948; 164--169;

%Schoenberg58
% larry
\rhl{S}
\refJ Schoenberg,  I. J.;
Spline functions convex curves and mechanical quadratures;
\BAMS; 64; 1958; 352--357;

%Schoenberg59
\rhl{S}
\refP Schoenberg,  I. J.;
On variation diminishing approximation methods;
\Langer; 249--274;

%Schoenberg64
% Elisabeth
\rhl{S}
\refJ Schoenberg,  I. J.;
On best approximations of linear operators;
Indag.\ Math.; 26; 1964; 155--163;
% Koninkl.\  Ned.\ Akad.\  Wetenschap.\  Proc.\  Ser.\  A: 67: 1964:  155--163:

%Schoenberg64b
\rhl{S}
\refQ Schoenberg,  I. J.;
On interpolation by spline functions and its
  minimal properties;
(On Approximation Theory (Proc.\ Oberwolfach Conf.\ 4--10 Aug, 1963)), 
P. L. Butzer and J. Korevaar (eds.), ISNM Vol.\ 5, Birkh\"auser (Basel);
1964;  109--129;

%Schoenberg64c
% larry
\rhl{S}
\refJ Schoenberg,  I. J.;
Spline interpolation and the higher derivatives;
\PNAS; 51; 1964;  24--28;

%Schoenberg64d
% larry
\rhl{S}
\refJ Schoenberg,  I. J.;
Spline interpolation and best quadrature formulae;
\BAMS; 70; 1964; 143--148;

%Schoenberg64e
% carl
\rhl{S}
\refJ Schoenberg,  I. J.;
On trigonometric spline interpolation;
\JMM; 13(5); 1964; 795--825;

%Schoenberg64g
\rhl{S}
\refJ Schoenberg,  I. J.;
Spline functions and the problem of graduation;
\PAMS; 52; 1964;  947--950;

%Schoenberg65a
% larry
\rhl{S}
\refJ Schoenberg, I. J.;
On monosplines of least deviation and best quadrature formulae;
\SJNA; 2; 1965; 144--170;

%Schoenberg65b
% . 19may96
\rhl{S}
\refR Schoenberg, I. J.;
Letter to Philip J. Davis;
31 May; 1965;
% see http://pages.cs.wisc.edu/~deboor/HAT/isolet.pdf

%Schoenberg66a
% larry
\rhl{S}
\refJ Schoenberg,  I. J.;
On monosplines of least deviation and best quadrature formulae II.;
\SJNA; 3; 1966;  321--328;

%Schoenberg66b
\rhl{S}
\refJ Schoenberg,  I. J.;
On Hermite-Birkhoff interpolation;
\JMAA; 16; 1966;  538--543;
% renewed interest in Birkhoff interpolation; intro of `poised' even though
% already Polya31 had used `normal', as had BirkhoffGD06

%Schoenberg67a
% larry
\rhl{S}
\refQ Schoenberg,  I. J.;
On spline functions (with a supplement by T. N. E. Greville);
(Inequalities I), O.  Shisha (ed.),
Academic  Press (New York); 1967; 255--291;

%Schoenberg68a
\rhl{S}
\refQ Schoenberg,  I. J.;
Spline interpolation and the higher derivatives;
(Abhandlungen aus Zahlentheorie und Analysis),
P. Turan (ed.), Deutscher Verlag der Wissenschaften (Berlin); 1968; 279--295;
% cf Schoenberg69b

%Schoenberg68b
\rhl{S}
\refJ Schoenberg,  I. J.;
On spline interpolation at all integer points of the
  real axis;
Matematica (Cluj); 10; 1968;  151--170;

%Schoenberg68c
\rhl{S}
\refJ Schoenberg,  I. J.;
On the Ahlberg-Nilson extension of spline interpolation:
  the g-splines and their optimal properties;
\JMAA; 21; 1968;  207--231;

%Schoenberg69a
% larry
\rhl{S}
\refP Schoenberg, I. J.;
Monosplines and Quadrature Formulae;
\MadisonI; 157--207;

%Schoenberg69b
\rhl{S}
\refQ Schoenberg,  I. J.;
Spline interpolation and the higher derivates;
(Number Theory and Analysis), xxx (ed.),
Plenum (New York); 1969; 279--295;
% isn't this the same as Schoenberg68a?

%Schoenberg69c
% sonya
\rhl{S}
\refJ Schoenberg,  I. J.;
Cardinal interpolation and spline functions;
\JAT; 2; 1969; 167--206;

%Schoenberg69d
% carl 22may98
\rhl{S}
\refB Schoenberg{ (ed.)}, I. J.;
Approximation with Special Emphasis on Spline Functions;
Academic Press (New York); 1969;

%Schoenberg70a
% larry
\rhl{S}
\refJ Schoenberg,  I. J.;
A second look at approximate quadrature formulae
  and spline interpolation;
\AiM; 4; 1970;  277--300;

%Schoenberg71b
% larry 29apr97
\rhl{S}
\refJ Schoenberg,  I. J.;
On equidistant cubic spline interpolation;
\BAMS; 77; 1971;  1039--1044;
% MRC Rept.\ 1121: june 1971: On cubic spline interpolation at equidistant nodes

%Schoenberg71d
% .
\rhl{S}
\refJ Schoenberg, I. J.;
The perfect B-splines and a time-optimal control problem;
\IsJM; 10; 1971; 261--274;

%Schoenberg71e
% author 29apr97
\rhl{S}
\refQ Schoenberg, I. J.;
On polynomial spline functions on the circle. I and II;
(Proceedings of the Conference on Constructive Theory of Functions), xxx
(ed.), Hungarian Acad.\ Sci.{} (Budapest); 1971; 403--433;

%Schoenberg72a
% larry
\rhl{S}
\refJ Schoenberg, I. J.;
Cardinal interpolation and spline functions: II.  Interpolation of data
of power growth;
\JAT; 6; 1972; 404--420;

%Schoenberg72b
\rhl{S}
\refR Schoenberg, I. J.;
Notes on spline functions II.  On the smoothing of histograms;
University of Wisconsin-Madison, Mathematics Research Center, Rpt.\ \#
1222; 1972;


%Schoenberg72d
% author 29apr97
\rhl{S}
\refP Schoenberg,  I. J.;
Cardinal interpolation and spline functions IV. The exponential Euler
   splines;
\ButzerI; 382--404;
% MRC TSR 1153, dec71

%Schoenberg72e
% author 29apr97
\rhl{S}
\refJ Schoenberg, I. J.;
Notes on spline functions I.  The limits of the interpolating periodic spline
   functions as their degree tends to infinity;
Indag.\ Math.; 34(5); 1972; 412--422;
% MRC TSR 1219, 1972

%Schoenberg73a
\rhl{S}
\refB Schoenberg,  I. J.;
Cardinal Spline Interpolation;
Vol.~12, CBMS, SIAM (Philadelphia); 1973;

%Schoenberg73b
% carl NOTE: former 73b also exists, completed, as 73c
\rhl{S}
\refJ Schoenberg,  I. J.;
List of Publications of I. J. Schoenberg;
\JAT; 8; 1973; x--xiv;

%Schoenberg73c
\rhl{S}
\refP Schoenberg,  I. J.;
Splines and histograms (with an Appendix by C. de Boor);
\EdmontonI; 277--327;

%Schoenberg73d
%  carl
\rhl{S}
\refJ Schoenberg,  I. J.;
Notes on spline functions III: On the convergence of the interpolating cardinal splines as their degree tends to infinity;
\IsJM; 16; 1973; 87--93;
% follow-up on Golitschek72

%Schoenberg73e
% carl 22may98
\rhl{S}
\refJ Schoenberg, I. J.;
The elementary cases of Landau's problem of inequalities between
   derivatives;
\AMMo; 80; 1973; 121--158;
% MRC TSR 1147, feb72 author has
% The elementary cases of Landau's inequality between derivatives

%Schoenberg74a
% . 5dec96
\rhl{S}
\refJ Schoenberg, I. J.;
Cardinal interpolation and spline functions VI.  Semi-cardinal
   interpolation and quadrature formulae;
\JAM; XXVII; 1974; 159--204;
% MRC Rpt.\ \# 1180: 1971:

%Schoenberg74b
% carl
\rhl{S}
\refJ Schoenberg,  I. J.;
Cardinal interpolation and spline functions VII. The behavior of cardinal
spline interpolation as their degree tends to infinity;
\JAM; XXVII; 1974; 205--229;

%Schoenberg74c
% author 05feb96
\rhl{S}
\refQ Schoenberg, I. J.;
Spline functions and differential equations -- First order equations;
(Studies in Numerical Analysis), B.K.P. Scaife (ed.), Academic Press (London);
1974; 311--324;
% Spline functions and differential equations I.  First order equations;
% University of Wisconsin-Madison, Mathematics Research Center, Rpt.\ \#
% 1267: 1972:

% see Schoenberg72c

%Schoenberg75a
% author 20feb96
\rhl{S}
\refJ Schoenberg, I. J.;
Notes on spline functions V.  Orthogonal or Legendre splines;
\JAT; 13; 1975; 84--104;
%  UW Mathematics Research Center, Rpt.\ \#1360: 1973:

%Schoenberg76a
% author 29apr97
\rhl{S}
\refP Schoenberg, I. J.;
On remainders and the convergence of cardinal spline interpolation for almost
   periodic functions;
\Karlin; 277--303;
% MRC TSR 1514, dec74

%Schoenberg76b
% author 29apr97
\rhl{S}
\refP Schoenberg, I. J.;
On Charles Micchelli's theory of cardinal L-splines;
\Karlin; 251--276;
% MRC TSR 1511, dec74

%Schoenberg76c
% author 20jun97
\rhl{S}
\refQ Schoenberg, I. J.;
The Landau problem of the differential operator $D^2 - \alpha^2$ in a
   circular ring;
(Fourier Analysis and Approximation Theory), xxx (ed.),
Colloquia Mathematica Societatis Janos Bolyai, 19, (Budapest);
1976; 713--723;

%Schoenberg76d
% author 29apr97
\rhl{S}
\refP Schoenberg, I. J.;
Notes on spline functions VI.  Extremum problems of the Landau-type for
   the differential operators $D^2\pm1$;
\Karlin; 353--368;
% MRC TSR 1423, 1974

%Schoenberg77
% . 20jun97
\rhl{S}
\refQ Schoenberg, I. J.;
On cardinal spline smoothing;
(Proc.\ Internat.\ Symp.\ Approx.\ Theory, Campinas, Brazil), J. B. Prolla
(ed.), North-Holland Publ., Doordrecht (Holland); 1979; 383--407;
% mrc tsr 1914

%Schoenberg77a
% author 20jun97
\rhl{S}
\refJ Schoenberg, I. J.;
Approximating lengths, areas and volumes by polygons and polyhedra;
Delta; 7; 1977; 32--46;

%Schoenberg77b
% . 20jun97
\rhl{S}
\refJ Schoenberg, I. J.;
The Landau problem for motions in a ring and in bounded continua;
\AMMo; 84; 1977; 1--12;
% mrc tsr 1563, 1975.
of polynomials;
mrc tsr 2757; 1984;

%Schoenberg77c
% . 20jun97
\rhl{S}
\refQ Schoenberg,  I. J.;
On the zeros of the successive derivatives of integral functions. II;
(Complex Analysis, Kentucky 1976), J. D. Buchholz and T. J. Suffridge (eds.),
Lecture Notes in Mathematics {\bf599}, Springer-Verlag (New York); 1977;
109--116;

%Schoenberg78
% . 20jun97
\rhl{S}
\refJ Schoenberg, I. J.;
Extremum problems for the motions of a billiard ball. III:
   The multidimensional case of K\"onig and Szucs;
\SM; 13; 1978; 53--78;
% mrc tsr 1880

%Schoenberg83a
% . 20jun97
\rhl{S}
\refJ Schoenberg, I. J.;
Interpolating splines as limits of polynomials;
\LAA; 52/53; 1983; 617--628;
% mrc tsr 2234, 1981.

%Schoenberg83b
% . 20jun97
\rhl{S}
\refJ Schoenberg,  I. J.;
A new approach to Euler splines;
\JAT; 39; 1983; 324--337;

%Schoenberg84a
% . 20jun97
\rhl{}
\refR Schoenberg, I. J.;
On the spans of polynomials and the spans of a Laguerre-Polya-Schur sequence
   of polynomials;
MRC Technical Summary Report \#2757; 1984;

%Schoenberg84b
% . 20jun97
\rhl{S}
\refQ Schoenberg,  I. J.;
Euler's contribution to cardinal spline interpolation: The exponential Euler
   spline;
(Leonhardt Euler 1707--1783, Beitr\"age zu Leben und Werk), xxx (ed.),
Birkh\"auser (Basel); 1984; 199--213;
\JAT; 39; 1983; 324--337;

%Schoenberg84c
% . 20nov03
\rhl{}
\refR Schoenberg, I. J.;
On the quadratic mean radius of a polynomial in $\CC[z]$;
MRC Technical Summary Report \#2773; 1984;

%Schoenberg84d
% . 20nov03
\rhl{}
\refR Schoenberg, I. J.;
On a theorem of Szeg\H o on univalent convex maps of the unit circle;
MRC Technical Summary Report \#2647; 1984;

%Schoenberg88
% carl 12mar97
\rhl{S}
\refB Schoenberg, I. J.;
Selected Papers, Vols.\ 1 \& 2;
C. de Boor (ed.), Birkh\"auser (Basel); 1988;
% ISBN 3-7643-3378-2 ,  ISBN 3-7643-3405-3  

%Schoenberg88b
\rhl{} 20nov03
\refJ Schoenberg,  I. J.;
The Chinese remainder problem and polynomial interpolation;
College Math.{} J.; 18(4); 1988; 320--322;

%SchoenbergCavaretta72
\rhl{S}
\refP Schoenberg, I. J., Cavaretta, A.;
Solution of Landau's problem concerning higher derivatives on the
halfline;
\VarnaI; 297--308;
% University of Wisconsin-Madison, Mathematics Research Center, Rpt.\ \#
% 1050: 1970:

%SchoenbergSharma71
% sherm
\rhl{S}
\refJ Schoenberg,  I. J., Sharma, A.;
The interpolatory background of the Euler-Maclaurin quadrature formula; 
\BAMS; 77; 1971; 1034--1038;

%SchoenbergSharma73
% larry
\rhl{S}
\refJ Schoenberg, I. J., Sharma, A.;
Cardinal Interpolation and spline functions V.  The B-splines for
cardinal Hermite interpolation;
\LAA; 7; 1973; 1--42;

%SchoenbergSilliman74
% sherm, carl
\rhl{S}
\refJ Schoenberg, I. J., Silliman, S. D.;
On semi-cardinal quadrature formulae; 
\MC; 28(126); 1974; 483--497;
% extended abstract in  \TexasI: 461--467:

%SchoenbergWhitney49
\rhl{S}
\refJ Schoenberg,  I. J., Whitney, A.;
Sur la positivit\'e des d\'eterminants de translations
  des fonctions de fr\'equence de P\'olya avec une
  application a une probl\`eme d'interpolation;
\CRASP  Ser.\ A; 228; 1949; 1996--1998;

%SchoenbergWhitney53a
% . 19may96
\rhl{S}
\refJ Schoenberg, I. J., Whitney, A.;
On P\'olya frequency functions.\ III.  The positivity of translation
   determinants with an application to the interpolation problem by spline
   curves;
\TAMS; 74; 1953; 246--259;

%SchoenbergZiegler70
% larry
\rhl{S}
\refJ Schoenberg, I. J., Ziegler, Z.;
On cardinal monosplines of least $L_{\infty}$-norm on the real axis;
\JAM; 23; 1970; 409--436;

%Schomberg73
% werner 26aug98
\rhl{S}
\refD Schomberg, H.;
Tschebyscheff-Approximation durch rationale Splinefunktionen mit freien
   Knoten;
M\"unster (Germany); 1973;
% free knots: see Werner79a

%Schonefeld68
\rhl{S}
\refR Schonefeld, S.;
Schauder bases in spaces of differentiable functions;
586--590; 1968;

%Schonhage61
% . 21nov08
\rhl{S}
\refJ Sch\"onhage,  A.;
Fehlerfortpflanzung bei Interpolation;
\NM; 3; 1961; 62--71;
% Runge phenomenon, Lebesgue constant $\lim_n (L_n)^{1/n} = 2$

%Schonhage71
\rhl{S}
\refB Sch\"onhage,  A.;
Approximationstheorie;
de Gruyter (Berlin); 1971;

%Schonhardt28
\rhl{S}
\refJ Sch\"onhardt,  E.;
\"Uber die Zerlegung von Dreickspolyedern in Tetraeder;
Math.\ Annal.; 98; 1928; 309--312;

%Schonherr93
% author 08apr04
\rhl{}
\refJ Schonherr, J.;
Smooth biarc curves;
\CAD; 25; 1993; 365--370;

%Schreiner97
% carl 20jun97
\rhl{S}
\refJ Schreiner, Michael;
Locally supported kernels for spherical spline interpolation;
\JAT; 89(2); 1997; 172--194;
% (RKHS) reproducing kernel Hilbert spaces on the sphere with a locally
% supported kernel.

%Schultz69a
% larry
\rhl{S}
\refP Schultz, M. H.;
Multivariate spline functions and elliptic problems;
\MadisonII; 279--347;

%Schultz69b
% sonya
\rhl{S}
\refJ Schultz,  M. H.;
Multivariate $L-$spline interpolation;
\JAT; 2; 1969; 127--135;

%Schultz69c
% carl
\rhl{S}
\refJ Schultz,  Martin H.;
$L^\infty$ multivariate approximation theory;
\SJNA; 6; 1969; 161--183;

%Schultz69d
% carl
\rhl{S}
\refJ Schultz,  Martin H.;
$L^2$ multivariate approximation theory;
\SJNA; 6; 1969; 184--209;

%Schultz69e
% larry
\rhl{S}
\refJ Schultz,  Martin H.;
$L\sp{2}$-approximation theory of even order multivariate splines;
\SJNA; 6; 1969; 467--475;

%Schultz69f
% larry
\rhl{S}
\refJ Schultz,  M. H.;
Approximation theory of multivariate spline functions in
Sobolev spaces;
\SJNA; 6; 1969; 570--582;

%Schultz70
% larry, carl
\rhl{S}
\refJ Schultz, Martin H.;
Elliptic spline functions and the Rayleigh-Ritz-Galerkin method;
\MC; 24(109); 1970; 65--80;
% variational method, spline space, two-point boundery value problem,
% spline interpolation.

%Schultz70a
% larry
\rhl{S}
\refJ Schultz, M. H.;
Elliptic spline functions and the Rayleigh-Ritz-Galerkin method;
\MC; 24; 1970; 65--80;

%Schultz70b
% carl
\rhl{S}
\refJ Schultz, Martin H.;
Error bounds for polynomial spline interpolation;
\MC; 24(111); 1970; 507--515;

%Schultz71
% larry
\rhl{S}
\refJ Schultz, M. H.;
$L^2$ error bounds for the Rayleigh-Ritz-Galerkin method;
\SJNA; 8; 1971; 737--748;

%Schultz72
\rhl{S}
\refJ Schultz,  Martin H.;
Discrete Tchebycheff approximation for multivariate splines;
J. Comput.\ System Sci.; 6; 1972; 298--304;

%Schultz73b
\rhl{S}
\refB Schultz,  M. H.;
Spline Analysis;
Prentice--Hall (Englewood Cliffs, NJ); 1973;

%Schultz73c
% sonya
\rhl{S}
\refJ Schultz,  M. H.;
Error bounds for a bivariate interpolation scheme;
\JAT; 8; 1973; 189--194;

%SchultzVarga67
% larry
\rhl{S}
\refJ Schultz, M. H., Varga, R. S.;
$L$-splines;
\NM; 10; 1967; 345--369;

%Schulze89
% larry
\rhl{S}
\refP Schulze,  G.;
Segmentation operators on Coons' patches;
\Oslo; 561--572;
% Guido Brunnett

%Schumaker68a
% larry
\rhl{S}
\refJ Schumaker,  L. L.;
Representation theorems for certain classes of generalized
polynomials induced by Tchebycheff systems and
applications to extremal problems;
\JAM; 21; 1968; 313--335;

%Schumaker68b
% larry
\rhl{S}
\refJ Schumaker,  L. L.;
Uniform approximation  by Tchebycheffian spline functions,
 II. Free knots;
\SJNA; 5; 1968; 647--656;

%Schumaker69a
% larry
\rhl{S}
\refJ Schumaker,  L. L.;
Uniform approximation by Tchebycheffian spline functions;
\JMM; 18; 1969; 369--377;

%Schumaker69a
% larry
\rhl{S}
\refP Schumaker,  L. L.;
Approximation by splines;
\MadisonI;  65--85;

%Schumaker69b
% larry
\rhl{S}
\refP Schumaker,  L. L.;
Some algorithms for the computation of interpolating
 and approximating spline functions;
\MadisonI;  87--102;

%Schumaker69d
% larry
\rhl{S}
\refJ Schumaker,  L. L.;
On the smoothness of best spline approximation;
\JAT; 2; 1969; 410--418;

%Schumaker70
% larry
\rhl{S}
\refQ Schumaker,  L. L.;
A constrained rational approximation problem in filter design;
(Proc.\ of the International Conference on Constructive Function Theory), 
xxx (eds.), Bulgarian Academy of Sciences (Sofia); 1970; 309--314;

%Schumaker73a
% larry
\rhl{S}
\refP Schumaker,  L. L.;
Constructive aspects of discrete polynomial spline functions;
\TexasI; 469--476;

%Schumaker76a
% larry
\rhl{S}
\refP Schumaker,  L. L.;
Toward a constructive theory of generalized spline functions;
\BoehmerII; 265--331;

%Schumaker76b
% larry
\rhl{S}
\refP Schumaker,  L. L.;
 Fitting surfaces to scattered data;
\TexasII; 203--268;

%Schumaker76c
% larry
\rhl{S}
\refP Schumaker,  L. L.;
Two-stage methods for fitting surfaces to scattered data;
\BonnI; 378--389;

%Schumaker76d
% larry
\rhl{S}
\refJ Schumaker,  L. L.;
Zeros of spline functions and applications;
\JAT; 18; 1976; 152--168;

%Schumaker76e
% larry
\rhl{S}
\refJ Schumaker,  L. L.;
On Tchebychevian spline functions;
\JAT; 18; 1976; 278--303;

%Schumaker78
% larry
\rhl{S}
\refR Schumaker,  L. L.;
Lower bounds for spline approximation;
Banach Center Publ.\ 4,
   Z. Ciesielski, (ed.), 1978; 213--223;

%Schumaker79a
% larry
\rhl{S}
\refP Schumaker,  L. L.;
On the dimension of spaces of piecewise polynomials in two variables;
\MvatI; 396--412;

%Schumaker79b
% larry
\rhl{S}
\refQ Schumaker,  L. L.;
$L_2$ approximation by splines with free knots;
(Approximation in Theorie und Praxis),
G. Meinardus (ed.), Bibliographisches Inst.\ (Mannheim);
1979; 157--182;

%Schumaker81a
% larry
\rhl{S}
\refB Schumaker,  L. L.;
Spline Functions: Basic Theory;
Wiley (New York); 1981;

%Schumaker82
\rhl{S}
\refQ Schumaker,  L. L.;
The use of spline functions for the polar representation of 3-dimensional 
objects; 
(Picture Processing), K. S. Fu \& T. L. Kunii
(eds.), Springer (New York); 1982; 96--106;

%Schumaker82a
% larry
\rhl{S}
\refQ Schumaker,  L. L.;
Computer-aided design of 3-D objects using
polar spline representations;
(Picture Engineering), K. S. Fu and T. L. Kunii
(eds.), Springer (New York); 1982; 96--105;

%Schumaker82b
% larry
\rhl{S}
\refJ Schumaker,  L. L.;
On recursions for generalized splines;
\JAT; 36; 1982; 16--31;

%Schumaker82c
% larry
\rhl{S}
\refQ Schumaker,  L. L.;
Optimal spline solutions of systems of ordinary differential equations;
(Differential Equations), Proc.\ Sao Paulo 1981), {} (ed.),
Lect.\ Notes 957, Springer-Verlag (Berlin); 1982; xxx;

%Schumaker83a
% larry
\rhl{S}
\refJ Schumaker,  L. L.;
On shape preserving quadratic spline interpolation;
\SJNA; 20; 1983;  854--864;

%Schumaker83b
% larry
\rhl{S}
\refJ Schumaker,  L. L.;
On hyperbolic splines;
\JAT; 38; 1983; 144--166;

%Schumaker84a
% larry
\rhl{S}
\refJ Schumaker,  L. L.;
Bounds on the dimension of spaces of multivariate piecewise polynomials;
\RMJM; 14; 1984; 251--264;

%Schumaker84b
% larry
\rhl{S}
\refP Schumaker,  L. L.;
On spaces of piecewise polynomials in two variables;
\Singh; 151--197;

%Schumaker84c
% larry
\rhl{S}
\refJ Schumaker,  L. L.;
Splines and computer-aided design;
Delft Progress Rpt.; 9; 1984; 292--304;

%Schumaker87a
% larry
\rhl{S}
\refP Schumaker,  L. L.;
Numerical aspects of piecewise polynomials on triangulations;
\ShrivenhamI; 373--406;

%Schumaker87b
% larry
\rhl{S}
\refP Schumaker,  L. L.;
Triangulation methods;
\Chile; 219--232;

%Schumaker88a
% larry
\rhl{S}
\refP Schumaker,  L. L.;
Constructive aspects of bivariate piecewise polynomials;
\BrunelVI; 513--520;

%Schumaker88b
% larry
\rhl{S}
\refJ Schumaker,  L. L.;
Dual bases for spline spaces on cells;
\CAGD; 5; 1988; 277--284;

%Schumaker89
% larry
\rhl{S}
\refJ Schumaker,  L. L.;
On super splines and finite elements;
\SJNA; 26; 1989; 997--1005;

%Schumaker90a
% carl
\rhl{S}
\refP Schumaker,  L. L.;
Reconstructing 3D objects fom cross-sections;
\Teneriffe; 275--309;

%Schumaker90b
% larry
\rhl{S}
\refR Schumaker,  L. L.;
Reconstruction of 3D objects using splines;
in {\sl Curves and Surfaces in Computer Vision and Graphics},
L. Ferrari and R. de Figueiredo (eds.), Vol.\ 1251, SPIE, Bellingham;
 1990; 130--140;

%Schumaker91
% peter carlrefs
\rhl{S}
\refP Schumaker,  L. L.;
Recent progress on multivariate splines;
\BrunelVII; 535--562;

%Schumaker93
% larry
\rhl{S}
\refJ Schumaker,  L. L.;
Computing optimal triangulations using simulated annealing;
\CAGD; 10; 1993; 329--345;

%Schumaker93b
% larry
\rhl{S}
\refJ Schumaker,  L. L.;
Computing optimal triangulations using simulated annealing;
\CAGD; 10; 1993; 329--345;

%Schumaker93c
% larry
\rhl{S}
\refJ Schumaker, L. L.;
Triangulation methods in CAGD;
\ICGA; 13; 1993; 47--52;

%Schumaker94
\rhl{}
% larry
\refQ Schumaker, L. L.;
Applications of multivariate splines;
(Proceedings of Symposia in Applied Mathematics),  W. Gautschi (ed.),  
Vol. 48, AMS (Providence);  1994; 177--203;

%SchumakerSorokina04
% LLS Lai-Schumaker book
\rhl{SchS04}
\refJ Schumaker, L. L., Sorokina, T.;
$C^1$ quintic splines on type-4 tetrahedral partitions;
\AiCM;  21; 2004; 421--444;

%SchumakerSorokina05
% lls Lai-Schumaker book
\rhl{SchS05}
\refJ Schumaker, L. L., Sorokina, T.;
A trivariate box macro-element;
\CA; 21; 2005; 413--431;

%SchumakerSorokina06
% larry Lai-Schumaker book
\rhl{SchS06}
\refJ Schumaker, L. L., Sorokina, T.;
A family of $C^r$ macro-elements on Powell--Sabin-12 splits;
\MC; 75; 2006; 711--726;

%SchumakerStanley96
\rhl{}
% larry
\refJ Schumaker, Larry L., Stanley, Sonya;
Shape preserving knot removal;
\CAGD; 13; 1996; 851--872;

%SchumakerTaylor68
% larry
\rhl{S}
\refJ Schumaker,  L. L., Taylor, G. D.;
On approximation by polynomials having restricted ranges;
\SJNA; 6; 1969; 31--36;

%SchumakerTaylor69
% author 29apr97
\rhl{S}
\refJ Schumaker,  L. L., Taylor, G. D.;
On best approximation by interpolating polynomials;
\SJNA; 6; 1969; 284--293;

%SchumakerTraas91
% carl
\rhl{S}
\refJ Schumaker,  L. L., Traas, C.;
Fitting scattered data on spherelike surfaces using tensor products
of trigonometric and polynomial splines;
\NM; 60; 1991; 133--144;

%SchumakerUtreras88
% larry
\rhl{S}
\refJ Schumaker,  L. L., Utreras, F.;
Asymptotic properties of complete smoothing splines and applications;
\SJSSC; 9; 1988; 24--38;

%SchumakerUtreras90
% larry
\rhl{S}
\refJ Schumaker,  L. L., Utreras, F.;
On generalized cross-validation for tensor smoothing splines;
\SJSSC; 11; 1990; 713--731;

%SchumakerVolk86
% larry
\rhl{S}
\refJ Schumaker,  L. L., Volk, W.;
Efficient evaluation of multivariate polynomials;
\CAGD; 3; 1986; 149--154;

%Schurer68
% sonya
\rhl{S}
\refJ Schurer,  F.;
A note on interpolating periodic quintic splines with equally spaced nodes;
\JAT; 1; 1968; 493--500;

%Schurer70a
% larry
\rhl{S}
\refP Schurer, F.;
An application of natural cubic spline functions to numerical
integration formulae; 
\VarnaI;  315--325;

%Schurer70b
\rhl{S}
\refP Schurer,  F.;
A note on interpolating periodic quintic spline functions;
\Talbot; 71--81;

%SchurerCheney68
% larry
\rhl{S}
\refJ Schurer,  F., Cheney, E. W.;
On interpolating cubic splines with equally spaced nodes;
Indag.\ Math.; 30; 1968;  517--524;

%Schut74
\rhl{S}
\refJ Schut,  G. H.;
Two interpolation methods;
Photogramm.\ Engr.; 40; 1974; 1447--1453;

%SchwaneckeJuttler00
% larry 20apr00
\rhl{}
\refP Schwanecke, U., J\"uttler, B.;
A B--spline approach to Hermite subdivision;
\Stmalof; 385--392;

%SchwartzAJ87a
% .
\rhl{S}
\refP Schwartz,  A. J.;
Subdividing B\'ezier curves and surfaces;
\Troy; 55--66;

%SchwartzL64a
% vladimir 19nov95
\rhl{S}
\refJ Schwartz, L.;
Sous-espaces hilbertiens d'espaces vectoriels topologiques et noyaux
	associ\'es. (Noyaux reproduisants); 
\JAM ; 13; 1964; 115--256;
% reproducing kernel Hilbert space, variational approach

%Schwarz81a
% carlrefs
\rhl{}
\refJ Schwarz, H. A.;
D\'emonstration \'el\'ementaire d'une propri\'et\'e fondamentale des fonctions
   interpolaires;
Atti della R. Accademia delle Scienze di Torino; XVII; 1881-2; 740--742;
% H. A. Schwarz, Gesammelte Mathem.\ Abhandlungen, vol II, 307--308, Springer
% 1890
% \dvd(t_0,\ldots,t_n)f = D^n f(\xi)/n!

%Schweikert66
% larry
\rhl{S}
\refJ Schweikert,  D. G.;
An interpolation curve using a spline in tension;
\JMP; 45; 1966;  312--317;

%Schweikert66b
\rhl{S}
\refD Schweikert,  D. G.;
The spline in tension (hyperbolic spline) and the
 reduction of extraneous inflection points;
Brown Univ.; 1966;

%SchweitzerCobb82
\rhl{S}
\refJ Schweitzer,  Dino, Cobb, Elizabeth S.;
Scanline rendering of parametric surfaces;
Computer Graphics; 16; 1982; 265--271;

%Schwerdtfeger60
\rhl{S}
\refJ Schwerdtfeger,  H.;
Notes on numerical analysis II.   Interpolation and
 curve fitting by sectionally linear functions;
\CMB; 3; 1960; 41--57;

%Schwerdtfeger61
\rhl{S}
\refJ Schwerdtfeger,  H.;
Notes on numerical analysis III.  Further remarks on
  sectionally linear functions;
\CMB; 4; 1961; 53--55;

%SchwetlickKunert91
% carlrefs
\rhl{S}
\refR Schwetlick,  H., Kunert, V.;
Spline smoothing under constraints on derivatives;
Martin-Luther-Univ.\ Halle, Germany; 1991;

%Scott84
% sonya
\rhl{S}
\refJ Scott,  D. S.;
The complexity of interpolating given data in three space with a convex
function of two variables;
\JAT; 42; 1984; 52--63;

%ScottLBScott84
% carlrefs 20nov03
\rhl{}
\refR Scott, Larkin B., Scott, L. Ridgway;
Efficient methods for data smoothing;
ms, 14dec; 1984;

%ScottZhangS90
% . 16mar01
\rhl{}
\refJ Scott, L. R., Zhang, S.;
Finite element interpolation of nonsmooth functions satisfying boundary
   conditions;
\MC; 54; 1990; 483--493;

%Seaman83
\rhl{S}
\refJ Seaman,  R. S.;
Objective analysis accuracies of statistical
interpolation and successive correction schemes;
Austral.\ Meteor.\ Mag.; 31; 1983; 225--240;

%SeamanHutchinson85
\rhl{S}
\refJ Seaman,  R. S., Hutchinson, M. F.;
Comparative real data tests
of some objective analysis methods by withholding observations;
Austral.\ Met.\ Mag.; 33; 1985; 37--46;

%Seatzu75
\rhl{S}
\refJ Seatzu,  S.;
Un metodo per la construzione di smoothing splines
  naturali mono e bidimensionali;
Calcolo; 12; 1975;  253--265;

%Seatzu77
\rhl{S}
\refJ Seatzu,  S.;
Sulle construzioni di basi a supporto minimo
  per splines generazatte con nodi multipli;
Cacolo; 14; 1977;  385--398;

%Seatzu81
\rhl{S}
\refJ Seatzu,  S.;
On the uniform approximation by natural quintic
  interpolating splines having double nodes;
Rend.\ Sem.\  Mat.\  Univ.\  Politec.\  Torino; 39; 1981; 129--137;

%Secrest64
% larry
\rhl{S}
\refJ Secrest,  D.;
Numerical integration of arbitrarily spaced data
  and estimation of errors;
\SJNA; 2; 1964;  52--68;

%Secrest65b
% carl
\rhl{S}
\refJ Secrest, Don;
Best approximate integration formulas and best
	 error bounds;
\MC; 19(89); 1965; 79--83;

%Secrest65c
% larry
\rhl{S}
\refJ Secrest,  D.;
Error bounds for interpolation and differentation by
  the use of spline functions;
\SJNA; 2; 1965;  440--447;

%Sederberg83a
\rhl{S}
\refD Sederberg,  T. W.;
Implicit and parametric curves and
surfaces for computer aided geometric design;
Purdue University; 1983;

%Sederberg85
% greg
\rhl{S}
\refJ Sederberg,  T. W.;
Piecewise algebraic surface patches;
\CAGD; 2; 1985; 53--59;

%Sederberg87
\rhl{S}
\refP Sederberg,  T. W.;
Algebraic geometry for surface and solid modelling;
\Troy; 29--42;

%SederbergAndersonGoldman84a
\rhl{S}
\refJ Sederberg,  T. W., Anderson, D. C., Goldman, R. N.;
Implicit representation of parametric curves and surfaces;
\CVGIP; 28; 1984; 72--84;

%SederbergChang90
\rhl{S}
\refR Sederberg,  T. W., Chang, G.-Z.;
Isolator polynomials;
Brigham Young Univ., Report ECGL90-4; 1990;

%SederbergFarouki99a
\rhl{S}
\refR Sederberg,  T. W., Farouki, R. T.;
Approximation by interval B\'ezier curves;
preprint; xxx;

%SederbergKakimoto91a
\rhl{S}
\refP Sederberg,  T. W., Kakimoto, M.;
Approximating rational curves with polynomial curves;
\Farinnion; 149--158;

%SederbergMeyers88a
% greg
\rhl{S}
\refJ Sederberg,  T. W., Meyers, R. J.;
Loop detection in surface      patch intersections;
 \CAGD; 5; 1988; 161--171;

%SederbergNishita90a
% carl
\rhl{S}
\refJ Sederberg, T. W., Nishita, T.;
Curve intersection using B\'ezier clipping;
\CAD; 22(9); 1990; 538--549;
% tangency, focus, polynomial, collinear, normal algorithm.

%SederbergParry86a
% sherm, pagination update, carl
\rhl{S}
\refJ Sederberg, Thomas W., Parry, Scott R.;
Comparison of three curve intersection algorithms;
\CAD; 18(1); 1986; 58--63;
% geometry, rational curves, curve intersection.

%SederbergParry86b
\rhl{S}
\refJ Sederberg,  T. W., Parry, S. R.;
Free-form deformation of solid models;
SIGGRAPH'86;  20; ACM, 1986; 151--160;

%SederbergSnively87a
\rhl{S}
\refP Sederberg,  T. W., Snively, J. P.;
Parametrization of cubic algebraic surfaces;
\SurfacesII; 299--319;

%SederbergWangX87
% greg
\rhl{S}
\refJ Sederberg,  T. W., Wang, X.;
Rational hodographs;
\CAGD;  4; 1987; 333--335;

%Seemann94
% larry
\rhl{S}
\refP Seemann, G.;
Approximation with helix splines;
\ChamonixIIa; 435--442;

%Seemann95a
% carl 14sep95
\rhl{S}
\refD Seemann, Gerald;
Kreissplines und Schraubenliniensplines:
Interpolation und Approximation durch Raumkurven mit konstanten Invarianten;
Mathematik, TH Darmstadt (Germany); 1995;
% space curves, arcs, screws

%Segethova72
% carl
\rhl{S}
\refJ Segethov\'a, Jitka;
Numerical construction of the Hill functions;
\SJNA; 9; 1972; 199--204;

%Seidel87a
\rhl{S}
\refQ Seidel,  H.-P.;
B\'eziers and B-splines as multiaffine maps;
(Theoretical Foundations of Computer Graphics and CAD), xxx (ed.),
Springer-Verlag (); 1987; 757--776;

%Seidel88a
% greg
\rhl{S}
\refJ Seidel,  H.-P.;
Knot insertion from a blossoming point of view;
\CAGD; 5; 1988; 81--86;

%Seidel89a
% greg
\rhl{S}
\refJ Seidel,  H.-P.;
A new multi-affine approach to B-splines;
\CAGD; 6; 1989; 23--32;

%Seidel89b
% larry Lai-Schumaker book
\rhl{Sei89}
\refP Seidel, H. P.;
A general subdivision theorem for B\'ezier triangles;
\Oslo; 573--581;

%Seidel91
% carl
\rhl{S}
\refJ Seidel,  H.-P.;
Symmetric recursive algorithms for surfaces: B-patches and the de Boor
algorithm for polynomials over triangles;
\CA; 7; 1991; 257--279;

%Seidel91a
% larry
\rhl{S}
\refP Seidel,  H. P.;
Universal splines and geometric continuity;
\Chamonix; 437--444;

%Seidel92
\rhl{S}
\refR Seidel,  H.-P.;
Representing piecewise polynomials as linear combinations of multivariate
B-splines;
ms.; 1991;

%Seidel93a
% carl
\rhl{S}
\refJ Seidel, Hans-Peter;
An introduction to polar forms;
\ICGA; 13(1); 1993; 38--46;

%Seidel93b
\rhl{S}
\refJ Seidel, H.-P.;
Polar forms for geometrically continuous splines of arbitrary degree;
\ACMTG; 12; 1993; 1--34;

%Seidel97
% larry 10sep99
\rhl{S}
\rhl{S}
\refP Seidel, H.-P.;
Functional data fitting and fairing with triangular B-splines;
\ChamonixIIIb; 319--328;

%Seidel99a
\rhl{S}
\refR Seidel,  H.-P.;
Geometric constructions and knot insertion for
geometrically continuous spline
curves of arbitrary degree;
Research Rep.\ CS, 90-24, CGL, University of
Waterloo, {Trans.\ on Graphics}; to appear;

%SeidelVermeulen94
% larry
\rhl{S}
\refP Seidel, H.-P., Vermeulen, A. H.;
Simplex splines support surprisingly strong symmetric structures
and subdivision;
\ChamonixIIa; 443--455;

%SeidmanKorsan72
% larry, carl
\rhl{S}
\refJ Seidman, Thomas I., Korsan, Robert J.;
Endpoint formulas for interpolatory cubic splines;
\MC; 26(120); 1972; 897--900;

%Seitelman77
\rhl{S}
\refR Seitelman,  L. H.;
 A new user-transparent end condition for cubic spline data fitting;
xx; 1977;

%Seitelman79
% sherm, editor update
\rhl{S}
\refQ Seitelman,  L. H.;
Natural cubic splines are unnatural;
(Information Linkage Between Applied Math.\ and Industry), 
P. C. C. Wang, A. L. Schoenstadt, B. I. Russak, and C. Comstock (eds.), 
Academic Press (New York); 1979; 473--481;

%Seitelman82
\rhl{S}
\refR Seitelman, L. H.;
New user-transparent edge conditions for bicubic spline surface fitting;
Pratt \& Whitney Aircraft, East Hartford, Connecticut; 1982;

%Selig95a
% . 5dec96
\rhl{S}
\refP Selig, K.;
Trigonometric wavelets for time-frequency analysis;
\SinghIII; 453--464;

%SemenkovVasiljev82
% larry
\rhl{S}
\refJ Semenkov,  O. I., Vasiljev, V. P.;
An application of the B-spline technique for sculptured
suface modelling;
Computers in Industry; 3; 1982; 31--35;

%Semerdzhiev99
\rhl{S}
\refR Semerdzhiev,  K.;
Generalized interpolating polynomials in Newtonian form;
Univ.\ of Plovdiv, Bulgaria; xxx;

%SempleKneeBone79
% carl 02feb01
\rhl{}
\refB Semple, J. G., Knee Bone, G. T.;
Algebraic Projective Geometry;
Oxford University Press, Oxford (England); 1979;

%Sendov76
\rhl{S}
\refR Sendov, Bl.;
Best Hausdorff approximation with spline functions;
Colloquia Mathematica Societatis J\'anos Bolyai, Fourier Analysis and
Approximation Theory, Budapest, 725--734; 1976;

%Sendov77
% larry
\rhl{S}
\refJ Sendov, Bl.;
Exact Estimation for the best Hausdorff spline approximation;
\CRASP; 30; 1977; 187--190;

%Sendov89a
\rhl{S}
\refJ Sendov, B.;
% larry
Two-dimensional approximation splines;
\CRABS; 42; 1989; 29--32;

%Sendov89b
% larry
\rhl{S}
\refJ Sendov,  B.;
Approximation splines;
Mathematica Balkanica; 3; 1989; 106--121;

%Sendov96
% carl 6aug96
\rhl{S}
\refJ Sendov, Bl.;
Mathematical modeling of real-world images;
\CA; 12(1); 1996; 31--65;

%SendovPopov70
% larry
\rhl{S}
\refJ Sendov,  B., Popov, V. A.;
Approximation of curves by piecewise polynomial curves;
C.  R. Acad.\  Bulg.\  Sci.; 23; 1970; 639--642;

%SeroussiBarsky91a
\rhl{S}
\refR Seroussi,  G., Barsky, B. A.;
A symbolic derivation of
Beta-splines of arbitrary order;
Technical Report
UCB/CSD 91/633, Computer Science Division, Electrical Engineering and
Computer Sciences Department, University of California, Berkeley; 1991;

%SestiniMorandi97
% larry 10sep99
\rhl{SM}
\refP Sestini, A., Morandi, R.;
A parameterization technique for the control point form method;
\ChamonixIIIa; 403--410;

%Sevy95a
% carl
\rhl{S}
\refJ Sevy, J. C.;
Lagrange and least-squares polynomials as limits of linear combinations of
   iterates of Bernstein and Durrmeyer polynomials;
\JAT; 80(2); 1995; 267--271;
% look at iterates  id - (id -P_m)^M  for polynomial operators P_m .
% if  P_mf  is Bernstein's (Durrmeier's) polynomial of degree  m ,  then the
% limit is the Lagrange polynomial (the least-squares) polynomial.

%Sewell73
\rhl{S}
\refD Sewell,  E. G.;
Automatic generation of triangulations for piecewise polynomial
approximation;
Purdue Univ.; 1973;

%Sha79
\rhl{S}
\refJ Sha,  Z.;
A theorem on lacunary interpolation by splines;
Acta Mat.\  Sinica; 2; 1979;  1--5;

%Sha80
\rhl{S}
\refJ Sha,  Z.;
The averaging approximation of functions with
  discontinuous derivatives by splines;
J.  Chinese Univ.; 2; 1980;  87--91;

%Sha83
\rhl{S}
\refJ Sha,  Z.;
On the degree of approximation with P-type and
  Q-type interpolation splines;
Math.\  Numer.\  Sinica; 5; 1983;  129--135;

%Sha85a
\rhl{S}
\refJ Sha,  Zhen;
On interpolation by $S_3^1(\Delta_{m,n}^1)$;
\JATA; 1; 1985; 1--18;

%Sha85b
\rhl{S}
\refJ Sha,  Zhen;
On interpolation by $S_2^1(\Delta_{m,n}^2)$;
\JATA; 1; 1985; 71--82;

%ShaChang81
\rhl{S}
\refJ Sha,  Z., Chang, W. Z.;
On interpolation by splines in tension;
Zhejiang Daxue Xuebao; 2; 1981;  65--74;

%ShaWangZY81
\rhl{S}
\refJ Sha,  Z., Wang, Z. Y.;
On seventh degree lacunary interpolation splines;
Zhejiang Daxue Xuebao; 1; 1981;  56--61;

%Shadrin01a
% carl 16aug02
\rhl{}
\refJ Shadrin, A. Yu.;
The $L_\infty$-norm of the $L_2$-spline projector is bounded independently of
   the knot sequence: A proof of the de Boor conjecture;
Acta Math.; 187; 2001; 59--137;

%Shadrin83
% aleksei
\rhl{S}
\refJ Shadrin,  A. Yu.;
Monotone approximation of functions by trigonometric polynomials;
\MN; 34; 1983; 669--675;
% = Matem. zametki: 34: 1983: 375--386:

%Shadrin86
% aleksei
\rhl{S}
\refJ Shadrin,  A. Yu.;
Orders of one-side approximation of functions in $L_p$-metric;
Anal.\ Math.; 12; 1986; 175--184;

%Shadrin87
% aleksei
\rhl{S}
\refJ Shadrin,  A. Yu.;
Jackson's type theorems for monotone approximation of functions
   by trigonometric polynomials;
\MN; 42; 1987; 933--944;
% = Matem. zametki: 42: 1987: 790--809:

%Shadrin88a
% aleksei
\rhl{S}
\refJ Shadrin,  A. Yu.;
Precise estimates for uniform approximations of classes $W^2_2$
   by interpolating cubic splines;
Soviet Journal of Numerical Analysis and Mathematical Modelling;
3; 1988; 325--335;

%Shadrin88b
% aleksei
\rhl{S}
\refQ Shadrin,  A. Yu.;
On the error estimates for approximation of functions by
   smoothing splines (Russian);
(Variational Difference Methods in the Problems of Numerical
Analysis), V. V. Smelov (ed.), Computing Center ( Novosibirsk);
 1988; 147--162;

%Shadrin90a
% carl 5dec96
\rhl{S}
\refJ Shadrin,  A. Yu.;
On the approximation of functions by interpolating splines defined on
   nonuniform nets;
\MS; 181 (9); 1990; 1236--1255;
% = \MUSSRS: 71: 1992: 81--99:

%Shadrin90b
% aleksei
\rhl{S}
\refJ Shadrin,  A. Yu.;
On the rate of convergence of interpolating splines defined on non-uniform 
   meshes;
Soviet Math.\ Dokl.; 40; 1990; 266--268;
% = Doklady AN SSSR: 307: 1989: 1331--1334:

%Shadrin90c
% aleksei
\rhl{S}
\refJ Shadrin,  A. Yu.;
Inequalities of Kolmogorov type and estimates of spline
   interpolation on periodic classes $W^m_2$;
\MN; 48; 1990; 1058--1063;
% = Matem. zametki: 48: 1990: 132--139:

%Shadrin92a
% carl, aleksei
\rhl{S}
\refJ Shadrin,  A. Yu.;
Interpolation with Lagrange polynomials, a simple proof of Markov
   inequality and some of its generalizations;
\JATA; 8(4); 1992; 51--61;

%Shadrin92c
% aleksei 5dec96
\rhl{S}
\refJ Shadrin,  A. Yu.;
On the approximation of functions by interpolating splines
   defined on non-uniform meshes;
\MUSSRS; 71; 1992; 81--99;
% = \MS: 181 (9): 1990: 1236--1255;

%Shadrin93a
% aleksei
\rhl{S}
\refJ Shadrin,  A. Yu.;
On sharp constants in inequalities between $L_\infty$-norms of
   derivatives on a finite interval;
Russian Acad.\ Sci.\ Dokl.\ Math.; 46; 1993; 231--235;
% = Doklady AN: 326: 1992: 50--53:

%Shadrin93b
% aleksei
\rhl{S}
\refJ Shadrin,  A. Yu.;
Convergence of quintic splines in terms of a local mesh ratio;
Bulletin of the Novosibirsk Computing Center,
ser.\ Numerical Analysis; 1; 1993; 87--95;

%Shadrin93c
% aleksei
\rhl{S}
\refJ Shadrin,  A. Yu.;
Interpolation by Lagrange polynomials, sharp constants in
   inequalities between the norms of derivatives on a finite interval;
\MN; 54; 1993; xxx--xxx;
% = Matem. zametki: 54: 1993: 129--143:

%Shadrin94a
% aleksei
\rhl{S}
\refJ Shadrin,  A. Yu.;
Interpolation by Lagrange polynomials, B-splines and bounds of
   the error;
Anal.\ Math.; 20; 1994; 213--224;

%Shadrin94b
% carl
\rhl{S}
\refJ Shadrin, Aleksei;
On $L_p$-boundedness of the $L_2$-projector onto splines;
\JAT; 77(3); 1994; 331--348;

%Shadrin94c
% carl
\rhl{S}
\refQ Shadrin, A. Yu.;
To the Landau-Kolmogorov problem on a finite interval;
(Open Problems in Approximation Theory), B. Bojanov (ed.),
xxx (Singapore); 1994; 192--204;
% survey of state of problem in 1993

%Shadrin94d
% aleksei
\rhl{S}
\refJ Shadrin,  A. Yu.;
Letter to the Editors concerned with the paper by A. I. Zviagintsev
   `An extremal problem for the norm of the intermediate derivative';
\MN; 55; 1994; xxx--xxx;
% = Matem.\ zametki: 55: 1994: 154--156:

%Shadrin95a
% aleksei
\rhl{S}
\refJ Shadrin,  A. Yu.;
Error bounds for Lagrange interpolation;
\JAT; 80; 1995; 25--49;

%Shah70
% larry
\rhl{S}
\refJ Shah,  J. M.;
Two dimensional polynomial splines;
\NM; 15; 1970; 1--14;

%Shaidaeva59
%
\rhl{S}
\refR Shaidaeva, T. A.;
The title and paper are in Russian;
Akademia Nauk SSSR, Math.\ Inst.\ Trudy.\ Moscow, 53; 1959;

%ShapiroH71
% carl
\rhl{S}
\refB Shapiro, H. S.;
Topics in Approximation Theory;
Springer Lecture Notes 187 (New York); 1971;
% QA221 +S47

%ShapiroVTsukanov99
% author 02feb01
\rhl{}
\refJ Shapiro, V., Tsukanov, I.;
Meshfree simulation of deforming domains;
\CAD; 31(7); 1999; 459--471;
% R-functions B-splines, BVP

%ShapiroVossler91a
% carl
\rhl{S}
\refJ Shapiro, Vadim, Vossler, Donald L.;
Construction and optimization of CSG representations;
\CAD; 23(1); 1991; 4--20;
% solid modelling, boundary representation, Boolean operations.

%ShariffMoser98
% Olivier Botella 02feb01
\rhl{}
\refJ Shariff, K.,  Moser, R. D.;
Two-dimensional mesh embedding for {B}-spline Methods;
\JCP; 145; 1998; 471--488;

%Sharma69
% MR 08apr04
\rhl{S}
\refQ Sharma, A.;
Some poised problems of interpolation;
(Proceedings of the Conference on the Constructive Theory of Functions
(Approximation Theory) held 24aug-3sep69), G. Alexits and S. B. Stechkin (eds.), Akad\'emiai Kiad\'o (Budapest);
(1972); 435--441;

%Sharma72
% larry
\rhl{S}
\refJ Sharma, A.;
Some poised and nonpoised problems of interpolation;
\SR; 14; 1972; 129--151;

%SharmaMeir66
% carl
\rhl{S}
\refJ Sharma,  A., Meir, A.;
Degree of approximation of spline interpolation;
\JMM; 15(5); 1966; 759--767;

%SharmaMeir68
% MR 08apr04
\rhl{S}
\refJ Sharma,  A., Meir, A.;
Convergence of a class of interpolatory splines;
\JAT; 1; 1968; 243--250;
% see also SharmaMeir69

%SharmaMeir69
\rhl{S}
\refQ Sharma,  A., Meir, A.;
Convergence of a class of interpolatory splines;
(Abstract Spaces and Approximation),  xxx (ed.),
Birkh\"auser Verlag (Basel); 1969;  373--374;

%SharmaPrasad68
% larry
\rhl{S}
\refJ Sharma, A., Prasad, J.;
On Abel-Hermite-Birkhoff interpolation;
\SJNA; 5; 1968; 864--881;

%SharmaTzimbalario75
\rhl{S}
\refR Sharma, A., Tzimbalario, J.;
Landau-type inequalities for some linear differential operators;
443--455; 1975;

%SharmaTzimbalario76
% larry
\rhl{S}
\refJ Sharma, A., Tzimbalario, J.;
A class of cardinal trigonometric splines;
\SJMA; 7; 1976; 809--819;

%SharmaTzimbalario76b
% larry
\rhl{S}
\refP Sharma, A., Tzimbalario, J.;
A generalization of a result of Subbotin;
\TexasII; 557--562;

%SharmaTzimbalario76c
% larry
\rhl{S}
\refJ Sharma, A., Tzimbalario, J.;
Cardinal $t$-perfect $L$-splines;
\SJNA; 13; 1976; 915--922;

%SharmaTzimbalario76d
% MR 08apr04
\rhl{}
\refJ Sharma, A., Tzimbalario, J.;
Cardinal interpolation and generalized exponential Euler splines;
\CJM; 28(2); 1976; 291--300;
% MR53:8721%(1977), MRC Tech.\ Report 1530, Mar.\ 1975

%SharmaTzimbalario76e
% MR 08apr04
\rhl{}
\refP Sharma, A., Tzimbalario, J.;
A generalization of monosplines and perfect splines;
\Law; 257--267;
% MR54:10943%(1977) , MRC Tech.\ Report 1529, Mar.\ 1975

%SharmaTzimbalario77
% sonya
\rhl{S}
\refJ Sharma,  A., Tzimbalario, J.;
Quadratic splines;
\JAT; 19; 1977;  186--193;

%Sharp82
\rhl{S}
\refJ Sharp,  W. E.;
Estimation of semivariograms by the maximum entropy method;
Math.\ Geology; 14; 1982; 457--474;

%Sharp82b
\rhl{S}
\refJ Sharp,  W. E.;
Stochastic simulation of semivariograms;
Math.\ Geology; 14; 1982; 445--456;

%SharpleyBennett88
\rhl{S}
\refB Sharpley,  R., Bennett, C.;
Interpolation of Operators;
Pure and Applied Mathematics Vol.129, Academic Press (xxx); 1988;

%Sharrock85a
% .
\refD Sharrock, T. J.;
Surface Design with Cyclide Patches;
University of Cambridge, Engineering Department; 1985;
%biarc

%Sharrock87
% . 08apr04
\rhl{}
\refP Sharrock, T. J.;
Biarcs in three dimensions;
\SurfacesII; 395--411;

%ShawLynn72
\rhl{S}
\refJ Shaw,  E. M., Lynn, P. P.;
Areal rainfall evaluation using two surface fitting techniques;
Bull.\  Internat.\ Assoc.\ Hydro.\ Sci.; 27; 1972; 419--433;

%Sheffer35a
% Curry51
\rhl{}
\refJ Sheffer, Isadore M.;
Concerning some methods of best approximation and a theorem of Birkhoff;
Amer.\ J. Math.; 57; 1935; 587--614;
% related to Curry51

%Shekhtman01
% carl 21jan02
\rhl{}
\refJ Shekhtman, B.;
On the divergence of polynomial interpolation in the complex plane;
\CA; 17(3); 2001; 455--464;

%Shekhtman02
% carl 21nov08
\rhl{S}
\refP Shekhtman, Boris;
Interpolation by polynomials in several variables;
\TexasXw; 367--372;
% Almost all subspaces of \Pi_{\le k}(\FF^d) of dimension (d+1)k are 
% k-interpolating, i.e., their restriction to any k-set is onto. See also
%  %CohenFRHandel78, %VasilievVA92

%Shekhtman06
% carl 03apr06
\rhl{}
\refJ Shekhtman, Boris;
On a conjecture of Carl de Boor regarding the limits of Lagrange
   interpolants;
\CA; 24(3); 2006; 365--370;

%Shekhtman07
% carl 05mar08 18mar08
\rhl{S}
\refQ Shekhtman, B.;
On perturbations of ideal complements;
(Banach Spaces and their Applications in Analysis), B. Randrianantonina and N. 
Randrianantonina (eds.), De Gruyter (Berlin-New York); 2007; 413--422;

%Shekhtman0x
% author 05mar08
\rhl{S0x}
\refJ Shekhtman, Boris;
Bivariate ideal projectors and their perturbations;
\AiCM; xx; 200x; xxx--xxx;
% DOI: 10.1007/s10444-007-9040-9

%Shekhtman89a
% . 26oct95
\rhl{S}
\refJ Shekhtman, B.;
On the norms of interpolating operators;
\IJM; 64(1); 1989; 39--48;

%Shekhtman95
% . 24mar99
\rhl{S}
\refP Shekhtman, B.;
Interpolating spaces in $\RR^n$;
\SinghIII; 465--471;
% cf Vasilev92

%Shelevitskiy92
% author 26aug98
\rhl{S}
\refD Shelevitskiy, I. V.;
Development and research of methods and algorithms of processing of the
   measuring information in radioelectronic control systems of air traffic;
KIICA, Kyiv; 1992;
% Application of splines practical real-time data processing (including 
% least squares splines with free knots, use of sliding window, statistical
% parameter identification).

%Shen90
% carl, sherm
\rhl{S}
\refJ Shen,  Zuowei;
Birkhoff interpolation by chebyshevian splines;
\JATA; 6; 1990; 59--77;

%Shen91
% carl, sherm
\rhl{S}
\refJ Shen,  Zuowei;
Dimension of certain kernel spaces of linear operators;
\PAMS; 112;  1991; 381--390;

%Shen95a
% carl 14sep95
\rhl{S}
\refJ Shen, Zuowei;
Nontensor product wavelet packets in $L_2(\RR^s)$;
\SJMA; 26(4); 1995; 1061--1074;

%Shen9x
% shen 07may96
\rhl{S}
\refR Shen, Zuowei;
Refinable function vectors; 
November; 1995;
% submitted

%ShenHo87
\rhl{S}
\refR Shen, C. N., Ho, R.;
Curve smoothing by B-splines over measurements for random spaced node
points;
Rensselaer Polytechnic Institute; 1987;

%ShenJiaRiemenschneider94
% shen 07may96
\rhl{S}
\refJ Jia, Rong-Qing,  Riemenschneider, S., Shen, Zuowei;
Solvability of systems of linear operator equations;
\PAMS; 120; 1994; 815--824;

%ShenXu95
% shen 07may96
\rhl{S}
\refJ Shen, Zuowei, Xu, Yusheng;
Degenerate kernel schemes by wavelets for
   nonlinear integral equation on real line;  
\ApA; 59; 1995; 163--184;

%ShengXHirsch92
% . 06jun04
\rhl{SH}
\refJ Sheng, X., Hirsch, B. E.;
Triangulation of trimmed surfaces in parametric spaces;
\CAD; 24(8); 1992; 437--444;

%Shepard68
\rhl{S}
\refQ Shepard,  D.;
A two dimensional interpolation function for irregularly spaced data;
(Proc.\ 23rd Nat.\ Conf ACM), xxx (ed.), xxx (xxx); 1968;  517--524;
% 523?

%Shepard74
% carl
\rhl{S}
\refJ Shepard,  G. C.;
Combinatorial properties of associated zonotopes;
\CJM; XXVI; 1974; 302--321;

%ShettyWhite91
% .
\rhl{}
\refJ Shetty, S., White, P. R.;
Curvature-continuous extensions of rational B-spline curves and surfaces;
\CAD; 23(7); 1991; 481--91;

%Shevchuk92a
% carl
\rhl{S}
\refB Shevchuk,  Igor A.;
Approximation by polynomials and traces of functions continuous on a segment
(Russian);
Akademiia Nauk Ukrainy (Kiev); 1992;
% the relationship between smoothness properties and divided differences
% of a function, explored in the context of Whitney's Extension Theorem.

%Shewchuk02
% larry Lai-Schumaker book
\rhl{She02}
\refJ Shewchuk, J. R.;
Delaunay refinement algorithms for triangular mesh generation;
\CG; 22; 2002; 21--74;

%Shi83
\rhl{S}
\refJ Shi,  Z. C.;
A note on nonsingularity of the interpolating
  periodic splines;
Math.\  Numer.\  Sinica; 5; 1983; 195--203;

%Shi84
% . 20jun97
\rhl{S}
\refJ Shi,  Z. C.;
The generalized patch test for Zienkiewicz's triangles;
\JCM; 2; 1984; 279--286;
% nonconforming, FEM, multivariate, polynomial interpolation

%Shi86
% .
\rhl{S}
\refJ Shi,  Z. C.;
A unified formation of shape functions for two kinds of nonconforming plate
bending elements;
Numer.\ Math.\ Sinica; 8; 1986; 428--434;
% nonconforming, FEM, multivariate, polynomial interpolation

%Shi87
% ., carl
\rhl{S}
\refJ Shi, Zhong-Ci;
The F-E-M-Test for convergence of nonconforming finite elements;
\MC; 49(180); 1987; 391--405;
% nonconforming, FEM, multivariate, polynomial interpolation.

%Shi94
% carl
\rhl{S}
\refJ Shi, Ying Guang;
A theorem of Gr\"unwald-type for Hermite-Fej\'er interpolation of higher order;
\CA; 10(4); 1994; 439--450;

%Shi99a
\rhl{S}
\refR Shi,  X.-Q.;
The dimensions of spline spaces and its singularity;
Jilin Univ.; xxx;

%Shi99b
\rhl{S}
\refR Shi,  X.-Q.;
The dimensions of $S^\mu_k(\Delta_3)$ on a $O$-incident region in $\RR^3$;
Jilin Univ.; xxx;

%ShiChen90
% .
\rhl{S}
\refJ Shi,  Z. C., Shen, S. C.;
A direct analysis of the 9-parameter quasi-conforming plate element;
Numer.\ Math.\ Sinica; 12; 1990; 76--84;
% nonconforming, FEM, multivariate, polynomial interpolation

%ShiWang
\rhl{S}
\refR Shi, X. Q., Wang, R. H.;
Geometric continuity on curves and surfaces;
Jilin Univ.; xx;

%ShiXQ88a
% author
\rhl{S}
\refD Shi,  Xiquan;
Higher-dimensional splines;
Ph.D., Jilin University; 1988;

%ShiXQ91a
% greg
\rhl{S}
\refJ Shi,  Xiquan;
The singularity of Morgan-Scott's construction;
\CAGD; 8; 1991; 201--206;

%ShiXQ92a
% author
\rhl{S}
\refJ Shi,  Xiquan;
The dimension of spline spaces $S_k^r(\Delta_n)$, ($k\ge 2^{n-2}(3r+1)+1$);
Chinese Science Bulletin; 5; 1992; 436--437;

%ShiXQ92b
% author 20jun97
\rhl{S}
\refJ Shi,  Xiquan;
Dimensions of spline and their singularity;
\JCM; 3; 1992; 224--230;
% volume number must be wrong. should be 10 if year is right

%ShiXQWangSMWangWBWangRH86
% carlrefs 20nov03
\rhl{}
\refR Shi, Xiquan, Wang, Sahoming, Wang, Wubao, Wang, Renhong;
The $C'$-quadratic spline space on triangulations;
Res.~Rep., Dept.\ Math, Inst.\ Math;, Jilin U. (Changchun, CHINA); 1986;

%ShiYG00
% carl 21jan02
\rhl{}
\refJ Shi, Ying Guang;
On Hermite interpolation;
\JAT; 105(1); 2000; 49--86;

%ShiauWahbaJohnson85
\rhl{S}
\refR Shiau, J-J., Wahba, G., Johnson, D. R.;
Partial spline models for the inclusion of tropopause and frontal boundary
information in otherwise smooth two and three dimensional objective
analysis;
J. Atomosphere Ocean Tech.; 1985;

%ShiauWahbaJohnson86
\rhl{S}
\refJ Shiau,  J. J., Wahba, G., Johnson, D. R.;
Partial spline models for the inclusion of tropopause and frontal
boundary information in otherwise smooth two and three dimensional
objective analysis;
J.\ Ocean Atmos.\ Tech.; 3; 1986; 714--725;

%ShikinPlis95a
% carl 5dec96
\rhl{S}
\refB Shikin, Eugene V., Plis, Alexander I.;
Handbook on Splines for the User;
CRC Press, Boca Raton (FL); 1995;
% many fortran programs and some unusual approaches (e.g., smoothing spline
% with many smoothing parameters).

%ShirmanSequin87a
% greg
\rhl{S}
\refJ Shirman,  L., S\'equin, C.;
Local surface interpolation with
B\'ezier patches; \CAGD; 4; 1987; 279--295;

%ShirmanSequin92a
% . 26oct95
\rhl{S}
\refJ Shirman, L. A., S\'equin, C. H.;
Procedural interpolation with curvature-continuous cubic splines;
|CAD; 24; 1992; 278--286;
% good survey of methods

%Shisha73
% larry
\rhl{S}
\refJ Shisha, O.;
A characterization of functions having Zygmund's property;
\JAT; 9; 1973; 395--397;

%Shisha74
\rhl{S}
\refR Shisha, O.;
Characterization of smoothness properties of functions by means of their
degree of approximation by splines;
xx; 1974;

%Shohat25
% . 19nov95
\rhl{S}
\refJ Shohat, J.;
On the polynomial of the best approximation to a given continuous function;
\BAMS; 31; 1925; 509--514;

%ShokrollahiHassibiHochwaldSweldens01
% shayne 06jun04
\rhl{}
\refJ Shokrollahi, A., Hassibi, B., Hochwald, B. M., Sweldens, W.;
Representation theory for high-rate multiple-antenna code design;
IEEE Trans.{} Inform.{} Theory; 47(6); 2001; 2335--2367;

%ShridharBalatoni74
% larry
\rhl{S}
\refJ Shridhar, M., Balatoni, N.;
A generalized cubic spline technique for identification of multivariable 
systems;
\JMAA; 47; 1974; 78--90;

%Shrivastava91
\rhl{S}
\refR Shrivastava,  M.;
Mean averaging interpolation by discrete quadratic splines;
R. D. Univ., Jabalpur, India; xxx;

%Shrivastava93
% carl
\rhl{S}
\refJ Shrivastava,  M.;
A best approximation property of discrete quadratic interpolatory splines;
\JATA; 9(2); 1993; 81--88;

%ShuBoulanger00
% larry 20apr00
\rhl{}
\refP Shu, Chang, Boulanger, Pierre;
Triangulating trimmed NURBS surfaces;
\Stmalod; 381--388;

%ShuHoriMannLittle70
% sherm
\rhl{S}
\refQ Shu,  H., Hori, S., Mann, W. R., Little, R. N.;
The synthesis of sculptured surfaces;
(Numerical Control Programming Languages), W. H. P. Leslie (ed.),
North-Holland (Amsterdam); 1970; 358--375;

%ShureParkerBackus82
% carl 23jun03
\rhl{}
\refJ Shure, Loren, Parker, Robert L., Backus, George E.;
Harmonic splines for geomagnetic modelling;
Physics of Earth and Planetary Interiors; 28; 1982; 215--229;

%Shutko98
% shutko@kmuga.freenet.kiev.ua  26aug98
\rhl{S}
\refD Shutko, V. N.;
Method and algorithms of detection-measurement of information signal with
   application of spline-conversions (Russian);
KMUGA  KIEV  UA; 1998;
% The dissertation introduces method of spline-approximation and
% extrapolation of amplitude (energy) spectrums of information signals based
% on time sampling (correlation functions) without direct calculation of
% amplitude (energy) spectrum. On the basis of the above-stated methods 
% algorithms of detection-measurement of Doppler radar-tracking signals are 
% developed.

%Shvartsman07
% carl 21nov08
\rhl{S}
\refJ Shvartsman, P.;
On extensions of Sobolev functions defined on regular subsets of metric
   measure spaces;
\JAT; 144(2); 2007; 139--161;
% subset $S$ is regular if, for some $R>0$, 
% $\sup_{0<r<R}\sup_{s\in S} \meas(B(s,r))/\meas(B(s,r)\cap S) <\infty$.

%Shvartzman87
% carlrefs 20nov03
\rhl{}
\refJ Shvartzman, P. A.;
Traces of functions of Zygmund class;
Sibir.\ Matem.\ Zhurnal; 28(5); 1987; 203--215;
% translation in xxx: xx: 198x: 853--863:

%Shvartzman92
% carlrefs 20nov03
\rhl{}
\refJ Shvartzman, P. A.;
K-functionals of weighted Lipschitz spaces and Lipschitz selections of
   multivalued mappings;
Isr.\ Math.\ Conf.\ Proc.; 5; 1992; 254--268;

%Sibson78
% larry
\rhl{S}
\refJ Sibson,  R.;
Locally equiangular triangulations;
Computer J.; 21; 1978; 243--245;

%Sibson80a
% . 26oct95 18sep03
\rhl{S}
\refJ Sibson, R.;
A vector identity for the Dirichlet tessellation;
Math.\ Proc.\ Camb.\ phil.\ Soc.; 87; 1980; 151--155;

%Sibson81
\rhl{S}
\refQ Sibson,  R.;
A brief description of natural neighbor interpolation;
(Interpreting Multivariate Data),
D. V. Barnett (ed.), Wiley (New York); 1981; 21--36;

%SibsonStone91
% . 24mar99
\rhl{S}
\refJ Sibson, Robin, Stone, G.;
Computation of thin-plate splines;
\SJSSC; 12(6); 1991; 1304--1313;

%Sickel92
% carl
\rhl{S}
\refJ Sickel,  W.;
Characterization of Besov-Triebel-Lizorkin spaces via approximation by
Whittaker's cardinal series and related unconditional Schauder bases;
\CA; 8; 1992; 257--274;

%Sidhu84
% larry
\rhl{S}
\refJ Sidhu, G. S.;
Vector-valued $Lg$-splines II. Smoothing splines;
\JMAA; 101; 1984; 380--396;

%SidhuWeinert79
% larry
\rhl{S}
\refJ Sidhu, G. S., Weinert, H. L.;
Vector-valued Lg-splines I:  Interpolating splines;
\JMAA; 70; 1979; 505--529;

%SidhuWeinert84
% larry
\rhl{S}
\refJ Sidhu, G. S., Weinert, H. L.;
Vector-valued Lg-splines II:  Smoothing splines;
\JMAA; 101; 1984; 380--396;

%SidhuWeinert99
\rhl{S}
\refR Sidhu, G. S., Weinert, H. L.;
Dynamical recursive algorithms for Lg-spline interpolation of EHB data;
xx; 1999;
%submitted to MathComp

%Sidi96a
% carl 5dec96
\rhl{S}
\refJ Sidi, Avram;
Extension and completion of Wynn's theory on convergence of the columns of the
   epsilon table;
\JAT; 86(1); 1996; 21--40;

%SiepmannSundermann83
% sonya
\rhl{S}
\refJ Siepmann,  D., S\"undermann, B.;
On a minimal property of cubic periodic Lagrangian splines;
\JAT; 39; 1983; 236--240;

%Siganevich88a
% shayne 21feb96
\rhl{S}
\refJ Siganevich, G. L.;
On the best estimate of the linear interpolation error on a triangle for
   functions in $W_2^2(T)$;
Soviet Math.\ Dokl.; 37(3); 1988; 745--748;
% numerical estimation of the best constants for L_2-bounds on
% the error in linear interpolation

%Sikorski89
% . 02feb01
\rhl{S}
\refJ Sikoroski, K.;
Study of linear information for classes of polynomial equations;
\AeM; 37; 1989; 1--14;

%SilanesArcangeli89
% carl
\rhl{S}
\refJ Silanes,  M. C. Lopez de, Arcangeli, R.;
Estimations de l'erreur d'approximation par splines d'interpolation et
d'ajustement d'ordre $(m,s)$;
\NM; 56; 1989; 449--467;

%SilanesLopezApprato88
% larry
\rhl{S}
\refJ Silanes, de M.,  Lopez, C.,  Apprato, D.;
Estimations de l'erreur d'approximation sur un domaine born\'e de $R^n$
par $D^m$-splines d'interpolation et d'ajustement discr\'etes;
\NM; 53; 1988; 367--376;

%SilanesLopezArcangeli88
\rhl{S}
\refR Silanes, de M.,  Lopez, C., Arcangeli, R.;
Majorations de l'erreur d'approximation par splines d'interpolation et
d'ajustement d'ordre (m,s);
Analyse Num\'erique 88/12; xx;

%Silliman72
\rhl{S}
\refR Silliman, S.;
The numerical evaluation by splines of the Fourier transform and the
Laplace transform;
MRC Technical Summary Report no.\ 1183, Madison, Wisconsin; 1972;

%Silliman74
% author 29apr97
\rhl{S}
\refJ Silliman, Sherwood D.;
The numerical evaluation by splines of the Fourier transform and the Laplace
   transform;
\JAT; 12; 1974; 32--51;
% MRC TSR 1183

%Silva85
% shayne 22may98
\rhl{S}
\refJ da Silva, M. R.;
Nonnegative order iterates of Bernstein polynomials and their limiting
   semigroup;
Portugal.{} Math.; 42(3); 1985; 225--248;

%Silverman81
\rhl{S}
\refR Silverman,  B. W.;
On the estimation of a probability density function
       by the maximum penalized likelihood method;
MRC Tech.\ Rpt.; 1981;

%Silverman85
% author 21jan02
\rhl{}
\refJ Silverman, B. W.;
Some aspects of the spline smoothing approach to nonparametric regression
   curve fitting (with discussion);
J. Roy.\ Statist.\ Soc.\ {\bf B}; 47; 1985; 1--52;

%Silvester70a
% shayne 14sep95
\rhl{S}
\refJ Silvester, P.;
Symmetric quadrature formul{\ae} for simplexes;
\MC; 24; 1970; 95--100;
% representation for the Lagrange polynomials for interpolation from the
% simplex points in terms of the barycentric coordinates

%Simerska78
\rhl{S}
\refJ Simerska,  C.;
The $L_\infty$ bound of projection onto splines;
Acta Polytech.\ Prec.\  C. V. U. T.; 4; 1978;  53--67;

%Simon18
% . 23jun03
\rhl{}
\refJ Simon, W. G.;
A formula of polynomial interpolation;
Ann.\ Math.; 19; 1918; 242--245;

%Simps78
\rhl{S}
\refJ Simps,  S. E.;
A note on some convergence properties of
  spline functions;
Comput.\  Math.\ Appl.; 2; 1978;  277--279;

%Simpson63
% larry
\rhl{S}
\refJ Simpson, R. B.;
Approximation of the minimizing element for a class of functionals;
\SJNA; 5; 1963; 26--41;

%Simpson84
\rhl{S}
\refR Simpson, A. L.;
Data structures for a geoscience language;
University of Houston; 1984;

%Sims69
\rhl{S}
\refD Sims,  S. E.;
Convergence properties of spline functions;
Univ.\  Arizona,  Tucson; 1969;

%Sincovec72
% larry, carl
\rhl{S}
\refJ Sincovec, Richard F.;
On the solution of the equations arising from collocation with cubic 
B-splines;
\MC; 26(120); 1972; 893--895;
% boundery-value problems.

%SingerI63
% carl
\rhl{S}
\refB Singer,  I.;
Cea mai bun\u a approximare \^in spa\c tii vectoriale normate prin elemente din
subspa\c tii vectoriale;
Editura Academiei Republicii Socialiste Rom\^ania (Bukharest); 1967;
% translation: SingerI70

%SingerI70
% . 02feb01
\rhl{}
\refB Singer, Ivan;
Best approximation in normed linear spaces by elements of linear subspaces;
Springer-Verlag (Heidelberg); 1970;
% translation of SingerI63

%SinghBurryWatsonB84
% . 03dec99
\rhl{S}
\refB Singh,  S. P., Burry, J. H. W., (eds.), B. Watson;
Approximation Theory and Spline Functions;
Reidel (Dordrecht); 1984;

%SinhaSchunck92
% larry
\rhl{S}
\refJ Sinha, S. S., Schunck, B. G.;
A two-stage algorithm for discontinuity-preserving surface
reconstruction;
\ITPAMI; 14; 1992; 36--55;

%Sirvent90
% peter
\rhl{S}
\refD Sirvent,  M.;
The dimension of multivariate spline spaces;
Department of Mathematics, University of Utah,
Salt Lake City, Utah 84112; 1990;

%Sivakumar89a
% sherm
\rhl{S}
\refJ Sivakumar,  N.;
On univariate cardinal interpolation by shifted splines;
\RMJM;  19; 1989; 481--489;

%Sivakumar90a
% sonya
\rhl{S}
\refJ Sivakumar,  N.;
On bivariate cardinal interpolation by shifted splines on a 
three-direction mesh;
\JAT; 61; 1990; 178--193;

%Sivakumar90b
\rhl{S}
\refD Sivakumar,  N.;
Studies in box splines;
Edmonton, Alberta, Canada; 1990;

%Sivakumar91a
% sherm
\rhl{S}
\refJ Sivakumar,  N.;
Concerning the linear dependence of integer translates
of exponential box splines;
\JAT; 64; 1991; 95--118;

%Sivakumar97
% author 20jun97
\rhl{S}
\refJ Sivakumar, N.;
A note on the Gaussian cardinal-interpolation operator;
\PEMS; 40; 1997; 137--149;

%SivakumarWard93
% sherm
\rhl{S}
\refJ Sivakumar,  N., Ward, J. D.;
On the least squares fit by radial functions to multidimensional
scattered data;
\NM; 65; 1993; 219--243;
%  On the best least squares fit ...??

%SklanskyChazinHansen72
\rhl{S}
\refJ Sklansky,  R., Chazin, R. L., Hansen, B. J.;
Minimium perimeter polygons of digitized silhouettes;
\ITC; C-23; 1972; 445--448;

%SklanskyGonzalez80
\rhl{S}
\refJ Sklansky,  R., Gonzalez, V.;
Fast polygonal approximation of digitized curves;
\PR; 12; 1980; 327--331;

%Slepian68
% shayne 16aug02
\rhl{}
\refJ Slepian, D.;
Group codes for the Gaussian channel;
Bell System Tech.{} J.; 47; 1968; 575--602;

%Sloan91
\rhl{S}
\refR Sloan,  I. H.;
Interpolation and hyperinterpolation;
Cornell Univ., Ithaca, NY; xxx;

%Sloan95
% author 21jan02
\rhl{}
\refJ Sloan, I. H.;
Polynomial interpolation and hyperinterpolation over general regions;
\JAT; 83(2); 1995; 238--254;
% hyperinterpolation: orthogonal projector onto $\Pi_n(\RR^d)$ discretized 
% by replacing the relevant integrals by a quadrature rule exact on $\Pi_{2n}$

%Sloan97
% author 21jan02
\rhl{S}
\refP Sloan, I. H.;
Interpolation and hyperinterpolation on the sphere;
\DuisburgII; 255--268;

%SloanDatFairweather93
\rhl{S}
\refJ Sloan,  I. H., Dat, Tran, Fairweather, G.;
A fourth-order cubic spline method for linear second-order two-point
boundary value problems;
\IMAJNA; 13 (4); 1993; xxx--xxx;

%SloanPainter88
% larry
\rhl{S}
\refJ Sloan,  K. R., Painter, J.;
Pessimal guesses may be optimal: A counterintuitive search result;
\ITPAMI; 10; 1988; 949--955;

%SloanTranFairweather93
% author 22may98
\rhl{S}
\refJ Sloan, I. H., Tran, D., Fairweather, G.;
A fourth-order cubic spline method for linear second-order two-point boundary
   value problems;
\IMAJNA; 13; 1993; 591--607;

%SloanWendland89a
% . 05feb96
\rhl{S}
\refJ Sloan, I. H., Wendland, W. L.;
A quadrature-based approach to improving the collocation method for splines of
   even degree;
Z. Anal.\ Anwendungen; 8; 1989; 361--376;

%SloanWendland99
% carl 26aug99
\rhl{S}
\refJ Sloan, I. H., Wendland, W. L.;
Commutator properties for periodic splines;
\JAT; 97(2); 1999; 254--281;

%SloanWomersley00
% author 21jan02
\rhl{}
\refJ Sloan, I. H., Womersley, R.;
Constructive polynomial approximation on the sphere;
\JAT; 103; 2000; 91--118;
% Sloan95

%SlusallekKleinKolbGreiner94
% larry
\rhl{S}
\refP Slusallek, Ph., Klein, R., Kolb, A., Greiner, G.;
An object-oriented framework for curves and surfaces with applications;
\ChamonixIIa; 457--466;

%Smarzewski85
% sonya
\rhl{S}
\refJ Smarzewski,  R.;
X-splines of odd degree;
\JAT; 44(4); 1985; 295--314;

%SmarzewskiBujalska83
% larry
\rhl{S}
\refJ Smarzewski,  R., Bujalska, A.;
Uniform convergence of cubic and quadratic
  X-spline interpolants;
\IMAJNA; 3; 1983;  353--372;

%Smirnov68
\rhl{S}
\refJ Smirnov,  V. M.;
A method of smooth interpolation of functions;
Comp.\ Math.; 8; 1968;  190--193;

%Smith72
% larry
\rhl{S}
\refD Smith, P. W.;
$W^{r,p}(R)$-splines;
Purdue; 1972;

%Smith76
% larry
\rhl{S}
\refP Smith,  P. W.;
On the smoothness of local best $L_p$ spline approximations;
\LCS; 563--566;

%Smith83
\rhl{S}
\refR Smith,  Alvy Ray;
Spline Tutorial Notes;
Technical Memo No.\ 77, Computer Graphics Project, Lucasfilm Ltd.;
1983;

%Smith99
\rhl{S}
\refR Smith, P. W.;
An improvement theorem for Descartes systems;
xx; 1999;

%SmithK70
% carl
\rhl{S}
\refJ Smith,  K. T.;
Formulas to represent functions by their derivatives;
\MA; 188; 1970; 53--77;

%SmithSJ99
% carl 24mar99
\rhl{S}
\refJ Smith, Simon J.;
On the positivity of the fundamental polynomials for generalized
   Hermite-Fej\'er interpolation on the Chebyshev nodes;
\JAT; 96; 1999; 338--344;
% m-th order HF enforces vanishing of derivatives of order 1,...,m at the 
% data sites. Hence even-order HF has fundamental polynomials that are
% negative somewhere, leading to unbounded Lebesgue constantd. By contrast,
% odd-order HF at Chebyshev sites has nonnegative fundamental polynomials.

%SmithWard90
% greg
\rhl{S}
\refJ Smith,  P. W., Ward, J. D.;
Quasi-interpolants from spline interpolation operators; 
\CA;  6; 1990; 97--110;

%Smoljak71
\rhl{S}
\refJ Smoljak,  S. A.;
Splines and their applications;
Ekonom.\  i Mat.\ Medody; 7; 1971;  419--431;

%Smoluk64
\rhl{S}
\refJ Smoluk,  A.;
On the approximation with piecewise functions;
Zeszyty Nauk.\  Wyz.\  Szkol.\  Ekon.\  Wroclaw; 21; 1964; 107--121;

%Smoluk67
\rhl{S}
\refJ Smoluk,  A.;
Examples of piecewise approximation of functions;
Prace Nauk Wyzszej Skoly Ekon.\ Wroklaw; 6; 1967;  109--126;

%Smoluk67b
\rhl{S}
\refJ Smoluk,  A.;
On piecewise approximation of functions;
Prace Nauk Szkoly Ekon.\  Wroclaw; 6; 1967;  101--108;

%Smolyak65a
% .
\rhl{S}
\refD Smolyak,  S. A.;
On the optimal recovery of functions and of functionals of them (Russian);
PhD Thesis, Moscow State University; 1965;
% basic result in this thesis often quoted: H ls, T \in lin(H,\RR^m), L\in
% H', M convex centrally symmetric body in  H  and \sup L(\ker T \cap M) < 
% \infty.\ Then \inf_\Phi \sup|(L  - \Phi)(M)| = \sup|(L- c*T)(M)|
% for some c \in \RR^m , with  the \inf_\Phi  over all maps (linear or not!)
% \Phi:\RR^m\to\RR .

%Soanes76
% carl 22may98
\rhl{S}
\refQ Soanes,  Royce W.{, Jr.};
VP-splines, an extension of twice differentiable interpolation;
(Proc.\ 1976 Army Numerical Analysis and Computers Conf., ARO Report 76-3),
xxx (ed.), U.S. Army Res.\ Office, P.O. Box 12211 (Research Triangle Park NC);
1976; 141--152;

%Soanes92
% carl
\rhl{S}
\refQ Soanes,  Royce W.;
Minimax linear splines;
(Trans.\ 9th Army Conf.\ on Applied Mathematics and Computing), xxx (ed.),
ARO Report 92-1, U.S. Army Research Office, 
P.O. Box 12211 (Research Triangle Park NC 27709-2211); 1992; 721--733;

%Sobolev62a
% shayne 26oct95
\rhl{S}
\refJ Sobolev, S. L.;
Cubature formulas on the sphere invariant under finite groups of rotations;
Soviet Math.\ Doklady; 3; 1962; 1307--1310;
% first paper explicitly using invariant theory to construct cubature formulae

%Sobolev74a
% . 10nov97
\rhl{S}
\refB Sobolev, S. L.;
Introduction to the Theory of Cubature Formulas (Russian);
Nauka (Moskva); 1974;
% multivariate interpolation
% calls lower set of points on a rectangular grid `Newton point system'

%Sobolev77
% sherm
\rhl{S}
\refJ Sobolev,  S. L.;
On the roots of the Euler polynomials;
Sov.\ Math.\ Doklady; 18; 1977; 935--938;

%SobolevskiiHoang77
\rhl{S}
\refJ Sobolevskii,  P. E., Hoang, V. L.;
The theory of Hermite splines and algorithms of
  optimum type;
Cisl.\  Metody Meh.\  Spolan.\  Sredy; 8; 1977;  135--143;

%Soh88
% carl
\rhl{S}
\refJ Soh,  B. C.;
Fourier series of B-splines;
\JCAM; 21; 1988; 125--127;

%Sommer06
% carl
\rhl{}
\refJ Sommer, Manfred;
Hermite interpolation of data sets by minimal spline spaces;
\CA; 23(2); 2006; 211--228;
% adds to Grandine01

%Sommer75
\rhl{S}
\refD Sommer,  M.;
Gleichm\"assige Approximation mit zweidimensionalen Splinefunktion;
Erlangen; 1975;

%Sommer79
% larry
\rhl{S}
\refJ Sommer, M.;
Continuous selections of the metric projection for 1-Chebyshev spaces;
\JAT; 26; 1979; 46--53;

%Sommer80
% larry
\rhl{S}
\refJ Sommer, M.;
Characterization of continuous selections of the metric projection for
a class of weak Chebyshev spaces;
\SJMA; 11; 1980; 23--40;

%Sommer80b
\rhl{S}
\refR Sommer, M.;
Finite dimensional subspaces and alternation;
xx; 1980;

%Sommer80c
\rhl{S}
\refR Sommer, M.;
Existence of pointwise-Lipshitz-continuous selections of the metric 
projection for a class of Z-spaces;
xx; 1980;

%Sommer82
\rhl{S}
\refR Sommer, M.;
$L_p$-approximations and Chebyshev approximations in subspaces of 
spline functions;
Universit\"at Erlangen-N\"urnberg; 1982;

%Sommer83
% larry
\rhl{S}
\refJ Sommer, M.;
Weak Chebyshev spaces and best $L_1$-approximation;
\JAT; 39; 1983; 54--71;

%Sommer84
% larry
\rhl{S}
\refJ Sommer, M.;
Parametric approximation by splines;
\NFAO; 7(1); 1984-85; 1--21;

%Sommer85
\rhl{S}
\refP Sommer, M.;
Uniqueness of best $L_1$-approximations of continuous functions;
\Meindardus; 264--281;

%Sommer91
\rhl{S}
\refR Sommer,  M.;
Segment approximation by using linear functionals;
Katholische Univ.\ Eichst\"att, Germany, Preprint 91-001; 1991;

%Sommer99
\rhl{S}
\refR Sommer, M.;
Parametric approximation by splines;
xx; 1999;

%Sommer99b
\rhl{S}
\refR Sommer, M.;
Continuous selections and convergence of best $L_p$-approximations in 
subspaces of spline functions;
xx; 1999;

%Sommer99c
\rhl{S}
\refR Sommer, M.;
Chebyshev rank of bivariate polynomials in $L_1$-approximation;
xx; 1999;

%Sommer99d
\rhl{S}
\refR Sommer, M.;
Some results on best $L_1$ approximation of continuous functions;
xx; 1999;

%Sommer99e
\rhl{S}
\refR Sommer, M.;
Examples of unicity subspaces in $L_1$-approximation;
xx; 1999;

%Sommer99f
\rhl{S}
\refR Sommer, M.;
Properties of unicity subspaces in $L_1$-approximation;
xx; 1999;

%Sommer99g
\rhl{S}
\refR Sommer, M.;
Weak Chebyshev spaces and splines;
xx; 1999;

%SommerStrauss06
% journal 05mar08
\rhl{SS}
\refJ Sommer, Manfred, Strauss, Hans;
A condition of Schoenberg-Whitney type for multivariate spline interpolation;
\AiCM; 5(1); 2006; 381--397;

%SommerStrauss77
% larry
\rhl{S}
\refJ Sommer, M., Strauss, H.;
Eigenschaften von schwach Tschebysheffschen R\"aumen;
\JAT; 21; 1977; 257--268;

%SommerStrauss81
\rhl{S}
\refR Sommer, M., Strauss, H.;
Unicity of best one-sided $L_1$-approximations for certain classes of 
spline functions;
Universit\"at Erlangen-N\"urnberg; 1981;
% appeared in J numer.\ functional analysis and optim?

%SommerStrauss87
\rhl{S}
\refR Sommer, M., Strauss, H.;
A characterization of Descartes systems in Haar subspaces;
xx; 1987;

%SommerStrauss88
% greg
\rhl{S}
\refJ Sommer,  M., Strauss, H.;
Weak Descartes systems in generalized spline spaces;
\CA; 4; 1988; 133--145;

%SommerStrauss99
\rhl{S}
\refR Sommer, M., Strauss, H.;
Order of strong uniqueness in best $L_\infty$-approximation by spline spaces;
xx; 1999;

%SommerStrauss99b
\rhl{S}
\refR Sommer, M., Strauss, H.;
Chebyshev rank in one-sided $L_1$-approximation;
xx;  1999;

%Sommerfeld04
% carl
\rhl{S}
\refQ Sommerfeld,  A.;
Eine besondere anschauliche Ableitung des Gaussischen Fehlergesetzes;
(Festschrift LUDWIG BOLTZMANN gewidmet zum sechzigsten Geburtstage), Stefan
Meyer (ed.), Verlag von J. A. Barth (Leipzig); 1904; 848--859;

%SoneKonnoChiyokura00
% larry 20apr00
\rhl{}
\refP Sone, Junji, Konno, Kouichi, Chiyokura, Hiroaki;
Surface interpolation of non-four-sided and concave area by NURBS
   boundary Gregory patches;
\Stmalod; 389--398;

%Song75
\rhl{S}
\refJ Song,  C. H.;
Some considerations on cubic splines;
Subak kamuli; 3; 1975; 29--33;

%Sonneveld69
% larry
\rhl{S}
\refJ Sonneveld,  P.;
Errors in cubic spline interpolation;
J.  Engrg.\  Math.; 3; 1969;  107--117;

%Sonnevend84
% larry
\rhl{S}
\refJ Sonnevend, Gy.;
Sequential algorithms of optimal order global error for the uniform recovery
of functions with monotone (r-1) derivatives;
Analysis Mathematica; 10; 1984; 311--335;

%Spaeth71
% larry
\rhl{S}
\refJ Sp\"ath, H.;
Rationale spline-interpolation;
Angewandte Informatik; 8; 1971; 357--359;

%Spath68
% larry
\rhl{S}
\refJ Sp\"ath,  H.;
Ein Verfahren zur fl\"achentreuen Approximation
  von Treppenfunktionen durch glatte Kurven;
\ZAMM; 48; 1968;  106--107;

%Spath69
\rhl{S}
\refJ Sp\"ath,  H.;
Algorithmus 10-- Zweidimensionale glatte Interpolation;
\C; 4; 1969;  178--182;

%Spath69c
% larry
\rhl{S}
\refJ Sp\"ath,  H.;
Exponential spline interpolation;
\C; 4; 1969; 225--233;

%Spath69d
% larry
\rhl{S}
\refJ Sp\"ath,  H.;
Interpolation by certain quintic splines,  Algorithm 42;
\CJ; 12; 1969; 292--293;

%Spath69e
% larry
\rhl{S}
\refJ Sp\"ath,  H.;
Spline interplation of degree three,  Algorithm 40;
\CJ; 12; 1969; 198--199;

%Spath71
% larry
\rhl{S}
\refJ Sp\"ath,  H.;
Algorithmus 10---zweidimensionale glatte Interpolation;
\C; 4; 1971; 178--182;

%Spath71c
% larry
\rhl{S}
\refJ Sp\"ath,  H.;
Berichtigung zu Algorithmus 10;
\C; 8; 1971; 200--201;

%Spath71d
\rhl{S}
\refJ Sp\"ath,  H.;
Die numerische Berechnung von interpolierenden Splinefunktionen
mit Blockunterrelaxation;
\ZAMM; 51; 1971; XX;

%Spath71e
% larry
\rhl{S}
\refJ Sp\"ath,  H.;
The numerical calculation of high-degree Lidstone
  splines with equidistant knots by blockunderrelaxation;
\C; 7; 1971;  65--74;

%Spath71f
% larry
\rhl{S}
\refJ Sp\"ath,  H.;
Algorithm 16: Two dimensional exponential splines;
\C; 7; 1971; 364--369;

%Spath71g
\rhl{S}
\refJ Sp\"ath,  H.;
The numerical calculation of quintic splines by block-
  underrelaxation;
\C; 7; 1971;  75--82;

%Spath74b
\rhl{S}
\refB Sp\"ath,  H.;
Spline algorithms for curves and surfaces;
translated by W. D. Hoskins and H. W. Sager, Utilitas Math. (Winnipeg);
1974;

%Spath74c
\rhl{S}
\refJ Sp\"ath,  H.;
Verallgemeinerte kubische Spline-Interpolation;
\ZAMM; 54; 1974;  234--235;

%Spath90a
\rhl{S}
\refB Sp\"ath,  H.;
Eindimensionale Spline--Algorithmen;
Oldenbourg (M\"unchen); 1990;

%Spath91a
% . 26aug98
\rhl{S}
\refB Sp\"ath,  H.;
Zweidimensionale Spline--Interpolations--Algorithmen;
Oldenbourg (M\"unchen); 1991;

%Spath97
% carl 26aug98
\rhl{S}
\refJ Sp\"ath, Helmuth;
Least-squares fitting of ellipses and hyperbolas;
Comput.\ Statist.; 12; 1997; 329--341;
% uses special fixedpoint iteration

%Spath97
% carl 26aug98
\rhl{S}
\refJ Sp\"ath, Helmuth;
Orthogonal distance fitting by circles and ellipses with given area;
Comput.\ Statist.; 12; 1997; 343--354;
% uses special fixedpoint iteration

%SpathMeier88
% larry
\rhl{S}
\refJ Sp\"ath,  H., Meier, J.;
Flexible smoothing with periodic cubic splines and fitting with closed curves;
\C; 40; 1988; 293--300;

%Specht88
% .
\rhl{S}
\refJ Specht,  B.;
Modified shape functions for the three-node plate bending element passing the
patch test;
\IJNME; 26; 1988; 705--715;
% nonconforming, FEM, multivariate, polynomial interpolation

%Speckman81
% . 21jan02
\rhl{}
\refR Speckman, P.;
The asymptotic integrated mean square error for smoothing noisy data by
   splines;
Dept.~Math., Univ.~Oregon (Eugene OR); 1981;

%SpettmannLukassen84
% carlrefs 20nov03
\refR Spettmann-Lukassen, Sigrid;
On the approximative solution of linear boundary value problems by
   collocation methods using smooth spline funcitons;
Bericht Nr.~25, Inst.\ Geom.\ Prakt.\ Math., TU Aachen; 1984;

%Spiegal71
% . 05mar08
\rhl{S}
\refB Spiegal, M. R.;
Calculus of finite differences and difference equations;
McGraw-Hill (New York); 1971;
% could that be Spiegel?

%SpiekermannSemberSmith92
\rhl{S}
\refR Spiekermann,  C., Sember, B., Smith, B.;
Development of a parametric quadratic B-spline direct integrand;
North Carolina State Univ.; xxx;

%Spoerl43
% larry
\rhl{S}
\refJ Spoerl,  C. A.;
Difference-equation interpolation;
Trans.\ Actuar.\ Soc.\ Amer.; 44; 1943; 289--325;

%Spoerl44
% larry
\rhl{S}
\refJ Spoerl,  C. A.;
Difference-equation interpolation;
Trans.\ Actuar.\ Soc.\ Amer.; 45; 1944; 70--82;

%Sprague80
\rhl{S}
\refJ Sprague,  T. B.;
Explanation of a new formula for interpolation;
J.  Inst.\ Actuar.; 22; 1880; 270--285;

%Springer94
% larry
\rhl{S}
\refP Springer, J.;
Modeling of geological surfaces using finite elements;
\ChamonixIIb; 467--474;

%Srivastava86
\rhl{S}
\refJ Srivastava,  M.;
Phillip and Watson---Quo Vadunt;
Math.\ Geol.; 18; 1986; 141--146;

%Stampfle00
% carl 20apr00
\rhl{S}
\refJ St{\"a}mpfle, Martin;
Optimal estimates for the linear interpolation error on simplices;
\JAT; 103(1); 2000; 78--90;
% good record of basic results

%Stancu59a
% .
\rhl{S}
\refJ Stancu,  D. D.;
De l'approximation par des polyn\^omes du type Bernstein des fonctions de deux
variables;
Comm.\ Akad.\ R. P. Romaine; 9; 1959; 773--777;

%Stancu64a
% . 26oct95
\rhl{S}
\refJ Stancu, D. D.;
The remainder of certain linear approximation formulas in two variables;
\SJNA\ Ser. B; 1; 1964; 137--163;
% is credited with the formula 
% $B_nf = f + ()(1-\cdot)/n \sum_{k=0}{n-1}p_{n-1,k}\dvd{\cdot,k/n,(k+1)/n}f$
% for the Bernstein operator, $B_n$.

%Stancu80
% larry Lai-Schumaker book
\rhl{Sta80}
\refJ Stancu, D. D.;
Some Bernstein polynomials in two variables and their
   applications;
Soviet Math.; 1; 1980; 1025--1028;
% Farin says 1960

%Stark76
\rhl{S}
\refD Stark,  E.;
Mehrfach differenzierbare B\'ezier-Kurven und B\'ezier-Fl\"achen;
Univ.\ Braunschweig; 1976;

%Stead83
\rhl{S}
\refD Stead,  S. E.;
Smooth multistage multivariate approximation;
Brown Univ.; 1983;

%Stead84
\rhl{S}
\refJ Stead,  S. E.;
Estimation of gradients from scattered data;
\RMJM; 14; 1984; 265--279;

%StechkinSubbotin76
\rhl{S}
\refB Stechkin,  S. B., Subbotin, Yu.;
Splines in Numerical Mathematics;
Izd.\ Nauka (Moscow); 1976;

%Stefanus91a
\rhl{S}
\refD Stefanus,  Y.;
Blossoming off the diagonal;
Department of Computer Science,
University of Waterloo, Waterloo, Ontario, Canada; 1991;

%StefanusGoldman92a
% . 5dec96
\rhl{S}
\refJ Stefanus,  Y., Goldman, R. N.;
Blossoming Marsden's identity;
\CAGD; 9; 1992; 73--84;

%Steffensen27a
% shayne 26oct95
\rhl{S}
\refB Steffensen, J. F.;
Interpolation;
Williams and Wilkins (Baltimore); 1927;
% Chelsea reprint 1950
% a good reference for classical results concerning Lagrange and Hermite
% interpolation, and the corresponding differentiation and integration rules

%Steffensen27b
% Curry51
\rhl{S}
\refJ Steffensen, J. F.;
The poweroid, an extension of the mathematical notion of power;
Acta Math.; 73; 1941; 333-366;

%Steffensen39a
% MR 16aug02
\rhl{S39}
\refJ Steffensen, J. F.;
Note on divided differences;
Danske Vid.\ Selsk.\ Math.-Fys.\ Medd.; 17(3); 1939; 1--12;
% MR 42.3X
% the Leibniz formula for divided differences; but see Popoviciu33=34a.

%SteidlTasche89
% carl
\rhl{S}
\refJ Steidl,  Gabriele, Tasche, Manfred;
Index transforms for multidimensional DFT's and convolutions;
\NM; 56; 9189; 513--528;

%Stein70
% larry Lai-Schumaker book
\rhl{Ste70}
\refB Stein, E. M.;
Singular Integrals and Differentiability Properties of Functions;
Princeton University Press (New Jersey); 1970;

%SteinEWeiss71a
% .
\rhl{S}
\refB Stein,  E., Weiss, G.;
Introduction to Fourier analysis on Euclidean spaces;
Princeton University Press (Princeton, NJ); 1971;

%SteinG83a
% larry
\rhl{S}
\refR Stein,  G.;
Verfahren zur Approximation zweidimensionaler Fl\"achen mittels
Tensorprodukt--Splines;
Diplomarbeit, Univ.\ Hamburg; 1983;

%Steinberg84
\rhl{S}
\refR Steinberg, D. M.;
Bayesian models for response surfaces I: The equivalence of several models 
and their relationship to smoothing splines; 
University of Wisconson, Mathematics Research Center; 1984;

%Steinberg84b
\rhl{S}
\refR Steinberg, D. M.;
Bayesian models for response surfaces II:  Estimating the response surface;
University of Wisconson, Mathematics Research Center; 1984;

%SteinerKimmelBruckstein97
% larry 10sep99
\rhl{SKB}
\refP Steiner, A., Kimmel, R.,  Bruckstein, A. M.;
Planar shape enhancement and exaggeration;
\ChamonixIIIa; 411--418;

%Steinhaus84
\rhl{S}
\refP Steinhaus,  B.;
$L_1-$approximation with blending functions;
\VarnaIV; 812--823;

%Steinhaus84b
\rhl{S}
\refD Steinhaus,  B.;
\"Uber mehrdimensionale Approximation mit Tschebyscheff-R\"aumen;
Univ.\ Duisburg; 1984;

%Stelzer
% larry
\rhl{S}
\refJ Stelzer, J. F.;
Colour graphics with three-dimensional finite element meshes;
Eng.\ Comput.; 3; 1986; 295--304;

%Stenger75
% larry
\rhl{S}
\refJ Stenger,  F.;
Computing the topological degree of a mapping in $\RR^n$;
\NM; 25; 1975; 23--38;

%Stenger89
\rhl{S}
\refQ Stenger,  F.;
Explicit approximate methods for computational control theory;
(Computation and Control), Bowers, K., and J. Lund (eds.), Birkh\"auser
(xxx); 1989; 298--316;

%Stepanov90
% shayne 10nov97
\rhl{S}
\refJ Stepanov, V. D.;
On a weighted inequality of Hardy type for derivatives of higher order;
Proc.{} Steklov Inst.{} Math.; 187; 1990; 205--220;

%Stepanov91
% shayne 10nov97
\rhl{S}
\refJ Stepanov, V. D.;
Two--weighted estimates of Riemann--Liouville integrals;
Math.\ USSR--Izv. ; 36; 1991; 669--681;
% related to Hardy's inequality

%StephanusGoldman92
% . 02feb01
\rhl{}
\refJ Stephanus, Y., Goldman, R. N.;
Blossoming Marsden's identity;
\CAGD; 9; 1992; 73--84;

%Stern66
\rhl{S}
\refR Stern, M. D.;
Best approximate integration formulae and Sard's hypothesis;
Atomic Energy Research Establishment, Harwell, Berks.; 1966;

%Stern67
% larry
\rhl{S}
\refJ Stern, M. D.;
Optimal quadrature formulae;
\CJ; 9; 1967; 396--403;

%Sternfeld90
% carl 20nov03
\rhl{}
\refJ Sternfeld, Yaki;
Approximation from the topological viewpoint;
\JAT; 63(2); 1990; 156--169;
% Stone-Weierstrass via topology

%Stetter95
% . 21jan02
\rhl{}
\refJ Stetter, H. J.;
Matrix eigenproblems at the heart of polynomial system solving;
SIGSAM Bull.; 30(4); 1995; 22--25;

%Stetter97
% . 21jan02
\rhl{}
\refQ Stetter, H. J.;
Stabilization of polynomial system solving with Groebner bases;
(ISSAC'97, Proc.{} ACM-SIGSAM Internat.~Symp.\ Symbolic and Algebraic Comput.),
xxx (eds.), ACM Press (New York); 1997; 117--124;

%Stevenson03
% carl 08apr04
\rhl{}
\refJ Stevenson, R. P.;
Locally supported, piecewise polynomial biorthogonal wavelets on nonuniform
   meshes;
\CA; 19(4); 2003; 477--508;

%Stieltjes82
% carlrefs 23jun03
\rhl{}
\refJ Stieltjes, T. J.;
Over Lagrange's interpolatieformule;
Verslagen Akad.\ Wet.\ Amsterdam (naturk.\ Afd.) (2); 17; 1882; 239--254;
% \OE uvres I : Groningen: 1914: 33--60;
% proves lim_{t_0,\ldots,t_n\to x}\difdiv{t_0,\ldots,t_n}f = D^nf(x)/n! under
% rather weak conditions.

%Stiller82
\rhl{S}
\refR Stiller, P. F.;
Certain reflexive sheaves on $P^n_C$ and a problem in approximation theory;
% The P and the C in the title are like \RR (the symbol for real numbers)
Texas A\&M; 1982;

%Stiller86
% larry
\rhl{S}
\refJ Stiller,  P. F.;
Vector bundles on complex projective spaces and systems of partial differential
equations I;
\TAMS; 298; 1986; 537--548;

%StinchcombeWhite89
% sherm, publisher update, call number QP 363.3 I62
\rhl{S}
\refQ Stinchcombe,  M., White, H.;
Universal approximation using feedforward
networks with non-sigmoid hidden layer activation functions; 
(Proceedings of Joint International Conference on Neural Networks), xxx (ed.),
IEEE TAB Neural Network Committee (San Diego); 1989; 613--617;

%StinchcombeWhite90
\rhl{S}
\refJ Stinchcombe,  M., White, H.;
Approximating and learning unknown mappings
using multilayer feedforward networks with bounded weights; 
{IEEE International Conference on Neural Networks};  3; 1990; 7--16;

%Stockler84
\rhl{S}
\refR St\"ockler,  J.;
Geometrische Ans\"atze bei der Behandlung von Splinefunktionen
mehrerer Ver\"anderlicher;
Diplomarbeit, Duisburg; 1984;

%Stockler88a
\rhl{S}
\refD St\"ockler,  J.;
Interpolation mit mehrdimensionalen Bernoulli-Splines und periodischen
Box-Splines;
Duisburg, Germany; 1988;

%Stockler89a
\rhl{S}
\refP St\"ockler,  J.;
Cardinal interpolation with translates of shifted bivariate box-splines;
\Oslo; 583--592;

%Stockler89b
\rhl{S}
\refP St\"ockler,  J.;
Minimal properties of periodic box-spline interpolation on a three-direction
mesh;
\MvatIV; 329--336;

%Stockler91
% greg
\rhl{S}
\refJ St\"ockler,  J.;
Multivariate Bernoulli splines and the periodic interpolation problem;
\CA;  7; 1991; 105--122;

%Stockler92
% carl
\rhl{S}
\refP St\"ockler,  J.;
Multivariate wavelets;
\ChuiWave; 325--355;

%Stockler94a
% carl
\rhl{S}
\refP St\"ockler,  J.;
Non-stationary wavelets;
\ChileII; 307--319;

%Stockmar75
% larry
\rhl{S}
\refJ Stockmar,  A.;
Spline-Funktionen---eine neue Methode zur Darstellung
      von Lichtst\"arkeverteilungen;
Lichttechnik; 8; 1975; 320--324;

%Stoer82
\rhl{S}
\refJ Stoer,  J.;
Curve fitting with clothoidal splines;
J.  Res.\ Nat.\  Bur.\  Standards; 87; 1982;  317--346;

%Stone61
% carl
\rhl{S}
\refJ Stone, Henry;
Approximation of curves by line segments;
\MC; 15(73); 1961; 40--47;
% piecewise linear, free knots

%Stone85
\rhl{S}
\refJ Stone,  Maureen;
One curve, three definitions;
Computer Graphics;
19;
1985;
cover;

%StoneDeRose89a
% . 21feb96
\rhl{S}
\refJ Stone, M. C., DeRose, R. D.;
A geometric characterization of cubic curves;
\ACMTG; 8(3); 1989; 143--163;

%Storchai69
% larry
\rhl{S}
\refJ Storchai, V. F.;
The deviation of polygonal functions in the $L_p$ metric;
\MaZ; 5; 1969; 31--37;

%Storchai72
\rhl{S}
\refJ Storchai,  V. F.;
On the approximation of continuous functions of two variables
using spline functions in the metric C;
Sb.\ Issled.\ Sov.\ Probl.\ Summir.\ Pribl.\ Funk.\ i ih Priloj.; XX; 1972;
66--68;

%StorryBall89a
% . 5dec96
\rhl{S}
\refJ Storry, D. J. T., Ball, A. A.;
Design of an $n$-sided patch from Hermite boundary data;
\CAGD; 6; 1989; 111--120;

%Strang71
\rhl{S}
\refQ Strang,  G.;
The finite element method and approximation theory;
(Numerical Solution of Partial Differential Equations II, SYNSPADE 70),
B. Hubbard (ed.),
University of Maryland (College Park); 1971; 547--583;

%Strang73
\rhl{S}
\refJ Strang,  G.;
Piecewise polynomials and the finite element method;
\BAMS; 79; 1973; 1128--1137;

%Strang74
\rhl{S}
\refP Strang,  G.;
The dimension of piecewise polynomials, and
   one-sided approximation;
\DundeeI; 144--152;

%Strang89
\rhl{S}
\refJ Strang,  G.;
Wavelets and dilation equations: A brief introduction;
\SR; 31; 1989; 614--627;

%Strang96
% carl 20jun97
\rhl{S}
\refQ Strang, Gilbert;
Wavelets from filter banks;
(The Mathematics of Numerical Analysis), J. Renegar, M. Shub, S. Smale
(eds.), Amer,\ Math.\ Soc.{} (Providence); 1996; 765--806;

%StrangFix73a
\rhl{S}
\refB Strang,  G., Fix, J.;
An analysis of the finite element method;
Prentice-Hall (Englewood Cliffs, NJ); 1973;

%StrangFix73b
\rhl{S}
\refQ Strang,  G., Fix, G.;
A Fourier analysis of the finite element variational method; 
(Constructive Aspects of Functional Analysis),
G. Geymonat (ed.), C.I.M.E. II Ciclo 1971 (xxx); 1973; 793--840;

%StrangNguyen96a
% . 5dec96
\rhl{S}
\refB Strang, G., Nguyen, Truong Q.;
Wavelets and Filter Banks;
Wellesley-Cambridge Press (Cambridge MA); 1996;

%StrangStrela94
% . 6aug96
\rhl{S}
\refJ Strang, G., Strela, V.;
Orthogonal multiwavelets with vanishing moments;
J. Optical Eng.; 33; 1994; 2104--2107;
% theorem on page 20 is incorrect

%StrangStrela95a
% . 5dec96
\rhl{S}
\refP Strang, G., Strela, V.;
Finite element multiwavelets;
\SinghIII; 485--496;

%Strasser82
% larry
\rhl{S}
\refJ Strasser,  W.;
Fast curve and surface generation for interactive shape design;
Computers in Industry; 3; 1982; 105--111;

%Stratonovich69
% larry
\rhl{S}
\refJ Stratonovich, R. L.;
Management and operating research--The speed of convergence of 
algorithms for estimating the probability density function;
Eng.\ Cyber.; 6; 1969; 1--13;

%Strauss75
% larry
\rhl{S}
\refJ Strauss, H.;
Eindeutigkeit bei der gleichm\"assigen Approximation mit tschebyscheffschen 
Splinefunktionen;
\JAT; 15; 1975; 78--82;

%Strauss75b
\rhl{S}
\refP Strauss, H.;
$L_1$-Approximation mit Splinefunktionen;
\NmatVII; 151--162;

%Strauss76
% larry
\rhl{S}
\refD Strauss, H.;
Approximation mit Splinefunktionen und Anwendungen auf die Approximation 
linearer Funktionale;
Universit\"at Erlangen-N\"urnberg; 1976;

%Strauss77
\rhl{S}
\refR Strauss, H.;
Untersuchungen \"uber Quadraturformeln;
Universit\"at Erlangen-N\"urnberg; 1977;

%Strauss79
% larry
\rhl{S}
\refJ Strauss, H.;
Optimale Quadraturformeln und Perfektsplines;
\JAT; 27; 1979; 203--226;

%Strauss81
% larry
\rhl{S}
\refJ Strauss, H.;
Eindeutigkeit in der $L_1$-Approximation;
\MZ; 176; 1981; 63--74;

%Strauss82
\rhl{S}
\refR Strauss, H.;
Unicity of best one-sided $L_1$-approximations with applications to moment 
theory and quadrature formulae;
ISNM 57, Birkh\"auser Verlag Basel, 252--261; 1982;

%Strauss82b
% larry
\rhl{S}
\refJ Strauss, H.;
Unicity of best one-sided $L_1$-approximations;
\NM; 40; 1982; 229--243;

%Strauss82c
% larry
\rhl{S}
\refJ Strauss, H.;
Chebyshev approximations in subspaces of spline functions;
\NFAO; 5(4); 1982-83; 421--448;

%Strauss83
\rhl{S}
\refR Strauss, H.;
On Tchebycheffian monosplines and approximation by splines with free knots;
Universit\"at Erlangen-N\"urnberg; 1983;

%Strauss83b
% larry
\rhl{S}
\refJ Strauss, H.;
Comparison theorems for monosplines and best one-sided approximation;
\NFAO; 6(4); 1983; 423--445;

%Strauss84
% larry
\rhl{S}
\refJ Strauss, H.;
Characterization of strict approximations in subspaces of spline functions;
\JAT; 41; 1984; 309--328;

%Strauss84b
% larry
\rhl{S}
\refJ Strauss, H.;
Monotonicity of quadrature formulae of Gauss type and comparison theorems 
for monosplines;
\NM; 44; 1984; 337--347;

%Strauss84c
% larry
\rhl{S}
\refJ Strauss, H.;
An algorithm for the computation of strict approximations in subspaces of
spline functions;
\JAT; 41; 1984; 329--344;

%Strauss84d
% larry
\rhl{S}
\refJ Strauss, H.;
Best $L_1$-approximation;
\JAT; 41; 1984; 297--308;

%Strauss85
\rhl{S}
\refR Strauss, H.;
On semi-infinite optimization and Chebyshev approximation with constraints;
xx; 1985;

%Strauss85b
\rhl{S}
\refR Strauss, H.;
Best Chebyshev approximation by weak Markoff systems with positive coefficients;
xx; 1985;

%Strauss99
\rhl{S}
\refR Strauss,  H.;
Uniqueness in linear semi-infinite optimization;
Univ.\ Erlangen-N\"urnberg; xxx;

%Strelkov01
% carlrefs 20nov03
\rhl{}
\refJ Strelkov, N. A.;
Spline trigonometric bases and their properties;
Sbornik: Mathematics; 192(7); 2001; 1053--1088;
% \MS: 192(7): 2001: 125--160:

%StrengWetterling94
% carl
\rhl{S}
\refJ Streng,  M., Wetterling, W.;
Chebyshev approximation of a point set by a straight line;
\CA; 10(2); 1994; 187--196;

%StrohmerHeath03
% shayne 06jun04
\rhl{}
\refJ Strohmer, T., Heath, R. W.;
Grassmannian frames with applications to coding and communication;
\ACHA; 14(3); 2003; 257--275;

%Strom92a
%
\rhl{S}
\refD Str{\o}m, K.;
Polynomials and polar forms;
University of Oslo, Norway; 1992;

%Strom93a
%
\rhl{S}
\refJ Str{\o}m, K.;
Products of B-patches;
\NA; 4; 1993; 323--337;

%Strom95a
\rhl{S}
\refJ Str{\o}m, K.;
B-splines with homogenized knots;
\AiCM; 3; 1995; 291--308;

%Stromberg83a
\rhl{S}
\refQ Str\"omberg,  J. O.;
 A modified Franklin system and higher-order
spline systems of $\RR^n$ as unconditional bases for Hardy spaces;
(Harmonic Analysis in honor of A.~Zygmund, Vol.~II),
W. Beckner et {al.\ } (eds.), Wadsworth Math.\ Series (xxx); 1983; 475--493;

%Stroud71a
% shayne 26oct95
\rhl{S}
\refB Stroud, A. H.;
Approximate calculation of multiple integrals;
Prentice-Hill Inc (Englewood Cliffs); 1971;
% standard reference

%StroudChenKWWangPLMaoZW71
% shayne 14may99
\rhl{S}
\refJ Stroud, A. H., Chen, Kwan-wei, Wang, Ping-lei, Mao, Zunkwang;
Some second and third degree harmonic interpolation formulas;
\SJNA; 8; 1971; 681--692;
% multivariate polynomial interpolation

%Studden71
% larry
\rhl{S}
\refQ Studden,  J. W.;
Optimal designs and spline regression;
(Optimizing Methods in Statistics), J. S. Rustagi (ed.),
Academic Press (New York); 1971; 63--76;

%StuddenVanarman69
% larry
\rhl{S}
\refJ Studden,  W. J., VanArman, D. J.;
Admissible designs for polynomial spline regression;
The Annals of Math.\ Stat.; 40; 1969; 1557--1559;

%Stumpf87
\rhl{S}
\refR Stumpf, J.;
Oberfl\"achendarstellung durch Boxsplines;
Diplomarbeit, Universit\"at W\"urzburg; 1987;

%Sturge86
% carl
\rhl{S}
\refP Sturge,  D. P.;
Improvements to parametric bicubic surface patches;
\SurfacesI; 47--58;

%Su86
% larry
\rhl{S}
\refD Su, Jin-hau;
The properties of 1D and 2D approximation by a class of piecewise cubic
splines;
University of New Mexico; 1986;

%SuLiu83a
% . 5dec96
\rhl{S}
\refJ Su, B., Liu, D.;
An affine invariant theory and its application in computational geometry;
Scientia Sinica (A); 26(3); 1983; 259--272;

%Subbotin65
% larry
\rhl{S}
\refJ Subbotin, Ju.\ N.;
On the relations between finite differences and the corresponding
derivatives;
Proc.\ Steklov Inst.\ Math.; 18; 1965; 23--42;
% English transl. by Amer.Math.Soc.: 1967; 23--42:

%Subbotin67a
% larry
\rhl{S}
\refJ Subbotin, Ju.\ N.;
Best approximation of a class of functions by another class;
\MaZ; 2; 1967; 495--504;

%Subbotin67b
% carl 7sep95
\rhl{S}
\refJ Subbotin, Y. N.;
On piecewise-polynomial (spline) interpolation;
\MaZ; 1; 1967; 63--70;
% transl: Math.\ Notes, 1, 1967, 41--46,
% first reference to quadratic spline interpolation at midpoints between knots,
% albeit only analysed in cardinal case, but for arbitrary odd-order 
% (even degree).

%Subbotin69
\rhl{S}
\refJ Subbotin,  Yu.\ N.;
Interpolation by functions with $n$-th derivative of
  minimum norm;
Proc.\  Steklov Inst.\  Math.; 88; 1969; 31--63;

%Subbotin70
% larry
\rhl{S}
\refJ Subbotin, Ju.\ N.;
Diameter of a class $W^rL$ in L(0,2$\pi$) and spline function
approximation;
\MaZ; 7; 1970; 43--52;

%Subbotin70b
% larry
\rhl{S}
\refJ Subbotin, Ju.\ N.;
Approximation of functions of class $W^kH^p_{\omega}$ by m-order splines;
Soviet Math.\ Dokl.; 11; 1970; 1626--1628;

%Subbotin70c
% larry
\rhl{S}
\refJ Subbotin, Ju.\ N.;
Linear method for the approximation of differentiable functions;
\MaZ; 7; 1970; 423--430;

%Subbotin71
% larry
\rhl{S}
\refJ Subbotin, Ju.\ N.;
A relation between spline approximation and the problem of the
approximation of one class by another;
Math.\ Notes; 9; 1971; 289--294;

%Subbotin71b
% larry
\rhl{S}
\refJ Subbotin, Ju.\ N.;
Approximation by spline functions and estimates of diameters;
Proc.\ Steklov Inst.\ Math.; 109; 1971; 39--67;

%Subbotin72
% larry
\rhl{S}
\refP Subbotin, Ju.\ N.;
Applications of splines in the theory of approximation (Russian);
\ButzerI; 405--418;

%Subbotin74
% larry
\rhl{S}
\refJ Subbotin,  Y. N.;
Extremal functional interpolation and
  approximation by splines;
Soviet Math.\ Dokl.; 15; 1974; 57--60;

%Subbotin75
\rhl{S}
\refR Subbotin, Ju.\ N.;
Interpolating splines;
in Approximation Theory, Z. Ciesielski and J. Musielak, eds., Polish
Scientific Publishers, Warszawa, 221-234; 1975;

%Subbotin83
\rhl{S}
\refQ Subbotin,  Yu.\ N.;
Spline-approximation;
(Theory of Functions and Approximation, part 1 [Saratov, 1982]), xxx (ed.),
Saratov Gosud.\ Univ., Saratov (USSR); 1983; 81--90;

%Subbotin89a
% shayne 21feb96
\rhl{S}
\refJ Subbotin, Yu. N.;
The error in multidimensional piecewise polynomial approximation;
Proc.\ Steklov Inst.\ Math.; 180(3); 1989; 246--248;
% error estimates for polynomial interpolation in the max norm

%Subbotin90a
% author, shayne 20feb96
\rhl{S}
\refJ Subbotin, Yu. N.;
Dependence of estimates of a multidimensional piecewise-polynomial 
approximation on the geometric characteristics of the triangulation;
Proc.\ Steklov Inst.\ Math.; 189(4); 1990; 135--159;

%Subbotin90b
% shayne 20feb96
\rhl{S}
\refJ Subbotin, Yu. N.;
Error of the approximation by interpolation polynomials of small degrees on
   $n$-simplices (Russian);
\MaZ; 48(4); 1990; 88--98;

%Subbotin90c
% shayne 20feb96
\rhl{S}
\refJ Subbotin, Yu. N.;
Error of the approximation by interpolation polynomials of small degrees on
   $n$-simplices;
\MN; 48(4); 1990; 1030--1037;
% English translation of Subbotin90b. Other translation of the title:
%   The error of approximation by polynomials of small degree
%   interpolating on $n$-simplices

%Subbotin92a
% author, carl 20feb96
\rhl{S}
\refJ Subbotin, Yu.;
Dependence of estimates of approximation by interpolation
   polynomials of fifth degree on geometric properties of the triangle;
Trudy Instituta Mathem.\ and Mechan., Russian Acad.\ Sci, Ural Branch,
   Ekaterinburg; 2; 1992; 110--119;

%Subbotin96a
% carl 5dec96
\rhl{S}
\refJ Subbotin, Yu. N.;
Some extremal problems of interpolation and interpolation in the mean;
\EJA; 2(2); 1996; 155--167;
% the problem solved: for given  $y \in \RR^\ZZ$ and given $n$ and $M$,
%  determine
% $\sup_{\norm{\Delta^n y}_p\le M} \inf_{\Lambda f=y} \norm{D^nf}_p$
% with $\Lambda f := (\lambda f(\cdot + k) : k \in \ZZ)$ and
% $\lambda f := \int_{-h}^h f/(2h)$.

%SubbotinChernykh70
% larry
\rhl{S}
\refJ Subbotin,  Y. N., Chernykh, N. I.;
Order of the best spline approximations of some classes of
 functions;
Math.\ Notes; 7; 1970; 20--26;

%SubbotinTaikov68
% larry
\rhl{S}
\refJ Subbotin, Ju.\ N., Taikov, L. V.;
Best approximation of a differentiation operator in $L_2$-space;
\MaZ; 3; 1968; 157--164;

%SubbotinXX
\rhl{S}
\refR Subbotin,  Y. N.;
Piecewise polynomial interpolation;
Poisk.\ Extremma.\  Tomskii Inst., Tomsk 248; 19xx;

%Suffern84
\rhl{S}
\refJ Suffern,  K. G.;
Contouring functions of two variables;
Austral.\ Computer J.; 16; 1984; 102--106;

%Sugihara02
% carl 20nov03
\rhl{}
\refP Sugihara, K.;
Voronoi Diagrams;
\Cagdhand; 429--450;

%Sugihara86
\rhl{S}
\refB Sugihara,  K.;
The Machine Interpretation of Line Drawings;
MIT Press Series on Artificial Intelligence, MIT Press (Cambridge); 1986;

%SuhLeexx
\rhl{S}
\refR Suh, Y. S., Lee, K.;
N.C.\ milling tool path generation of arbitrary pockets defined by
sculptured surfaces;
Seoul National University; 19xx;

%Sukhorukova06
% .
\rhl{}
\refR Sukhorukova, Nadezhda;
Uniform approximation by polynomial splines of the highest defect: necessary
and sufficient optimality conditions and their generalizations;
ms; 2006;
% characterization of a best approximant in the uniform norm from a space of
% continuous piecewise polynomials of possibly different degrees in different
% break intervals. Generalizes Tarashnin96

%Sun80
\rhl{S}
\refJ Sun,  D. X.;
On the existence and uniqueness theorems for cubic splines;
Numer.\ Math.\  Sinica; 2; 1980;  65--74;

%Sun81
\rhl{S}
\refJ Sun,  D. X.;
A cubic spline interpolation with convexity;
Numer.\ Math.\  J.  Chinese Univ.; 3; 1981; 370--372;

%SunJ86
\rhl{S}
\refJ Sun,  Jia-chang;
The approach of Fourier transform to multivariate B-splines;
Math.\ Numer.\ Sin.; 8; 1986; 191--199;

%SunJ99
\rhl{S}
\refR Sun, Jia-chang;
A remark on the local dimension of the bivariate spline space with
multiple grid segments (Chinese);
Computing Center, Academia Sinica; 1999;

%SunJ99b
\rhl{S}
\refR Sun, Jia-chang;
Dual spline interpolation (I), (II);
Zhongshan University, Guangzhou, People's Republic of China; 1999;

%SunJ99c
\rhl{S}
\refR Sun, Jia-chang;
Generalized splines in local coordinates (Chinese);
Computing Center, Academia Sinica; 1999;

%SunJZhao87a
% larry 20jun97
\rhl{S}
\refJ Sun, Jiachang, Zhao, Kang;
On the structure of B\'ezier nets;
\JCM; 5; 1987; 376--383;

%SunLiu93
% carl
\rhl{S}
\refJ Sun, Yongsheng, Liu, Yongping;
Optimal recovery of the Sobolev-Wiener class of smooth functions by double
   sampling;
\CA; 9 (4); 1993; 391--405;

%SunQ96a
% hogan 5dec96 29apr97
\rhl{S}
\refJ Sun, Qiyu;
Refinable functions with compact support;
\JAT; 86; 1996; 240--252;

%SunQY93
% amos 20apr00
\rhl{Sun92}
\refJ Sun, Qiyu;
A note on the integer translates of a compactly supported distribution on
   $\RR$; 
Arch.{} Math.; 60; 1993; 359--363;

%SunW98
% carl
\rhl{S}
\refJ Sun, W.;
Fast algorithms for high-order spline collocation systems;
\NM; 81; 1998; 143--160;
% almost block diagonal, $C^1$-splines, B-splines, semicardinal,
% eigenvalues of the collocation matrix

%SunWW95
% author 07may96
\rhl{S}
\refJ Sun, Weiwei;
Iterative algorithm for orthogonal spline collocation linear systems;
\SJSC; 16; 1995; 720--737;

%SunX89
% larry
\rhl{S}
\refP Sun,  Xingping;
On the solvability of radial function interpolation;
\TexasVI; 643--646;

%SunX90
% author
\rhl{S}
\refD Sun,  Xingping;
Multivariate interpolation using ridge or related functions;
The University of Texas at Austin, August; 1990;

%SunX92
% carl
\rhl{S}
\refJ Sun,  Xingping;
Norm estimates for inverses of Euclidean distance matrices;
\JAT; 70(3); 1992; 339--347;
% preprint 1990.

%SunX93
% carl
\rhl{S}
\refJ Sun,  Xingping;
Solvability of multivariate interpolation by radial or related functions;
\JAT; 72(3); 1993; 252--267;

%SunX94
% . 29apr97
\rhl{S}
\refJ Sun, Xingping;
Cardinal Hermite interpolation using positive definite functions;
\NA; 7; 1994; 253--268;

%SunX99a
\rhl{S}
\refR Sun,  X.;
Cardinal and scattered-cardinal interpolation by functions having
non-compact support; 
\CMA; to appear;

%SunX99b
\rhl{S}
\refR Sun,  X.;
Ridge function spaces and their interpolation property; 
\JMAA; to appear; 

%SunXCheney92
% sherm, update vol, pagination 02feb01
\rhl{S}
\refJ Sun, Xingping, Cheney, E. W.;
The fundamentality of sets of ridge functions;
\AeM; 44(2-3); 1992; 226--235;

%SunXCheney97
% carl 29apr97
\rhl{S}
\refJ Sun, Xingping, Cheney, E. W.;
Fundamental sets of continuous functions on spheres;
\CA; 13(2); 1997; 155--176;

%Sundermann80
% . 21nov08
\rhl{S}
\refR Sundermann, B.;
Lebesgue constants in Lagrangian interpolation at the Fekete points;
Ergebnisbericht der Lehrst\"uhle Math III und VIII, Nr.~44, U. Dortmund
(Germany);  1980;
% see Sundermann83

%Sundermann83
% . 21nov08
\rhl{S}
\refJ Sundermann, B.;
Lebesgue constants in Lagrangian interpolation at the Fekete points;
Mitt.\ Math.\ Ges.\ Hamburg; 11; 1983; 204--211;
% see Sundermann80

%Sundermann84
% .
\rhl{S}
\refJ Sundermann, B.;
On projection constants of polynomial spaces in the unit ball in several
variables;
\MZ; 188; 1984; 111--117;
% best Lebesgue constant for interpolation by polynomials of degree $\le k$ 
% on a 2-ball in $\RR^d% is of the exact order $k^{(d-1)/2)}$.
% Contrast this with the 1-ball and the $\infty$-ball, where it is likely to
% be of order $(\log k)^d$.
%Sunkel77
\rhl{S}
\refR S\"unkel, H.;
Lokale Interpolation von Schweredaten durch Spline-Funktionen;
Alpengravimetrie-Kolloquium in Wien; 1977;

%Sutcliffe80
\rhl{S}
\refP Sutcliffe,  D. C.;
Contouring over rectangular and skewed rectangular grids---an introduction;
\Brodlie; 39--62;

%Swartz68
% larry
\rhl{S}
\refJ Swartz,  B. K.;
${\cal O}(h^{2n+2-l})$ bounds on some spline interpolation errors;
\BAMS; 74; 1968;  1072--1078;

%Swartz70
% larry
\rhl{S}
\refD Swartz,  B. K.;
${\cal O}(h^{k-j}\omega(D^k f(h))$ bounds on some spline interpolation
errors; New York Univ.; 1970;

%Swartz86
\rhl{S}
\refR Swartz, B.;
Conditioning collocation and, compact schemes as well;
Los Alamos National Laboratory; 1986;

%Swartz88
% carl
\rhl{S}
\refJ Swartz,  B.;
Conditioning collocation;
\SJNA; 25; 1988; 124--147;
% pp vs B in solving ODE by collocation

%Swartz89
% Blair Swartz 07may96
\rhl{S}
\refJ Swartz, B.;
The second-order sharpening of blurred smooth borders;
\MC; 52; 1989; 675--714;

%SwartzVarga72
% sonya
\rhl{S}
\refJ Swartz,  B. K., Varga, R.;
Error bounds for spline and $L$-spline interpolation;
\JAT; 6; 1972; 6--49;

%SwartzVarga73
% larry
\rhl{S}
\refJ Swartz,  B. K., Varga, R.;
A note on lacunary interpolation by splines;
\SJNA; 10; 1973;  443--447;

%Swarztrauber70
% . 07may96
\rhl{S}
\refJ Swarztrauber, P. N.;
On the approximation of discrete scalar and vector functions on the sphere;
\SJNA; 7; 1970; 934--949;

%Sweeney84
% larry
\rhl{S}
\refD Sweeney,  Michael A. J.;
The Waterloo CGL Ray Tracing Package;
Department of Computer Science, University of Waterloo;
1984;

%SweldensPiessens94
% carl
\rhl{S}
\refJ Sweldens, Wim, Piessens, Robert;
Asymptotic error expansion of wavelet approximations of smooth functions II;
\NM; 68; 1994; 377--401;
% spline wavelets, Euler polynomials, Bernoulli polynomials, monowavelets

%Sylvester82
% carl 20nov03
\rhl{}
\refJ Sylvester, J. J.;
Sur les puissances et les racines de subtitutions lin\'aires;
\CRASP; 94; 1882; 55--59;
% divided difference???
% BulirschRutishauser68(p.242) cite this for Opitz' formula (of Opitz64).
% However, the paper only contains the unproved claim that,
% for an arbitrary matrix A of order n with simple eigenvalues
% \gl_1,\ldots,\gl_n and for an arbitrary integer r ,
% A^r = \sum_{j=1}^n \gl_j^r\ell_j(A), with \ell_j the pols
% appearing in the Lagrange form based on the \gl_j.
% But this is a ready consequence of the Cayley-Hamilton theorem since
% for any pol p, p = P_{lambda_1,...,lambda_n}p + charf_A q for some
% pol q, with \charf_A the characteristic pol of A.

%Synge57
% . 20apr00
\rhl{S}
\refB Synge, J. L.;
The Hypercircle in Mathematical Physics;
Cambridge University Press (UK); 1957;
% taken up and extended greatly by GolombWeinberger59

%Szabados92
% carl
\rhl{S}
\refJ Szabados,  J.;
The exact error of trigonometric interpolation for differentiable functions;
\CA; 8; 1992; 203--210;

%SzabadosVertesi90a
% carl 20feb96
\rhl{S}
\refB Szabados, J., V\'ertesi, P.;
Interpolation of Functions;
World Scientific (Singapore); 1990;
% Lagrange, Erd\"os, Lebesgue function, Lebesgue constant, 
% polynomial interpolation, divergence, Hermite-Fej\'er,
% lacunary interpolation

%Szego59a
% shayne 26oct95
\rhl{S}
\refB Szeg\"o, G.;
Orthogonal polynomials;
AMS (Providence RI); 1959;
% standard book on orthogonal polynomials

%SzilvasiNagyVendel00
% . 16aug02
\rhl{}
\refJ Szilvasi-Nagy, M., Vendel, T. P.;
Generating curves and swept surfaces by blended circles;
\CAGD; 17; 2000; 197--206;