%Faber1914
% . 10nov97
\rhl{F}
\refJ Faber, G.;
\"Uber die interpolatorische Darstellung stetiger Funktionen;
Jahresber.\ Deutschen Math.\ Ver.; 23; 1914; 190--210;
% The norm on C[a..b] of the projector of interpolation from $\Pi_n$
% at an arbitrary $n+1$-set in $[a..b]$ is at least $(\ln n)/12$.

%Fabian1985
% author 20jun97
\rhl{F}
\refJ Fabian, Vaclav;
Spline estimation of non-parametric regression functions, with
   error measured by the supremum norm;
Prob.\ Th.\ Rel.\ Fields; 85; 1990; 57--64;

%Fabian1988a
% carl
\rhl{F}
\refJ Fabian,  V\'aclav;
Polynomial estimation of regression functions with the supremum norm error;
Ann.\ Statistics; 16(4); 1988; 1345--1368;
% good interpolation

%Fabian1990a
% carl
\rhl{F}
\refJ Fabian,  V\'aclav;
Complete cubic spline estimation of non-parametric regression functions;
Probab.\ Th.\ Rel.\ Fields; 85; 1990; 57--64;

%FackerellLittler1974
% shayne 16mar01
\rhl{}
\refJ Fackerell, E. D., Littler, R. A. ;
Polynomials biorthogonal to Appell's polynomials;
Bull.\ Austral.\ Math.\ Soc.\ ; 11; 1974; 181--195;

%Fair1986
\rhl{F}
\refR Fair,  W.;
Geometric interpolation;
XXX; 1986;

%Fairweather1994
% author 23jun03
\rhl{}
\refJ Fairweather, G.;
Spline collocation methods for a class of hyperbolic partial
   integro-differential equations;
\SJNA; 31; 1994; 444--460;

%FairweatherMeade1989
% . 22may98
\rhl{F}
\refQ Fairweather, G., Meade, D.;
A survey of spline collocation methods for the numerical solution of
   differential equations;
(Mathematics for Large Scale Computing), J. C. Diaz (ed.), Lecture Notes in
Pure and Applied Mathematics, vol.~120, Marcel Dekker (New York); 1989;
297--341;

%Falconer1971
\rhl{F}
\refR Falconer,  K. J.;
A general purpose algorithm for contouring
 over scattered data points;
NPL DNAC Rpt.\ 6; 1971;

%FanTausskyTodd1954a
% shayne 05feb96
\rhl{F}
\refJ Fan, K., Taussky, O., Todd, J.;
Discrete analogs of inequalities of Wirtinger;
Monatsh.\ Math.; 59; 1954; 73--90;

%Farin1977
\rhl{F}
\refR Farin,  G.;
Konstruktion und Eigenschaften von B\'ezier-Kurven und B\'ezier Fl\"achen;
Diplom-Arbeit, Univ.\ Braunschweig; 1977;

%Farin1979
% larry
\rhl{F}
\refD Farin,  G.;
Subsplines \"uber Dreiecken;
Braunschweig; 1979;

%Farin1980
\rhl{F}
\refR Farin,  G.;
B\'ezier polynomials over triangles and the construction of piecewise
$C^r$ polynomials;
TR/91; 1980;

%Farin1982
% larry, carl
\rhl{F}
\refJ Farin, Gerald;
Designing $C^1$ surfaces consisting of triangular
cubic patches;
\CAD; 14(5); 1982; 253--256;
% computer-aided design.

%Farin1982b
% carl
\rhl{F}
\refJ Farin, Gerald E.;
Visually $C^2$ cubic splines;
\CAD; 14(3); 1982; 137--139;
% computer-aided design, $C^2$ curves.

%Farin1982c
\rhl{F}
\refJ Farin,  G.;
A construction for the visual $C^1$ continuity of polynomial surface
patches;
Computer Graphics Image Proc.; 20; 1982; 272--282;

%Farin1983
% larry, carl
\rhl{F}
\refJ Farin, Gerald E.;
Algorithms for rational B\'ezier curves;
\CAD; 15(2); 1983; 72--77;
% recursion.

%Farin1983b
\rhl{F}
\refP Farin,  G.;
Smooth interpolation to scattered 3D data;
\CagdI; 43--64;

%Farin1985
% greg
\rhl{F}
\refJ Farin,  G. E.;
A modified Clough-Tocher interpolant;
\CAGD; 2; 1985; 19--27;

%Farin1986
% greg
\rhl{F}
\refJ Farin,  G.;
Triangular Bernstein-B\'ezier patches;
\CAGD; 3; 1986; 83--127;

%Farin1986b
% larry, carl
\rhl{F}
\refJ Farin, Gerald;
Piecewise triangular $C^1$ surface strips;
\CAD; 18(1); 1986; 45--47;
% geometry, Bernstein-B\'ezier triangular patches,
% Coon patches, bicubic patches.

%Farin1987
\rhl{F}
\refB Farin,  G. (ed.);
Geometric Modelling;
SIAM (Philadelphia); 1987;

%Farin1988a
% larry
\rhl{F}
\refB Farin, G.;
Curves and Surfaces for Computer Aided Geometric Design;
Academic Press (NY); 1988;
% Farin90a

%Farin1989a
% larry
\rhl{F}
\refP Farin,  G.;
Rational curves and surfaces;
\Oslo; 215--238;

%Farin1989b
% author 20nov03
\rhl{F}
\refJ Farin,  G.;
Surfaces over Dirichlet tessellations;
\CAGD; 7(1-4); 1989; 281--292;

%Farin1990a
% carl 02feb01
\rhl{F}
\refB Farin, G.;
Curves and Surfaces for Computer Aided Geometric Design, Second Edition; 
Academic Press (NY); 1990;
% Farin88a

%Farin1991
% carl
\rhl{F}
\refB Farin,  G.;
NURBS for Curve and Surface Design;
SIAM (Philadelphia); 1991;
% e.g., Gregory patch

%Farin1994
% larry
\rhl{F}
\refP Farin, G.;
Projective blossoms and derivatives;
\ChamonixIIa; 147--152;

%FarinBarry1986
% author
\rhl{F}
\refJ Farin, G., Barry, P. J.;
A link between B{\'e}zier and Lagrange curve and surface schemes;
\CAD; 18; 1986; 525--528;

%FarinHoschekKim2002
% Klaus Hollig 23jun03
\rhl{}
\refB Farin, G., Hoschek, J., Kim, M. S.;
Handbook of Computer Aided Geometric Design;
Elsevier (Amsterdam); 2002;
% Finite Element Approximation with Splines
% K. Hollig, pp. 283--308
% Overview of weighted meshless approximations with 
% B-Splines, cf. the book "Finite Element Methods with
% B-Splines", K. Hollig, SIAM 2003, for a comprehensive
% discussion. 

%FarinPiperWorsey1987a
% greg
\rhl{F}
\refJ Farin,  G., Piper, B., Worsey, A.;
The octant of a sphere as a
nondegenerate triangular B\'ezier patch;
\CAGD; 4; 1987; 329--332;

%FarinReinSapidisWorsey1987
% greg
\rhl{F}
\refJ Farin,  G., Rein, G., Sapidis, N., Worsey, A. J.;
Fairing cubic B-spline curves;
\CAGD; 4; 1987; 91--103;

%FarinSapidis1989
% carl
\rhl{F}
\refJ Farin, Gerald, Sapidis, Nickolas;
Curvature and the fairness of curves and surfaces;
\ICGA; 9(2); 1989; 52--57;

%FarkasRevesz2007
% carl 05mar08
\rhl{FR}
\refR Farkas, B\'alint, Revesz, Szilard Gy.;
Positive bases in spaces of polynomials;
arXiv: 0708.2883, 21aug; 2007;
% given subset D of \RR and an integer n, what is the maximal dimension of a
% subspace of \Pi_n\restrict{D} that has a basis strictly positive on D.

%FarmerLaiMJ1998
% mjlai 20apr99
\rhl{F}
\refP Farmer, K. W., Lai, M. J.;
Scattered Data Interpolation by $C^2$
   Quintic Splines Using Energy Minimization;
\TexasIXc; 47--54;

%Farouki1986
% greg
\rhl{F}
\refJ Farouki,  R. T.;
The approximation of non-degenerate offset surfaces;
\CAGD; 3; 1986; 15--43;

%Farouki1989
\rhl{F}
\refR Farouki,  R. T.;
Computing with barycentric polynomial forms;
IBM Watson Research Center; xxx;

%Farouki1991a
% .
\rhl{F}
\refP Farouki,  R. T.;
Pythagorean-hodograph curves in practical use;
\Barnhillnion;  3--33;

%Farouki2000
% larry 20apr00
\rhl{}
\refP Farouki, Rida T.;
Curves from motion, motion from curves;
\Stmalod; 63--90;

%Farouki2000b
% shayne
\rhl{}
\refJ Farouki, R. T.;
Legendre--Bernstein basis transformations;
\JACM; 119(1--2); 2000; 145--160;

%FaroukiChastang1990a
\rhl{F}
\refR Farouki,  R. T., Chastang, J.--C. A.;
Evolving wavefronts as algebraic curves;
IBM Research Report RC16381; 1990;

%FaroukiGoodman1996
% carl  02feb01
\rhl{}
\refJ Farouki, R. T., Goodman, T. N. T.;
On the optimal stability of the Bernstein basis;
\MC; 65(216); 1996; 1553--1566;
% introduces condition number 
% $C_\Phi(\sum_j c_j\phi_j,t):= \sum_j |c_j||\phi_j(t)|$
% (well, they write it $C(\sum_j c_j\phi_j(t))$) and show that
% for the polynomials of degree $<n$, as functions on [0 .. 1],
% $C_\Phi$ is minimal, pointwise, over all bases $\Phi$ whose elements
% are nonnegative when $\Phi$ is the Bernstein basis.
% cf CarnicerPena96

%FaroukiGoodmanSauer2003a
% shayne
\rhl{}
\refJ Farouki, R. T., Goodman, T. N. T., Sauer, T.;
Construction of orthogonal bases for polynomials in Bernstein form on 
   triangular and simplex domains;
 \CAGD; 20(4); 2003; 209--230;

%FaroukiNeff1989
\rhl{F}
\refR Farouki, R. T., Neff, C. A.;
On the numerical condition of Bernstein--B\'ezier subdivision processes;
MC; 1989;

%FaroukiNeff1990b
% greg
\rhl{F}
\refJ Farouki,  R. T., Neff, C. A.;
Algebraic properties of plane offset curves;
\CAGD; 7; 1990; 101--127;

%FaroukiNeff1990c
% greg
\rhl{F}
\refJ Farouki,  R. T., Neff, C. A.;
Analytic properties of plane offset curves;
\CAGD; 7; 1990; 83--99;

%FaroukiNeffOConnor1988
\rhl{F}
\refR Farouki,  R. T., Neff, C. A., O'Connor, M. A.;
Automatic parsing of degenerate quadri-surface intersections;
\ACMTG; 1988;

%FaroukiRajan1988
\rhl{F}
\refR Farouki,  R. T., Rajan, V. T.;
On the numerical condition of algebraic curves and surfaces, 1. Implicit
equations;
IBM; 1988;

%FaroukiRajan1988b
% greg
\rhl{F}
\refJ Farouki,  R. T., Rajan, V. T.;
Algorithms for polynomials in Bernstein form;
\CAGD; 5; 1988; 1--26;

%FaroukiSakkalis1990a
\rhl{F}
\refJ Farouki,  R. T., Sakkalis, T.;
Pythagorean hodographs;
IBM Journal of Research and Development;  34; 1990; 736--752;

%FaroukiSakkalis1991a
% greg
\rhl{F}
\refJ Farouki,  R. T., Sakkalis, T.;
Real rational curves are not `unit speed';
\CAGD; 8; 1991; 151--157;

%FaroukiSakkalis1999b
\rhl{F}
\refJ Farouki,  R. T., Sakkalis, T.;
Pythagorean hodographs;
\IBMJRD; xxx; to appear; xxx;

%Farwig1983
\rhl{F}
\refR Farwig,  R.;
Mehrdimensionale abgeschnittene Potenzen und B-Splines;
Rpt.\ 597, Univ.\ Bonn; 1983;

%Farwig1984
\rhl{F}
\refR Farwig,  R.;
Multivariate interpolation of arbitrarily spaced data by moving least
squares methods;
Rpt.\ 676, Univ.\ Bonn; 1984;

%Farwig1985a
\rhl{F}
\refR Farwig,  R.;
Rate of convergence of moving least squares interpolation methods;
Rpt.\ 725, Univ.\ Bonn; 1985;

%Farwig1985b
% carl
\rhl{F}
\refJ Farwig,  R.;
Multivariate truncated powers and B-splines with coalescent knots;
SJNA; 22; 1985; 592--603;

%Farwig1986
% larry, carl
\rhl{F}
\refJ Farwig, Reinhard;
Rate of convergence of Shepard's global interpolation formula;
\MC; 46(174); 1986; 577--590;
% multivariate interpolation.

%Fasshauer1997
% larry 10sep99
\rhl{F}
\rhl{F}
\refP Fasshauer, G. E.;
Solving partial differential equations by collocation with radial
basis functions;
\ChamonixIIIb; 131--138;

%FasshauerSchumaker1996a
\rhl{}
% larry
\refJ Fasshauer, G., Schumaker, L. L.;
Minimal energy surfaces using parametric splines;
\CAGD; 13; 1996; 45--79;

%FasshauerSchumaker1996b
\rhl{}
% larry
\refP Fasshauer, G., Schumaker, L. L.;
Scattered data fitting on the sphere;
\Lillehammer; 117--166;

%FasshauerZhangJG2004
% carlref 03apr06
\rhl{}
\refP Fasshauer, G. E., Zhang, J. G.;
Recent results for moving least squares approximation;
\Seattle; 163--176;

%FasslerStiefel1992a
% shayne 26oct95
\rhl{F}
\refB F\"assler, A., Stiefel, E.;
Group theoretical methods and their applications;
Birkh\"auser (Basel); 1992;
% doesn't discuss symmetries of linear functionals. 

%FaulPowell1998
% carl 24mar99
\rhl{F}
\refR Faul, A. C.,  Powell, M. J. D.;
Proof of convergence of an iterative technique for thin plate spline
   interpolation in two dimensions;
DAMPTP report 1998/NA8, Cambridge (England); 1998;

%FauxPratt1979
% carl
\rhl{F}
\refB Faux,  Ivor D., Pratt, Michael J.;
Computational Geometry for Design and Manufacture;
Ellis Horwood (Chichester); 1979;

%Favard1940
\rhl{F}
\refJ Favard,  J.;
Sur l'interpolation;
J.  Math.\  Pures Appl.; 19; 1940; 281--306;

%Favard1949
\rhl{F}
\refJ Favard,  J.;
Sur l'approximation dans les espaces vectoriels;
Annali di Mat.Pura Appl.; 29; 1949; 259--291;

%Fawzy1977b
% larry
\rhl{F}
\refJ Fawzy,  Th.;
Spline functions and the Cauchy problems, IV;
Acta Math.\ Acad.\ Sci.\ Hung.; 30; 1977; 219--226;

%Fawzy1978
% larry
\rhl{F}
\refJ Fawzy,  Th.;
Spline functions and the Cauchy problems, III;
Ann.\ Univ.\ Sci.\ Budapest.; 1; 1978; 35--45;

%Fawzy1983
% larry
\rhl{F}
\refJ Fawzy,  Th.;
Spline approximation in $L^2$ space;
Ann.\ Univ.\ Sci.\ Budapest.; 26; 1983; 27--31;

%Fawzy1999
% .
\rhl{F}
\refR Fawzy,  Th.;
Notes on lacunary interpolation with splines
	 III,  (0, 2)--interpolation with quintic  g-splines;
XXX; XX;

%Fawzy1999b
% .
\rhl{F}
\refR Fawzy,  Th.;
An improved error of an arbitrary order for the approximate solution
of $y' = f(x,y)$ with spline functions;
XXX; XX;

%FawzyAhmed1984
\rhl{F}
\refR Fawzy,  Th., Ahmed, I. R.;
On the approximate solution of the DE $y'=f(x,y,y')$ with spline
functions;
XXX; 1984;

%FawzyHolail1987a
\rhl{F}
\refJ Fawzy, Th., Holail, F.;
Notes on lacunary interpolation with splines. IV. $(0,2)$ interpolation
   with splines of degree 6;
\JAT; 49(2); 1987; 110--114;

%FawzyHolail1999a
\rhl{F}
\refR Fawzy,  Th., Holail, F.;
Notes on lacunary interpolation with splines,
	 IV.  0, 2 interpolation with splines of degree 6;
XXX; XX;

%FawzyRamadan1999
% .
\rhl{F}
\refR Fawzy,  Th., Ramadan, Z.;
Arbitrary order methods for the approximate solution of systems of ordinary
differential equations with spline functions;
XXX; XX;

%FawzySchumaker1986
% larry
\rhl{F}
\refJ Fawzy,  T., Schumaker, L. L.;
A piecewise polynomial lacunary interpolation method;
\JAT; 48; 1986; 407--426;

%FayShoosmith1985
\rhl{F}
\refR Fay,  T., Shoosmith, J.;
Computational geometry and computer-aided design;
NASA; 1985;

%Federer1969a
% shayne 26oct95
\rhl{F}
\refB Federer, H.;
Geometric Measure Theory;
Springer-Verlag (Berlin); 1969;
% a good reference for multilinear algebra on normed linear spaces

%FeichtingerStrohmer1997
% amos 20apr00
\rhl{FS}
\refB Feichtinger, H. G., Strohmer, T.;
Gabor Analysis and Algorithms: Theory and Applications;
Birkh\"auser (Boston); 1997; 

%FeinermanNewman1974
% carl
\rhl{F}
\refB Feinermann,  R. P., Newman, D. J.;
Polynomial Approximation;
Williams and Wilkins Co. (Baltimore); 1974;

%Fejer1916
% . 
\rhl{F}
\refJ Fej\'er, L.;
\"Uber Interpolation;
G\"ottinger Nachrichten;  ; 1916; 66--91;

%Fejer1932
% . 29apr97
\rhl{F}
\refJ Fej\'er, L.;
Bestimmung derjenigen Abszissen eines Intervalles, f\"ur welche die
   Quadratsumme der Grundfunktionen der Lagrangeschen Interpolation im 
   Intervalle [-1,+1] ein m\"oglichst kleines Maximum besitzt;
Annali della Scuola Norm.\ sup.\ di Pisa; 1; 1932; 263--276;
% optimal nodes in polynomial interpolation; the function
% $\sum_{\gt\in\gT}\ell_tg^2$ has max-norm 1, taken on only on $\gT$.

%Fejer1932b
% . 
\rhl{F}
\refJ Fej\'er, L.;
Lagrangesche Interpolation und die zugeh\"origen konjugierten Punkte;
\MA; 106; 1932; 1--55;

%Fejer2000
% . 10nov97
\rhl{F}
\refJ Fej\'er, L.;
Sur les fonctions bornees et integrables;
\CRASP; 131; 1900; 984--987;
% convergence of the arithmetic means of the partial sums of the Fourier series

%Fekete1923
% carl 04mar10
\rhl{F23}
\refJ Fekete, M.;
\"Uber die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit
   ganzzahligen Koeffizienten;
\MZ; 17; 1923; 228--249;
% definition of transfinite diameter as the limit of the sequence $d_n:=
% V_n^{1/(n\choose2}}$, with $V_n:=max_{\#\gT=n}\det(\gd_\gT[()^j:j<n])$.

%Fekete1926
% . 04mar10
\rhl{F26}
\refJ Fekete, M.;
\"Uber Interpolation;
\ZAMM; 6; 1926; 410--413;

%Fekete1930a
% carl 04mar10
\rhl{F}
\refJ Fekete, M.;
\"Uber den transfiniten Durchmesser ebener Punktmengen;
\MZ; 32; 1930; 108--114;
% Fekete points

%Fekete1933a
% carl 04mar10
\rhl{F}
\refJ Fekete, M.;
\"Uber den transfiniten Durchmesser ebener Punktmengen (Zweite Mitteilung);
\MZ; 32; 1930; 215--221;
% Fekete points

%Fekete1933b
% carl 04mar10
\rhl{F}
\refJ Fekete, M.;
\"Uber den transfiniten Durchmesser ebener Punktmengen (Dritte Mitteilung);
\MZ; 37; 1933; 635--646;
%  shows that the transfinite diameter introduced in %Fekete23 is a set function
% characterized by 4 properties.

%Felten1996
% shayne 20jun97 16mar01
\rhl{F}
\refJ Felten, M.;
A smoothness concept for weighted $L^p$ spaces on $[-1,1]$;
Acta Sci.\ Math.\ (Szeged); 62; 1996; 217--230;

%Felten1997
% shayne 20jun97 16mar01
\rhl{F}
\refJ Felten, M.;
Characterisation of best algebraic approximation by an algebraic modulus
   of smoothness;
\JAT; 89; 1997; 1--25;

%Felten9x
% shayne 20jun97 02feb01 16mar01
\rhl{F}
\refJ Felten, M.;
A modulus of smoothness based on an algebraic addition;
\AeM; x; 199x; xxx-xxx;

%Feng1987
% LLS Lai-Schumaker book
\rhl{Fen87}
\refJ Feng, Y. Y.;
Rates of convergence of B\'ezier net over triangles;
\CAGD; 4; 1987; 245--249;

%FengChenZhou1994
% LLS Lai-Schumaker book
\rhl{FenCZ94}
\refJ Feng, Y. Y., Chen, F. L., Zhou, H. L.;
The invariance of weak convexity conditions of $B$-nets
  with respect to subdivision;
\CAGD; 11; 1994; 97--107;

%FengKozak1981
% . 20jun97
\rhl{F}
\refJ Feng,  Y. Y., Kozak, J.;
On the generalized Euler-Frobenius polynomial;
\JAT; 32; 1981; 327--338; 
% mrc tsr 2088

%FengKozak1982
% sonya
\rhl{F}
\refJ Feng,  Y. Y., Kozak, J.;
$L_\infty$  bound of $L_2$ projections onto splines on a
	 geometric mesh;
\JAT; 35; 1982;  64--76;

%FengKozak1988
% J. Kozak 14may99
\rhl{F}
\refJ Feng, Y. Y., Kozak, J.;
An approach to the interpolation of nonuniformly spaced data;
\JCAM; 23; 1988; 169--178;

%FengKozak1991
% kozak Lai-Schumaker book
\rhl{FenK91}
\refJ Feng, Y. Y., Kozak, J.;
The convexity of families of adjoint patches for a B\'ezier
   triangular surface;
\CM; 9; 1991; 301--304;

%FengKozak1992
% carl, shayne
\rhl{F}
\refJ Feng, Y. Y., Kozak, J.;
Asymptotic expansion formula for Bernstein polynomials defined on a simplex;
\CA; 8; 1992; 49--58;
% This work should have been referred to by %Goodman95a

%FengKozak1993
% J. Kozak 14may99
\rhl{F}
\refJ Feng, Y. Y., Kozak, J.;
The convexity of families of adjoint patches 
   for a B\'ezier triangular surface;
\JCM; 9; 1991; 301--304;
  
%FengKozak1994a
% J. Kozak 14may99
\rhl{F}
\refJ Feng, Y. Y., Kozak, J.;
Cutting corners preserves Lipschitz continuity;
Applied Mathematics - A Journal of Chinese Universities; 9; 1994; 31--34;
  
%FengKozak1994b
% J. Kozak 14may99
\rhl{F}
\refJ Feng, Y. Y., Kozak, J.;
On convexity and Schoenberg's variation diminishing splines;
Journal of China University of Science and Technology; 24; 1994; 129--134;

%FengKozak1996a
% J. Kozak 14may99
\rhl{F}
\refJ Feng, Y. Y., Kozak, J.;
On $G^2$ continuous interpolatory composite quadratic B\'ezier curves;
\JCAM; 72; 1996; 141--159;
  
%FengKozak1996b
% J. Kozak 14may99
\rhl{F}
\refJ Feng, Y. Y., Kozak, J.;
The theorem on the B-B polynomials defined on a simplex in the blossoming form;
\JCM; 14; 1996; 64--70;

%FengKozak1997
% J. Kozak 14may99
\rhl{F}
\refJ Feng, Y. Y., Kozak, J.;
On $G^2$ continuous cubic spline interpolation; 
\BIT; 37; 1997; 312--332;
  
%FengKozak1998
% J. Kozak 14may99
\rhl{F}
\refP Feng, Y. Y., Kozak, J.;
On spline interpolation of space data;
\Lillehammer;  167--174;
 
%FengKozakMing1996
% J. Kozak 14may99
\rhl{F}
\refP Feng, Y. Y., Kozak, J., Ming, Z.;
On the dimension of the $C^1$ spline space for the Morgan--Scott 
   triangulation from the blossoming approach;
\Montecatini; 71--86;
  
%FengKozakZhang1996
% kozak Lai-Schumaker book
\rhl{FenKZ96}
\refP Feng, Y. Y., Kozak, J., Zhang, M.;
On the dimension of the $C^1$ spline space for the
   Morgan--Scott triangulation from the blossoming approach;
\Montecatini; 71--86;

%FengQi1983
%  20jun97
\rhl{F}
\refJ Feng, Yuyu, Qi, Dong-Xu;
On the Haar and Walsh systems on a triangle;
\JCM; 1; 1983; 223--232;

%FengQi1984
%  20jun97
\rhl{F}
\refJ Feng, Yuyu, Qi, Dong-Xu;
A sequence of piecewise orthogonal polynomials;
\SJMA; 15; 1984; 834--844;

%FengRiesenfeld1978
% larry
\rhl{F}
\refJ Feng,  D. Y., Riesenfeld, R. F.;
A symbolic system for computer-aided
development of surface interpolants;
Software Practice \& Experience; 8; 1978; 461--481;

%FengRiesenfeld1980
% larry
\rhl{F}
\refJ Feng,  D. Y., Riesenfeld, R. F.;
Some new surface forms for computer-aided geometric design;
Computer J.; 23; 1980; 324--331;

%Ferguson1964
\rhl{F}
\refJ Ferguson,  J. C.;
Multivariable Curve Interpolation;
\JACM; II; 1964; 221--228;
% Rep. D2-22504, The Boeing Co., Seattle, WA, 1963.

%Ferguson1969
% kersey 26aug98
\rhl{F69}
\rhl{F}
\refJ Ferguson, D.;
The question of uniqueness for G. D. Birkhoff interpolation problems;
\JAT; 2; 1969;  1--28;

%Ferguson1975
% . 21jan02
\rhl{}
\refR Ferguson, D. R.;
Application of variable knot spline analysis to problems in event detection;
The Aerospace Corporation; 1975;
% free knot

%Ferguson1993
% carl
\rhl{F}
\refP Ferguson,  James C.;
F-methods for free-form curve and hypersurface definition;
\Piegl; 99--116;
% expository

%FergusonD1969
% . 29apr97
\rhl{F}
\refJ Ferguson, David;
The question of uniqueness for G. D. Birkhoff interpolation problems;
SIAM J. Control; 7; 1969; 1--28;

%FergusonD1973
% . 29apr97
\rhl{F}
\refR Ferguson, D. R.;
Sign change and minimal support properties of Hermite--Birkhoff splines with 
   compact support;
University of Southern California, Department of Mathematics, Preprint \#40;
1973;

%FergusonD1973b
% shayne 26oct95 29apr97
\rhl{F}
\refJ Ferguson, D.;
Sufficient conditions for Peano's kernel to be of one sign;
\SJNA; 10(6); 1973; 1047--1054;
% conditions for the Peano kernel associated with Hermite-Birkhoff
% interpolation to be of one sign

%FergusonD1986
\rhl{F}
\refR Ferguson,  D. R.;
Convexity preserving interpolation maps;
XXX; 1986;

%FergusonD1999
\rhl{F}
\refR Ferguson,  D. R.;
Local support bases for Hermite-Birkhoff splines;
XXX; 1999;

%FergusonDGrandine1990
% carl 29apr97
\rhl{F}
\refJ Ferguson,  D. R., Grandine, T. A.;
On the construction of surfaces interpolating curves: I. A method for handling
   nonconstant parameter curves;
\ACMTG; 9; 1990; 212--225;

%FergusonDJones1984
\rhl{F}
\refR Ferguson,  D. R., Jones, A. K.;
Parametric curve fitting with shape control;
Boeing; 1984;

%FergusonJ1964
\rhl{F}
\refJ Ferguson,  J.;
Multivariable curve interpolation;
J. Assoc.\ Comput.\ Mach.; 11; 1964; 221--228;

%FergusonJ1984
\rhl{F}
\refD Ferguson,  J. C.;
Shape preserving parametric curve interpolation;
New Mexico; 1984;

%Ferrand1967
\rhl{F}
\refR Ferrand,  C.;
Lisage par utilisation des fonctions analogues
	 aux fonctions splines;
Nancy; 1967;  14--31;

%Ferrar1926
% carl 21nov08
\rhl{F}
\refJ Ferrar, W. L.;
On the cardinal function of interpolation theory;
\PRSEA; 46; 1926; 323--333;

%Ferrar1927
% carl 21nov08
\rhl{F}
\refJ Ferrar, W. L.;
On the consistency of cardinal function interpolation;
\PRSEA; 47; 1927; 230--242;

%FerrariSilbermannSankar1988
\rhl{F}
\refR Ferrari,  L., Silbermann, M., Sankar, P.;
Efficient implementation of curves and surfaces using discrete B-splines;
XXX; 1988;

%Fiala1971a
% .
\rhl{}
\refJ Fiala, J.;
Interpolation with prescribed values of derivatives instead of function
   values;
Apl.\ Math.; 16; 1971; 421--430;
% HB-interpolation to one datum, either value or first derivative, at each site.

%Fickus2001
% shayne 21jan02
\rhl{}
\refD Fickus, M.;
Finite normalised tight frames and spherical equidistribution;
University of Maryland; 2001;

%Field1985
\rhl{F}
\refR Field,  D. A.;
Watson's Delaunay triangulation without a polygon;
GM; 1985;

%Field1986
% larry
\rhl{F}
\refR Field,  D. A.;
Implementing Watson's algorithm in three dimensions;
Proc.\ 2nd Annual Symposium on Computational Geometry, 246--259; 1986;

%Field1989
\rhl{F}
\refR Field,  D. A.;
A surface Delaunay triangulations algorithm;
GM; 1989;

%Figueiredo1975
% . 29apr97
\rhl{F}
\refR Figueiredo,  R. J. P. de;
Butterworth and Chebyshev splines;
MRC TSR 1327; 1975;

%FigueiredoCaprihan1977
\rhl{F}
\refQ Figueiredo,  R. J. P. de, Caprihan, A.;
An algorithm for the construction of the generalized smoothing spline
with;
(Information Sciences and Systems), xxx (ed.), John Hopkins (Baltimore MD); 
1977; xx;

%FigueiredoChen1988b
\rhl{F}
\refR Figueiredo,  R. J. P. de, Chen, G.;
$PDL_{g}$ splines defined by partial differential operators with inital and
boundary value conditions;
Rice; 1988;

%FigueiredoJan1971
\rhl{F}
\refQ Figueiredo,  R. J. P. de, Jan, Y. G.;
Spline filters;
(Second Symposium on Nonlinear Estimation Theory and Its Applications),
xxx (ed.), xxx (xxx); 1971; xx;

%FigueiredoNetravali1971
% larry
\rhl{F}
\refJ Figueiredo,  R. J. P. de, Netravali, A. N.;
Optimal spline digital simulators of analog filters;
IEEE Trans.\ Circuit Th.; 18; 1971; 711--717;

%FigueiredoNetravali1973
\rhl{F}
\refR Figueiredo,  R. J. P. de, Netravali, A. N.;
On the construction of minimum bandwidth functions from discrete data;
MRC 1328; 1973;

%FigueiredoNetravali1988
\rhl{F}
\refR Figueiredo,  R. J. P. de, Netravali, A. N.;
$PL_{-g}$ splines;
Rice; 1988;

%FigueiredoThompson1972
% sherm, pagination added, call number QA 402.3 S98
\rhl{F}
\refQ Figueiredo,  R. J. P. de, Thompson, J. R.;
Power spectral density estimation by splines smoothing in the frequency
domain;
(Third Symposium on Nonlinear Estimation Theory and Its Applications),
xxx (ed.), Western Periodicals Co.\ (N. Hollywood); 1972; 50--57;

%FiguereidoNetravali1974
% . 29apr97
\rhl{F}
\refJ Figuereido, R. J. P. de, Netravali, A. N.;
Spline approximation to the solution of the linear Fredholm integral equation
   of the second kind;
\SJNA; 11; 1974; 538--549;

%FigueroaPalusznyTovar2000
% larry 20apr00
\rhl{}
\refP Figueroa, G., Paluszny, M., Tovar, F.;
Curvature and tangency handles for control of convex cubic shapes;
\Stmalod; 91--98;

%FilipMagedsonMarkot1986a
% greg
\rhl{F}
\refJ Filip,  D., Magedson, R., Markot, R.;
Surface algorithms using bounds on derivatives;
\CAGD; 3; 1986; 295--311;

%FilippovOswald1995a
% carl 26oct95
\rhl{F}
\refJ Filippov, V. I., Oswald, P.;
Representation in $L_p$ by series of translates and dilates of one function;
\JAT; 82(1); 1995; 15--29;

%Filipsson2004
% carl 06jun04
\rhl{}
\refJ Filipsson, Lars;
Kergin interpolation in Banach spaces;
\JAT; 127(1); 2004; 108--123;

%Finch1999a
% Shayne 05feb96
\rhl{F}
\refR Finch, S.;
Favorite Mathematical Constants;
{{\tt http://pauillac.inria.fr/algo/bsolve/constant/constant.html}}; 1999;

%Fink1975
% shayne 19nov95
\rhl{F}
\refJ Fink, M. A.;
Differential inequalities and disconjugacy;
\JMAA; 49; 1975; 758--772;

%Fink1977a
% shayne 26oct95
\rhl{F}
\refJ Fink, A. M.;
Best possible approximation constants;
\TAMS; 226; 1977; 243--255;
% Uses the fact that best L_p-approximation by polynomials of fixed degree
% is achieved by Lagrange interpolation at some (unknown) set of points, to 
% derive estimates on the error in best approximation. This is the only known
% paper that deals with the error in Hermite interpolation, previous to the 
% work of Shadrin and Waldron on the subject, that recognises the key fact that
% the Peano kernel for the pointwise error in Hermite interpolation can be
% expressed as (a scalar multiple of) a B-spline. However, this observation is
% only used to show that the best constant in bounding the max norm of the 
% best approximation to f from polynomials of degree le n by ||D^{n+1}f||_q
% can be expressed as the minimisation-maximisation of an expression involving
% the q' norm of various B-splines (except in a few very trivial cases this
% norm can not be calculated).

%Fink74 
% shayne 19nov95
\rhl{F}
\refJ Fink, M. A.;
Conjugate inequalities for functions and their derivative;
\SJMA; 5(3); 1974; 399--411;

%FinkMitrinovicPecaric1991a
% shayne 19nov95 05feb96
\rhl{F}
\refB Fink, A. M., Mitrinovi\'c, D. S., Pe\v{c}ari\'c, J. E.;
Inequalities involving functions and their integrals and derivatives;
Kluwer Academic Publishers (Dordrecht); 1991;
% contains many results and references to inequalities such as those of
% Landau-Kolmogorov, Wirtinger, Opial, Hardy, Carleman, Hilbert, Lyapunov,
% de LaVall\'ee Poussin, Zmorovic, Carlson, Caplygin, Gronwall, 
% Bernstein-Mordell

%FiorotCattiauxHuillard1997
% larry 10sep99
\rhl{FC}
\rhl{F}
\refP Fiorot, J.-C.,  Cattiaux-Huillard, I.;
Uniform point distribution on a circle;
\ChamonixIIIa; 103--110;

%FiorotGensane1994
% larry
\rhl{F}
\refP Fiorot, J. C., Gensane, Th.;
Characterizations of the set of rational parametric curves with
rational offsets;
\ChamonixIIa; 153--160;

%FiorotJeannin1987
% author
\rhl{F}
\refJ Fiorot,  J. C., Jeannin, P.;
Nouvelle description et calcul des courbes rationnelles \`a l'aide de points
et vecteurs de contr\^ole;
\CRASP; 305, S\'erie I; 1987; 435--440;
% nurbs

%FiorotJeannin1990
% author
\rhl{F}
\refJ Fiorot,  J. C., Jeannin, P.;
Courbes splines rationnelles contr\^ol\'ees par un polygone massique;
\CRASP; 310, S\'erie I; 1990; 839--844;
% nurbs

%FiorotJeannin1994
% larry
\rhl{F}
\refP Fiorot, J. C., Jeannin, P.;
A necessary and sufficient condition for joining b-rational curves
with geometric continuity $G^3$;
\ChamonixIIa; 161--168;

%FiorotJeannin1997
% larry 10sep99
\rhl{FJ}
\rhl{F}
\refP Fiorot, J.-C., Jeannin, P.;
BR-form of an entire rational curve with a preassigned point;
\ChamonixIIIa; 111--118;

%FiorotSchiavon2000
% larry 20apr00
\rhl{}
\refP Fiorot, Jean-Charles, Schiavon, Laurent;
Monotonicity conditions of curvature for B\'ezier-de Casteljau curves;
\Stmalod; 99--108;

%FiorotTabka1988
\rhl{F}
\refR Fiorot,  J. C., Tabka, J.;
Shape preserving $C^2$ cubic polynomial splines;
XX; 1988;

%Fischer1992a
% carl
\rhl{F}
\refJ Fischer,  B.;
Chebyshev polynomials for disjoint compact sets;
\CA; 8; 1992; 309--329;

%Fischer1999
\rhl{F}
\refR Fischer,  T.;
Strong unicity and alternation for linear optimization;
Johann Wolfgang Goethe-Univ., Frankfurt, Germany; xxx;

%FischerBOpferPuri1986
\rhl{F}
\refR Fischer,  B., Opfer, G., Puri, M. L.;
Shape preserving interpolation with optimal nonnegative cubic splines;
Hamburg; 1986;

%FischerBOpferPuri1987
% . 12mar97
\rhl{F}
\refR Fischer,  B., Opfer, G., Puri, M. L.;
A local algorithm for constructing nonnegative cubic splines;
Hamburg; 1987;
% FischerBopferPuri91

%FischerBOpferPuri1991
% author 12mar97
\rhl{F}
\refJ Fischer,  B., Opfer, G., Puri, M. L.;
A local algorithm for constructing nonnegative cubic splines;
\JAT; 64; 1991; 1--16;

%FischerG1986a
\rhl{F}
\refB Fischer,  G.;
Mathematische Modelle;
Vieweg \& Sohn, Braunschweig \& Wiesbaden (xxx); 1986;

%FischerParpia1993
% larry
\rhl{F}
\refJ Fischer, C. F., Parpia, F. A.;
Accurate spline solutions of the radial Dirac equation;
Physics Letters; A 179; 1993; 198--204;

%FischerReichel1988
% carlrefs 20nov03
\rhl{}
\refR Fischer, Bernd, Reichel, Lothar;
Newton interpolation in Fej\'er and Chebyshev points;
Bergen Scientific Centre 88/24; 1988;

%FischerT1985
\rhl{F}
\refR Fischer,  T.;
A continuity condition for the existence of a continuous selection for a
set-valued mapping;
Frankfurt; 1985;

%FisherME1957
\rhl{F}
\refJ Fisher,  M. E.;
The optimum design of quarter-squares multipliers with segmented
characteristics;
J. Sci.\ Instruments; 34; 1957; 312--316;

%FisherMicchelli1980
% micchelli 26sep02
\rhl{FM}
\refJ Fisher, S., Micchelli, C. A.;
The $n$-width of sets of analytic functions;
\DMJ; 47; 1980; 789--801;

%FisherS1999
\rhl{F}
\refR Fisher,  S. D.;
Best approximation by polynomials;
XXX; xx;

%FisherS1999a
\rhl{F}
\refR Fisher,  S. D.;
Some nonlinear variational problems;
XXX; xx;

%FisherS1999b
\rhl{F}
\refR Fisher,  S. D.;
Splines as solutions to extremal and dual extremal problems;
XXX; xx;

%FisherS1999c
\rhl{F}
\refR Fisher,  S. D.;
Static and dynamic variational problems;
XXX; xx;

%FisherS1999d
\rhl{F}
\refR Fisher,  S. D.;
Quantitative approximation theory;
XXX; xx;

%FisherS1999e
\rhl{F}
\refR Fisher,  S. D.;
Solutions of some nonlinear variational problems in $L^\infty$ and the
problem of minimum curvature;
XXX; xx;

%FisherSJerome1974
% sonya
\rhl{F}
\refJ Fisher,  S. D., Jerome, J. W.;
Perfect spline solution to $L_\infty$  extremal problems;
\JAT; 12; 1974;  78--90;

%FisherSJerome1974b
% larry
\rhl{F}
\refJ Fisher,  S. D., Jerome, J. W.;
The existence, characterization and essential uniqueness of solution of
$L^\infty$ extremal problems;
\TAMS; 187; 1974;  391--404;

%FisherSJerome1975
% larry
\rhl{F}
\refJ Fisher,  S. D., Jerome, J. W.;
Elliptic variational problems in $L^2$ and $L^\infty$;
Indiana J. Math.; 23; 1975; 685--698;

%FisherSJerome1975a
\rhl{F}
\refB Fisher,  S. D., Jerome, J. W.;
Minimum Extremals in Function Spaces;
Lecture Notes in Mathematics 479, Springer (Heidelberg); 1975;
% the assertion, on page 175, that there is an error in [14.1] is incorrect;
% but then, they don't spell the author's name correctly either :-)

%FisherSJerome1975b
% sonya
\rhl{F}
\refJ Fisher,  S. D., Jerome, J. W.;
Spline solutions to $L^1$ extremal
problems in one and several variables;
\JAT; 13; 1975; 73--83;

%FisherSJerome1976
\rhl{F}
\refJ Fisher,  S. D., Jerome, J. W.;
Stable and unstable elastica equilibrium and the problem of minimum
curvature;
\JMAA; 53; 1976; 367--376;

%FitzGeraldMicchelliPinkus1995
% pinkus 23jun03
\rhl{}
\refJ FitzGerald, C. H., Micchelli, C. A., Pinkus, A.;
Functions that preserve families of positive semidefinite matrices;
\LAA; 221; 1995; 83--102;

%FitzgeraldSchumaker1969
% larry
\rhl{F}
\refJ Fitzgerald,  C. H., Schumaker, L. L.;
A differential equation approach to interpolation
	 at extremal points;
\JAM; 22; 1969;  117--134;

%Fitzpatrick1988
% larry
\rhl{F}
\refJ Fitzpatrick,  J. M.;
The existence of geometrical density---image transformations corresponding to
object motion;
Computer Vision, Graphics, and Image Processing; 44; 1988; 155--174;

%FitzpatrickSchumaker1993
% larry
\rhl{F}
\refJ Fitzpatrick,  M., Schumaker, L. L.;
On one-to-one bivariate transformations;
\JAT; 72; 1993; 40--53;

%Fix1999
%  what is this supposed to be???
\rhl{F}
\refR Fix,  G.;
Spline approximation by quasi-interpolants;
XXX; XX;

%FixStrang1969
\rhl{F}
\refJ Fix,  G., Strang, G.;
Fourier analysis of the finite element
method in Ritz-Galerkin theory;
Studies in Appl.\ Math.; 48; 1969; 265--273;

%FladtBaur1975a
\rhl{F}
\refB Fladt,  A., Baur, K.;
Analytische Geometrie spezieller
Fl\"achen und Raumkurven;
Vieweg \& Sohn, Braunschweig \& Wiesbaden (xxx); 1975;

%FlahertyMathon1980
% . 29apr97
\rhl{F}
\refJ Flaherty, J. E., Mathon, W.;
Collocation with polynomial and tension splines for singularly-perturbed
   boundary value problems;
\SJSSC; 1; 1980; 260--289;

%Fleet1991
% larry
\rhl{F}
\refD Fleet,  P. J. Van;
Numerical evaluation of multivariate spline functions;
Southern Illinois Univ.; 1991;

%Fleet1999a
\rhl{F}
\refR Fleet,  P. J. Van;
An algorithm for numerically evaluating multivariate box splines;
Vanderbilt Univ., Nashville, Tennessee; xxx;

%Fleet1999b
\rhl{F}
\refR Fleet,  P. J. Van;
An FFT-based algorithm for approximating bivariate box splines;
Southern Illinois Univ.; xxx;

%Fletcher1987
\rhl{F}
\refB Fletcher,  R.;
Practical Methods of Optimization; 
Second Edition, John Wiley \& Sons (Chichester); 1987;

%FletcherPowell1963a
\rhl{F}
\refJ Fletcher,  R., Powell, M. J. D.;
A rapidly convergent
descent method for minimization;
\CJ;  6; 1963; 163--168;

%FletcherReeves1964a
\rhl{F}
\refJ Fletcher,  R., Reeves, C. M.;
Function minimization by conjugate gradients;
\CJ;  7; 1964; 149--154;

%Floater1992a
% greg
\rhl{F}
\refJ Floater,  M. S.;
Derivatives of rational B\'ezier curves;
\CAGD; 9; 1992; 161--174;

%Floater1997
% larry Lai-Schumaker book
\rhl{Flo97}
\refJ Floater, M. S.;
A counterexample to a theorem about the convexity of
   Powell--Sabin elements;
\CAGD; 14; 1997; 383--385;

%Floater1999
% carl 24mar99
\rhl{F}
\refJ Floater, Michael S.;
Total positivity and convexity preservation;
\JAT; 96(1); 1999; 46--66;
% tp equivalent to convexity preservation of all orders

%Floater2003
% carl 20jan03
\rhl{F}
\refJ Floater, M.;
Error formulas for divided difference expansions and numerical
   differentiation;
\JAT; 122(1); 2003; 1--9;
% see DokkenLyche79, Floater03a, Boor03a

%Floater2003b
% shayne 20nov03
\rhl{}
\refJ Floater, M. S.;
 Mean value coordinates;
\CAGD; 20; 2003; 19--27;

%Floater2005
% author 04mar10
\rhl{F}
\refJ Floater,  M. S.;
Arc length estimation and the convergence of parametric polynomial
   interpolation;
\BIT; 45; 2005; 679--694;

%Floater2006
% author 04mar10
\rhl{F}
\refJ Floater,  M. S.;
Chordal cubic spline interpolation is fourth order accurate;
\IMAJNA; 26; 2006; 25--33;

%Floater9x
% greg
\rhl{F}
\refJ Floater,  M. S.;
High order approximation of conic sections by splines of odd degree;
\CAGD; xx; 199x; xxx;

%FloaterIske1996
% shayne 20jan03
\rhl{}
\refJ  Floater, M. S., Iske, A.;
Multistep scattered data interpolation using compactly supported radial 
   basis functions;
\JCAM; 73; 1996; 65--78;

%FloaterIske1997
% larry 10sep99
\rhl{FI}
\rhl{F}
\refP Floater, M. S.,  Iske, A.;
Thinning, inserting, and swapping scattered data;
\ChamonixIIIb; 139--144;

%FloaterLyche2007
% tom 05mar08
\rhl{FL}
\refJ Floater, M., Lyche, T.;
Two chain rules for divided differences and Fa\`a di Bruno's formula;
\MC; 76; 2007; 867--877;

%FloaterLyche2008
% author 04mar10
\rhl{FL}
\refJ Floater, M., Lyche, T.;
Divided differences of inverse functions and partitions of a convex polygon;
\MC; 77; 2008; 2295--2308;

%FloaterPena2000
% LLS Lai-Schumaker book
\rhl{FloP00}
\refJ Floater, M. S., Pe\~na, J. M.;
Monotonicity preservation on triangles;
\MC; 69; 2000; 1505--1519;

%FloaterQuak1998
% larry 10sep99
\rhl{}
\rhl{F}
\refP Floater, M. S.,  Quak, E. G.;
A semi-prewavelet approach to piecewise linear prewavelets
on triangulations;
\TexasIXc;  63--70;

%FloaterQuak1999
% LLS Lai-Schumaker book
\rhl{FloQ99}
\refJ Floater, M. S., Quak, E. G.;
Piecewise linear prewavelets on arbitrary triangulations;
\NM; 82; 1999; 221--252;

%FloaterRasmussenReif2007
% nanet 05mar08
\rhl{FR}
\refJ Floater, Michael S., Rasmussen, Atgeirr F., Reif, Ulrich; 
Extrapolation methods for approximating arc length and surface area;
\NA; 44(3); 2007; 235--248;

%FlorianiFalcidienoPienovi1985
\rhl{F}
\refJ Floriani,  L. de, Falcidieno, B., Pienovi, C.;
Delaunay-based representation of surfaces defined over arbitrarily shaped
domains;
???CVGIP; 32; 1985; 127--140;

%Foley1979
\rhl{F}
\refD Foley,  T. A.;
Smooth multivariate interpolation to scattered data;
Arizona State Univ.; 1979;

%Foley1981a
\rhl{F}
\refR Foley,  T. A.;
Off-site radiation exposure review project: computer-aided surface
interpolation and graphical display;
XXX; 1981;

%Foley1981b
\rhl{F}
\refQ Foley,  T. A.;
Computer-aided surface interpolation and
graphical display applied to radiological data from nuclear testing;
(Environmetrics 81 Proceedings), xxx (ed.), SIAM (Philadelphia); 1981; XX;

%Foley1982
\rhl{F}
\refR Foley,  T. A.;
Surface interpolation using DELTASH and Kriging;
XXX; 1982;

%Foley1983
% larry
\rhl{F}
\refP Foley,  T. A.;
Full Hermite interpolation to multivariate scattered data;
\TexasIV; 465--470;

%Foley1984
\rhl{F}
\refJ Foley,  T. A.;
Three-stage interpolation to scattered data;
\RMJM; 14; 1984; 141--149;

%Foley1986
% larry
\rhl{F}
\refP Foley,  T. A.;
A triangular surface patch with optimal error bounds;
\TexasV; 343--346;

%Foley1986b
\rhl{F}
\refR Foley,  T.;
NTS radiological assessment project: comparison of delta surface
interpolation with Kriging for the Frenchman lake region of area 5;
XXX; 1986;

%Foley1986c
% greg
\rhl{F}
\refJ Foley,  T. A.;
Scattered data interpolation and approximation
with error bounds;
\CAGD; 3; 1986; 163--177;

%Foley1986d
% greg
\rhl{F}
\refJ Foley,  T. A.;
Local control of interval tension using weighted splines;
\CAGD; 3; 1986; 281--294;

%Foley1987a
% larry
\rhl{F}
\refJ Foley,  T. A.;
Interpolation with interval and point tension controls using cubic
weighted omega splines;
ACM TOMS; 13; 1987; 68--96;

%Foley1987b
\rhl{F}
\refJ Foley,  T. A.;
Weighted bicubic spline interpolation to rapidly varying data;
ACM TOGS; 6; 1987; 1--18;

%Foley1987c
% larry
\rhl{F}
\refJ Foley,  T. A.;
Interpolation and Approximation of 3-D and 4-D scattered data;
Comp.\ Maths.\ Appls; 13; 1987; 711--740;

%Foley1988b
% greg
\rhl{F}
\refJ Foley,  T. A.;
A shape preserving interpolant with tension controls;
\CAGD; 5; 1988; 105--118;

%FoleyEly1988
\rhl{F}
\refR Foley,  T., Ely, H.;
Surface interpolation of weighted $\nu$-spline networks using the cardinal
product method;
XXX; 1988;

%FoleyEly1989
% greg
\rhl{F}
\refJ Foley,  T. A., Ely, H. S.;
Surface interpolation with tension controls using cardinal bases;
\CAGD; 6; 1989; 97--109;

%FoleyGoodmanUnsworth1989a
% larry
\rhl{F}
\refP Foley,  T. A., Goodman, T. N. T., Unsworth, K.;
An algorithm for shape preserving parametric interpolating curves with
$GC^2$ continuity;
\Oslo; 249--259;

%FoleyJDam1982a
\rhl{F}
\refB Foley,  James D., Dam, Andries van;
Fundamentals of Interactive Computer Graphics;
Addison Wesley (xxx); 1982;

%FoleyJDamFeinerHughes1990a
\rhl{F}
\refB Foley,  J., Dam, A. van, Feiner, S., Hughes, J.;
Computer Graphics: Principles and Practice (2nd Edition);
Addison-Wesley (Reading MA); 1990;

%FoleyNeuser1989
% carl
\rhl{F}
\refP Foley,  T. A., Neuser, D. A.;
Quintic spline interpolation with shape control parameters;
\TexasVI; 259--262;

%FoleyNielson1980
% larry
\rhl{F}
\refP Foley,  T. A., Nielson, G. M.;
Multivariate interpolation to scattered data using
delta iteration;
\TexasIII; 419--424;

%Folland1995
% shayne 21jan02
\rhl{}
\refB Folland, G. B.;
A course in abstract harmonic analysis;
CRC Press (Boca Raton); 1995;

%Fontanella1971
\rhl{F}
\refJ Fontanella,  F.;
Some theorems on lacunary interpolation using
	 piecewise polynomial functions (Italian);
Matemat.\  Catania; 26; 1971;  183--198;

%Fontanella1987
\rhl{F}
\refP Fontanella,  F.;
Shape preserving surface interpolation;
\Chile; 63--78;

%Fontanella1990
% carl
\rhl{F}
\refP Fontanella,  F.;
Shape preserving interpolation;
\Teneriffe; 183--214;

%Fornberg1996a
% .
\rhl{}
\refB Fornberg, B.;
A practical guide to pseudospectral methods;
Cambridge University Press (Cambridge, England); 1996;

%Fornberg1998
% carl 21nov08
\rhl{F}
\refJ Fornberg, B.;
Calculation of weights in finite difference formulas;
\SR; 40(3); 1998; 685--691;

%Forney1991
% shayne 16aug02
\rhl{}
\refJ Forney, G. D.;
Geometrically uniform codes;
IEEE Trans.\ Inform.\ Theory ; 37 no.\ 5; 1991; 1241--1260;

%Forrest1968
\rhl{F}
\refD Forrest,  A. R.;
Curves and surfaces for computer-aided design;
Cambridge Univ.; 1968;

%Forrest1969
\rhl{F}
\refR Forrest,  A. R.;
Co-ordinates, transformations, and visualization techniques;
CAD Group, Document No.23, Cambridge University, June; 1969;

%Forrest1971
\rhl{F}
\refR Forrest,  A. R.;
Coons surfaces and multivariable functional interpolation;
Cambridge Univ.\ CAD Group Document 38 rev; 1971;

%Forrest1972
\rhl{F}
\refJ Forrest,  A. R.;
On Coons and other methods for the representation
of curved surfaces;
Computer Graphics Image Proc.; 1; 1972; 341--359;

%Forrest1972b
% larry
\rhl{F}
\refJ Forrest,  A. R.;
Interactive interpolation and approximation
	 by B\'ezier polynomials;
\CJ; 15; 1972; 71--79;

%Forrest1979
\rhl{F}
\refJ Forrest,  A. R.;
On the Rendering of Surfaces;
Computer Graphics;
13;
1979;
253--259;

%Forrest1980
% carl
\rhl{F}
\refJ Forrest, A. R.;
The Twisted Cubic Curve: A Computer-Aided Geometric Design Approach;
\CAD; 12(4); 1980; 165--172;

%Forrest1982
\rhl{F}
\refJ Forrest,  A. R.;
A pragmatic approach to interaction;
Computers in Industry; 2; 1982; 69--73;

%ForseyBartels1988
% . 24mar99
\rhl{F}
\refJ Forsey, D., Bartels, R.;
Hierarchical B-spline refinement;
Computer Graphics; 22(4); 1988; 205--212;
% some refs have --211

%Forsyth1912a
\rhl{F}
\refB Forsyth,  A. R.;
Lectures on the Differential Geometry of Curves and Surfaces;
Cambridge University Press (xxx); 1912;

%ForsytheMalcolmMoler1977
\rhl{F}
\refB Forsythe,  George E., Malcolm, Michael A., Moler, Cleve B.;
Computer Methods for Mathematical Computations;
Prentice-Hall (Englewood Cliffs NJ); 1977;

%ForsytheMoler1967
% carl 22may98
\rhl{F}
\refB Forsythe,  George E., Moler, Cleve B.;
Computer Methods of Linear Algebraic Systems;
Prentice-Hall (Englewood Cliffs NJ); 1967;

%Fort1942a
% Curry51
\rhl{}
\refJ Fort, Tomlinson;
Generalization of Bernoulli polynomials and numbers and corresponding
   summation formulas;
\BAMS; 48; 1942; 567--574, 949;

%Fortune1990
\rhl{F}
\refR Fortune,  S.;
Stable manifolds of point-set triangulations in two dimensions;
AT\&T Laboratories, New Jersey; xxx;

%FosterRichards1991a
%  26oct95
\rhl{F}
\refJ Foster, J., Richards, F. B.;
The Gibbs phenomenon for piecewise-linear approximation;
\AMM; 98; 1991; 47--49;

%FosterRichards1995a
% carl
\rhl{F}
\refJ Foster, J., Richards, F. B.;
Gibbs-Wilbraham splines;
\CA; 11(1); 1995; 37--52;

%Fournier1979
% carl
\rhl{F}
\refJ Fournier,  A.;
Comments on convex hull of a finite set of points in two dimensions;
\IPL; 8; 1979; 173;

%FowlerAHWilson1963
\rhl{F}
\refR Fowler,  A. H., Wilson, C. W.;
Cubic spline,  a curve fitting routine;
Report Y-l400, Oak Ridge; 1963;

%FowlerRH1929a
\rhl{F}
\refB Fowler,  R. H.;
The Elementary Differential Geometry of Plane Curves;
Cambridge Univ.\ Press (xxx); 1929;

%FraeijsdeVeubeke1965
% sherm, pagination update   call number TA 642 C74
\rhl{F}
\refQ Veubeke,  G. Fraeijs de;
Bending and stretching of plates;
(Conference on Matrix Methods in Structural Mechanics), xxx (ed.),
Wright-Patterson A.F.B. (OH); 1965; 863--886;

%FraeijsdeVeubeke1968
% LLS Lai-Schumaker book
\rhl{Fra68}
\refJ Fraeijs de Veubeke, B.;
A conforming finite element for plate bending;
J. Solids Structures; 4; 1968; 95--108;

%FraeijsdeVeubeke1974a
% . 26oct95
\rhl{F}
\refJ Fraeijs de Veubeke, B.;
Variational principles and the patch test;
\IJNME; 8; 1974; 783--801;
% The Fraeijs de Veubeke triangle finite element 
% It involves integrals of derivatives - as does Wilson's brick

%FranchettiCheney1976
% carl 02feb01
\rhl{FC}
\refJ Franchetti,  C., Cheney, E. W.;
Minimal projections in $L_1$-spaces;
Duke Math.\ J.; 43(3); 1976; 501--510;
% provides $L_1$-minimal projectors onto $\Pi_1$.

%FranchettiCheney1981
\rhl{F}
\refJ Franchetti,  C., Cheney, E. W.;
Best approximation problems for multivariate functions;
Bollettino Unione Mat.\ Ital.; 18b; 1981; 1003--1015;

%FranchettiCheney1984
% sonya
\rhl{F}
\refJ Franchetti,  C., Cheney, E. W.;
Minimal projections in tensor-product spaces;
\JAT; 41; 1984; 367--381;

%FranchettiLight1984
\rhl{F}
\refJ Franchetti,  C., Light, W. A.;
The alternating algorithm in uniformly convex spaces;
\JLMS; 29; 1984; 545--555;

%FranchettiLight1999
\rhl{F}
\refJ Franchetti,  C., Light, W. A.;
On the von Neumann alternating algorithm in Hilbert spaces;
J. Math.\ Anal.\ Appl; X; 19XX; XX;

%FrankPaulsenTiballi2002
% shayne 16aug02
\rhl{}
\refJ Frank, M., Paulsen, V. I., Tiballi, T. R.;
Symmetric approximation of frames and bases in Hilbert spaces;
\TAMS; 354; 2002; 777--793;

%Franke1977
\rhl{F}
\refJ Franke,  R.;
Locally determined smooth interpolation at
irregularly spaced points in several variables;
\JIMA; 19; 1977; 471--482;

%Franke1979
\rhl{F}
\refR Franke,  R.;
A critical comparison of some methods for
interpolation of scattered data;
Report NPS-53-79-003, Naval Postgraduate School; 1979;

%Franke1982
% larry
\rhl{F}
\refJ Franke,  R.;
Smooth interpolation of scattered data by
local thin plate splines;
Comp.\ Maths.\ Appls.; 8; 1982; 273--281;

%Franke1982b
% carl
\rhl{F}
\refJ Franke, Richard;
Scattered data interpolation: tests of some methods;
\MC; 38(157); 1982; 181--200;

%Franke1985a
\rhl{F}
\refR Franke,  R.;
Scattered data interpolation using thin plate splines with tension;
NPS-53-85-0005; 1985;

%Franke1985b
% larry
\rhl{F}
\refJ Franke,  R.;
Sources of error in objective analysis;
Mon.\ Wea.\ Rev.; 113; 1985; 260--270;

%Franke1985c
\rhl{F}
\refR Franke,  R.;
Laplacian smoothing splines with generalized cross-validation for objective
analysis of meterological data;
NPS-53-85-0008; 1985;

%Franke1985d
% greg
\rhl{F}
\refJ Franke,  R.;
Thin plate splines with tension;
\CAGD; 2; 1985; 87--95;

%Franke1986
\rhl{F}
\refR Franke,  R.;
Covariance functions for statistical interpolation;
NPS-53-86-007; 1986;

%Franke1987
\rhl{F}
\refP Franke,  R.;
Recent advances in the approximation of surfaces from scattered data;
\Chile; 79--98;
% Naval postgraduate school technical report, Monterey, 1986

%Franke1991
% larry
\rhl{F}
\refJ Franke,  R.;
Sensitivity of the error in multivariate statistical interpolation to 
parameter values;
Monthly Weather Review; 119; 1991; 815--832;

%Franke1999
\rhl{F}
\refR Franke,  R.;
Generalized weighted spline: How weird can they be ?;
talk at Geometric Modelling Conference at Dagstuhl; xxx;

%FrankeHagenNielson1993
\rhl{F}
\refR Franke, R., Hagen, H., Nielson, G. M.;
Least squares surface approximation to scattered data using
multiquadric functions;
ACM; 1994;

%FrankeHagenNielson1993b
\rhl{F}
\refR Franke, R., Hagen, H., Nielson, G. M.;
Repeated knots in least squares multiquadric functions;
xx; 1993;

%FrankeNielson1980
\rhl{F}
\refJ Franke,  R., Nielson, G.;
Smooth interpolation of large sets of scattered data;
Internat.\ J. Numer.\ Meth.\ Engr.; 15; 1980; 1691--1704;

%FrankeNielson1983
\rhl{F}
\refP Franke,  R., Nielson, G.;
Surface approximation with imposed conditions;
\CagdI; 135--146;

%FrankeNielson1991
\rhl{F}
\refQ Franke,  R., Nielson, G. M.;
Scattered data interpolation and applications: A tutorial and survey; 
(Geometric Modeling), H. Hagen and D. Roller (eds.),
Springer Verlag (Berlin); 1991; 131--160;

%FrankeSchumaker1987
% larry
\rhl{F}
\refP Franke,  R., Schumaker, L. L.;
A bibliography of multivariate approximation;
\Chile; 275--335;

%Fraser1927
% Meijering02 20nov03
\rhl{}
\refB Fraser, D. C.;
Newton's Interpolation Formulas;
C. \& E. Layton (London, UK); 1927;
% an annotated translation of pertinent Newton material

%FrazierJawerth1985
\rhl{F}
\refJ Frazier,  M., Jawerth, B.;
Decomposition of Besov spaces;
\IUMJ; 34; 1985; 777--799;

%FrazierJawerth1990a
\rhl{F}
\refJ Frazier,  M., Jawerth, B.;
A discrete transform and decompositions
of distribution spaces;
J. of Functional Analysis;  93; 1990; 34--170;

%FredenhagenOberleOpfer1999
% carl 24mar99
\rhl{F}
\refJ Fredenhagen, Sigrid, Oberle, Hans Joachim, Opfer, Gerhard;
On the construction of optimal monotone cubic spline interpolations;
\JAT; 96(2); 1999; 182--201;

%Frederickson1970
\rhl{F}
\refR Frederickson,  P. O.;
Triangular spline interpolation;
Rpt.\ 6--70, Lakehead Univ.; 1970;

%Frederickson1971a
% sherm
\rhl{F}
\refQ Frederickson,  P. O.;
Quasi-interpolation, extrapolation, and approximation on the plane;
(Proc.\ Manitoba Conf.\ Numer.\ Math.),
R. S. D. Thomas and H. C. Williams (eds.),
Utilitas Mathematica Publishing Inc.{} (Winnipeg); 1971; 159--167;

%Frederickson1971b
\rhl{F}
\refR Frederickson,  P. O.;
Generalized triangular splines;
Lakehead Rpt.\ 7; 1971;

%Freeden1978
% carl
\rhl{F}
\refJ Freeden, Willi;
Eine Verallgemeinerung der Hardy-Landauschen Identit\"at;
\MM; 35; 1981; 371--386;
% ref in NM 51(1), 1987, 63.

%Freeden1979
\rhl{F}
\refR Freeden,  W.;
\"Uber eine Klasse von Integralformeln der mathematischen Geod\"asie;
Aachen; 1979;

%Freeden1979b
% sherm, proceedings update
\rhl{F}
\refP Freeden,  W.;
Multidimensional Euler summation formulas and numerical cubature;
\HammerlinI; 77--88;

%Freeden1980
\rhl{F}
\refJ Freeden,  W.;
On the approximation of external gravitiational potential with closed
systems of trial functions;
Bull.\ Geod.; 54; 1980; 1--20;

%Freeden1980b
\rhl{F}
\refJ Freeden,  W.;
\"Uber die Gausssche Methode zur angen\"aherten Berechnung von Integralen;
Math.\ Meth.\ Appl.\ Sci.; 2; 1980; 397--409;

%Freeden1981
\rhl{F}
\refJ Freeden,  W.;
Eine Klasse von Kubaturformeln der Einheitssph\"are;
Z. f.\ Vermessungswesen; 4; 1981; 200--210;

%Freeden1981a
\rhl{F}
\refJ Freeden,  W.;
On spherical spline interpolation and approximation;
Math.\ Meth.\ Appl.\ Sci.; 3; 1981; 551--575;

%Freeden1981b
\rhl{F}
\refJ Freeden,  W.;
On approximation by harmonic splines;
Manuscripta Geodaetica; 6; 1981; 193--244;

%Freeden1982
\rhl{F}
\refJ Freeden,  W.;
Spline methods in geodetic approximation problems;
Math.\ Meth.\ Appl.\ Sci.; 4; 1982; 382--396;

%Freeden1982b
\rhl{F}
\refR Freeden,  W.;
On the permanence property in spherical spline
interpolation;
Rpt.\ 341, Ohio State Univ.; 1982;

%Freeden1982c
\rhl{F}
\refJ Freeden,  W.;
Interpolation and best approximation by harmonic spline
functions.\  Theoretical and computational aspects;
Bull.\ Geodesis e Sci.\ Affini; 41; 1982; 105--120;

%Freeden1983
\rhl{F}
\refR Freeden,  W.;
Least square approximation by linear combinations of (multi)poles;
OSU; 1983;

%Freeden1984
\rhl{F}
\refJ Freeden,  W.;
Ein Konvergenzsatz in sphaerischer Spline-Interpolation;
Zeit.\ Vermessungsnach.; 104; 1984; 569--575;

%Freeden1985
\rhl{F}
\refJ Freeden,  W.;
Spherical spline interpolation-basic theory and
computional aspects;
J. Comp.\ Appl.\ Math.; 11; 1985; 367--375;

%Freeden1985a
\rhl{F}
\refJ Freeden,  W.;
Basis systems and their role in the approximation of the earth's
graviatational field;
Gerlands Beitr.\ Geophysik; 94; 1985; 19--34;

%Freeden1985b
\rhl{F}
\refR Freeden,  W.;
Computation of spherical harmonics and approximation by spherical harmonic
expansions;
Ohio State; 1985;

%Freeden1985c
\rhl{F}
\refJ Freeden,  W.;
Ein Beitrag zur numerischen Berechnung des Dirichletschen Aussenraumproblem
der Potentialtheorie mittels harmonischer Splines;
Z. Angew.\ Math.\ Mech.; 65; 1985; 260--262;

%Freeden1986
\rhl{F}
\refQ Freeden,  W.;
A spline interpolation method for solving
boundary value problem of potential theory
from discretely given data;
(Numer.\ Meth.\ Partial Diff.\ Eqs), xxx (ed.), Wiley (New York); 1986; xx;

%Freeden1987
\rhl{F}
\refP Freeden,  W.;
Metaharmonic splines for solving the exterior Dirichlet problem
for the Helmholtz equation;
\Chile; 99--110;

%Freeden1987b
\rhl{F}
\refP Freeden,  W.;
Harmonic splines for solving boundary value problems of potential theory;
\ShrivenhamI;  XX;

%Freeden1993a
% carl
\rhl{F}
\refJ Freeden,  Willi;
Vector spherical spline interpolation -- basic theory;
Mathem.\ Methods in the Applied Sciences; 16; 1993; 151--183;
% MOS 33D30, 41A05, 41A15, 73C02

%Freeden1999
\rhl{F}
\refR Freeden,  W.;
A spline interpolation method for solving Dirichlet's and Neumann's
boundary value problem of potential theory from discretely given data;
XXX; xx;

%Freeden1999b
% sonya
\rhl{F}
\refJ Freeden,  W.;
Interpolation by multidimensional periodic splines;
\JAT; X; 19XX; XX;

%FreedenGervens1991
\rhl{F}
\refR Freeden,  W., Gervens, T.;
Vector spherical spline interpolation;
Univ.\ Kaiserslautern, Pre\-print 209; 1991;

%FreedenGervensSchreiner1998
% LLS Lai-Schumaker book
\rhl{FreeGS98}
\refB Freeden, W., Gervens, T., Schreiner, M.;
Constructive Approximation on the Sphere;
Oxford University Press (Oxford); 1998;

%FreedenHermann1985
% sherm, proceedings update
\rhl{F}
\refP Freeden,  W., Hermann, P.;
Some reflections on multidimensional Euler and Poisson summation formulas;
\MvatIII; 166--179;

%FreedenHermann1986
\rhl{F}
\refJ Freeden,  W., Hermann, P.;
Uniform approximation by spherical spline interpolation;
Math.\ Z.; 193; 1986; 265--275;

%FreedenKersten1981
\rhl{F}
\refJ Freeden,  W., Kersten, H.;
A constructive approximation theorem for the oblique
derivative problem in potential theory;
Math.\ Meth.\ Appl.\ Sci.; 3; 1981; 104--114;

%FreedenKersten1982
\rhl{F}
\refR Freeden,  W., Kersten, H.;
A vectorial approach to the external gravitational field of the earth;
XXX; 1982;

%FreedenReuter1981
\rhl{F}
\refJ Freeden,  W., Reuter, R.;
A class of multidimensional periodic splines;
Manuscripta Math.; 35; 1981; 371--386;

%FreedenReuter1982
% sherm, proceedings update
\rhl{F}
\refP Freeden,  W., Reuter, R.;
Remainder terms in numerical integration formulas of the sphere;
\MvatII; 151--170;

%FreedenReuter1983
\rhl{F}
\refQ Freeden,  W., Reuter, R.;
Spherical harmonic splines: theoretical and computational
aspects;
(Math.\ Verf.\ Math.\ Physik Vol.\ 27),
B. Brosowski and E. Martensen (eds.), xxx (xxx); 1983; 79--103;

%FreedenReuter1984
\rhl{F}
\refJ Freeden,  W., Reuter, R.;
Exact computation of spherical harmonics;
\C; 32; 1984; 365--378;

%FreedenWitte1982
\rhl{F}
\refJ Freeden,  W., Witte, B.;
A combined spline interpolation and smoothing method for the
determination of the external graviatational potential from
heterogeneous data;
Bull.\ Geodesique; 56; 1982; 53--62;

%FreemanGlass1969
\rhl{F}
\refJ Freeman,  H., Glass, J. M.;
On the quantization of line-drawing data;
IEEE Trans.\  Syst.\  Sci.\  Cybern.; SSC-5; 1969; 70--79;

%Freud1974
% carlbooks 08apr04
\rhl{}
\refP Freud, G.;
On polynomial approximation with respect to general weights;
\Madras; 149--179;

%FreudPopov1966
% larry
\rhl{F}
\refJ Freud,  G., Popov, V.;
\"Uber die Approximation reeller Funktionen durch rationale gebrochene
Funktionen;
Acta Math.\ Acad.\ Sci.\ Hung.; 17; 1966; 313--324;

%FreudPopov1969
\rhl{F}
\refQ Freud,  G., Popov, V.;
On approximation by splines functions;
(Proceedings of the Conference on Constructive Theory of Functions), 
xxx (ed.), xxx (xxx); 19xx; 163--172;

%FreudPopov1970
% larry
\rhl{F}
\refJ Freud,  G., Popov, V.;
Some questions connected with spline functions (Russian);
Studia Sci.\ Math.\ Hung.; 5; 1970; 161--171;

%Freudenthal1942
% carl 02feb01
\rhl{}
\refJ Freudenthal, H.;
Simplizialzerlegungen von beschr\"ankter Flachheit;
\AM; 43; 1942; 580--582;
% it is %Kuhn60's, but is it the first?? I thought Brouwer already had it.

%Frey1986
% larry
\rhl{F}
\refJ Frey,  W. H.;
Selective refinement: a new strategy for automatic node placement in graded
triangular meshes;
Int.\ J. Numer.\ Methods in Engineering; 24; 1987; 2183--2200;

%FreyCavendish1983
\rhl{F}
\refR Frey,  W. H., Cavendish, J. C.;
Fast planar mesh generation using the Delaunay triangulation;
GM; 1983;

%FreyField1992
% LLS Lai-Schumaker book
\rhl{FreyF92}
\refQ Frey,  W. H., Field, D.;
Mesh relaxation for improving triangulations;
(Geometric aspects of industrial design (Wright-Patterson Air Force
Base, OH, 1990)), xxx (ed.), SIAM (Philadelphia, PA); 
1992; 11--24; 

%Freyburger1991
% larry
\rhl{F}
\refD Freyburger,  K.;
Approximation mit verallgemeinerten Splines;
Univ.\ Mannheim; 1991;

%Friedensohn1999
\rhl{F}
\refR Friedensohn,  M.;
An algorithm for monotonic curve fitting;
XXX; XX;

%FriedlandMicchelli1978
% carl 21jan02
\rhl{F}
\refJ Friedland,  S., Micchelli, C. A.;
Bounds on the solutions of difference equations and spline interpolation at
   knots;
\LAA; 20(3); 1978; 219--251;
% IBM: 1976: MR 57-17050

%Friedman1991
% larry
\rhl{F}
\refJ Friedman,  J. H.;
Multivariate adaptive regression splines;
Ann.\ Stat.; 19; 1991; 1--141;

%Friedman1991b
% carlrefs 20nov03
\rhl{}
\refR Friedman, Jerome H.;
Adaptive spline networks;
Statistics TR 107, Stanford; 1991;

%FriedmanGrosseStuetzle1983
% larry
\rhl{F}
\refJ Friedman,  J. H., Grosse, E., Stuetzle, W.;
Multidimensional additive spline approximation;
\SJSSC; 4; 1983; 291--301;

%Fritsch1982
\rhl{F}
\refR Fritsch,  F. N.;
PCHIP final specification;
Lawrence Livermore  Lab.; 1982;

%Fritsch1983
\rhl{F}
\refR Fritsch,  F. N.;
Use of the Bernstein form to derive sufficient conditions for shape
preserving piecewise polynomial interpolation;
LLL; 1983;

%Fritsch1985
\rhl{F}
\refR Fritsch,  F. N.;
The Wilson-Fowler spline is a $\nu$-spline;
Lawrence Livermore Lab.; 1985;

%Fritsch1985b
\rhl{F}
\refR Fritsch,  F. N.;
Energy comparisons of Wilson-Fowler splines
	 with other interpolating splines;
Lawrence  Livermore Lab.; 1985;

%Fritsch1986
\rhl{F}
\refR Fritsch,  F. N.;
Approximation and data fitting methods: I. Introduction to numerical
approximation methods;
UCID; 1986;

%Fritsch1986b
\rhl{F}
\refR Fritsch,  F. N.;
History of the Wilson-Fowler spline;
Lawrence Livermore Lab.; 1986;

%Fritsch1987
\rhl{F}
\refR Fritsch,  F. N.;
Procedure for converting a Wilson-Fowler spline to a cubic B-spline with
double knots;
Lawrence Livermore; 1987;

%Fritsch1988
\rhl{F}
\refR Fritsch,  F. N.;
Representations for parametric cubic splines;
UCRL; 1988;

%Fritsch1988b
\rhl{F}
\refR Fritsch,  F. N.;
SLATEC/LDOC Prologue: Template and conversion program;
UCID; 1988;

%Fritsch1999
\rhl{F}
\refR Fritsch,  F. N.;
Physically reasonable interpolation methods;
Energy Research; 19XX;

%FritschButland1980
\rhl{F}
\refR Fritsch,  F. N., Butland, J.;
An improved monotone piecewise cubic
	 inerpolation algorithm;
Lawrence Livermore Lab.; 1980;

%FritschButland1984
\rhl{F}
\refJ Fritsch,  F. N., Butland, J.;
A method for constructing local monotone piecewise cubic
       interpolants;
\SJSSC; 5; 1984; 300--304;

%FritschCarlson1980
% carl
\rhl{F}
\refJ Fritsch,  F. N., Carlson, R. E.;
Monotone piecewise cubic interpolation;
\SJNA; 17; 1980; 238--246;
% constrained approximation, shape preserving

%FritschCarlson1983
\rhl{F}
\refR Fritsch,  F. N., Carlson, R. E.;
BIMOND: Monotone bivarite interpolation code;
Livermore; 1983; 117--121;

%FritschCarlson1985
% greg
\rhl{F}
\refJ Fritsch,  F. N., Carlson, R. E.;
Monotonicity preserving bicubic interpolation:	a progress report;
\CAGD; 2; 1985; 117--121;

%FritschSpringmeyer1985
\rhl{F}
\refR Fritsch,  F. N., Springmeyer, R. R.;
Software for plotting Wilson-Fowler and v-splines;
Lawrence Livermore Lab.; 1985;

%Frobenius1871
% carl 23jun03
\rhl{}
\refJ Frobenius, G.;
\"Uber die Entwicklung analytischer Functionen in Reihen, die nach
gegebenen Functionen fortschreiten;
\JRAM; 73; 1871; 1--30;
% considers \sum_{k=0}^\infty c_k P_k  with  P_k(z):=(z-a_0)\cdots(z-a_{k-1})
% and \sum_k a_k absolutely convergent.
% Basic identity: 
%   \sum_{k=0}^{n-1} P_k(x)/P_{k+1}(z) = (1 - P_n(x)/P_n(z))/(z-x)
% (according to Norlund24,p.199, this is already in Nicole19 (from 1719))
% Consequence: if f is `entire' on some open nbhd of the disk with boundary S
% and a_0,a_1,\ldots,a_n and x all lie inside S, then
%  f(x) = \sum_{k=0}^{n-1} I_S f(z)P_k(x)/P_{k+1}(z) \dd z  +
%                          I_S(f(z)P_n(x)/((z-x)P_n(z)) \dd z
% with I_S g := (1/2\pi\ii)\int_S g(t) \dd t.
% No mention of Newton, divided differences, polynomial interpolation, ...
% Analogously,
%  f(z) = \sum_{k=0}^{n-1} I_S f(x)P_k(x)/P_{k+1}(z) \dd x  +
%                            I_S(f(x)P_n(x)/((z-x)P_n(z)) \dd x
% Also studies expansions based on continued fractions.

%FrontiniGautschiMilovanovic1987
% carl
\rhl{F}
\refJ Frontini,  Marco, Gautschi, Walter, Milovanovi\'c, Gradimir V.;
Moment-preserving spline approximation on finite intervals;
\NM; 50(5); 1987); 503--518;
% MR: 88g:41019
% MOS:  41A29: 41A15: 65D07
% Gauss quadrature, free knots

%FroylandLaskaPajchel1992
% larry
\rhl{F}
\refP Froyland, L. A., Laska, A., Pajchel, J.;
Modelling Geological Structures Using Splines;
\Biri; 287--296;

%FuK1983
\rhl{F}
\refJ Fu,  K. S.;
B-spline expression of a class of quadratic spline
	 and their applications (Chinese);
Nat.\  Sci.\  J. Xianstan Univ.; 1; 1983;  31--42;

%FuQ1971
\rhl{F}
\refJ Fu,  Q. X.;
Linear dependence relations connecting equal
	 intervals $n$-th degree splines and their derivatives;
\JIMA; 7; 1971; 398--406;

%FuQ1979
\rhl{F}
\refJ Fu,  Q. X.;
Optimum cubic spline fitting with desired
	 convexity and its algorithms (Chinese);
Acta Math.\  Appl.\  Sinica; 2; 1979; 331--339;

%FuchsKedemUselton1977
\rhl{F}
\refJ Fuchs,  H., Kedem, A. M., Uselton, S. P.;
Optimal surface reconstruction from planar contours;
\CACM; 20; 1977; 693--702;

%FuhrKallay1988
\rhl{F}
\refR Fuhr,  Richard D., Kallay, Michael;
Monotone linear rational spline interpolation;
EDS, 13555 SE 36th, Suite 300, Bellevue WA 98006; 1988;

%Fuller1969
% larry
\rhl{F}
\refJ Fuller,  W. A.;
Grafted polynomials as approximating functions;
Australian J.  Agric.\  Econom.; 13; 1969;  35--46;

%Funahashi1989
\rhl{F}
\refJ Funahashi,  K.;
On the approximate realisation of continuous mappings by neural networks; 
{Neural Networks};  2; 1989; 183--192;

%Fyfe1969
% larry
\rhl{F}
\refJ Fyfe,  D. J.;
The use of cubic splines in the solution of two-point boundary value problems;
\CJ; 12; 1969; 188--192;
% first(?) paper on optimal cubic spline collocation aka deferred correction.

%Fyfe1970
\rhl{F}
\refJ Fyfe,  D. J.;
The use of cubic splines in the solution of certain fourth order
boundary value problems;
\CJ; 13; 1970; 204--205;

%Fyfe1971
% larry
\rhl{F}
\refJ Fyfe,  D. J.;
Linear dependence relations connecting equal
	 interval $n$-th degree splines and their derivatives;
\JIMA; 7; 1971;  398--406;