%Nachman1999
\rhl{N}
\refR Nachman,  L. J.;
A note on control polygons and derivatives;
Oakland Univ.; xx;

%Nadler1985
\rhl{N}
\refR Nadler,  E. J.;
Piecewise linear approximation on
triangulation of a planar region;
Rpt.\ 140, Div.\ Applied Math, Brown University; 1985;

%Nadler1987
\rhl{N}
\refR Nadler,  E. J.;
Hermite interpolation by $C^1$ piecewise polynomials on triangulations;
IBM RC 12507; 1987;

%Nadler1990
% carlrefs
\rhl{N}
\refQ Nadler, Edmond;
Hermite interpolation by $C^1$ bivariate splines;
(Contributions to the Computation of Curves and Surfaces), W. Dahmen,
M. Gasca, and Charles A. Micchelli (eds.), Monografias de la Academia de
Ciencias de Zaragoza (Spain); 1990; 55--66;
% see Nadler87

%Nadler1992a
% carl
\rhl{N}
\refJ Nadler, Edmond;
Nonnegativity of bivariate quadratic functions on a triangle;
\CAGD; 9; 1992; 195--205;
% result is contained in MicchelliPinkus91

%Nadler1993
% larry
\rhl{N}
\refJ Nadler,  E. J.;
Non-negativity of a bivariate quadratic function on a triangle;
\CAGD; 9; 1993; 195--205;

%NagelkerkeOosting1983
\rhl{N}
\refJ Nagelkerke,  N. J. D., Oosting, J.;
The fitting of growth curves using constrained splines;
Comp.\ Biom.\ Res.; 16; 1983; 144--148;

%NairnPetersLutterkort1998
% author 24mar99
\rhl{N}
\refJ Nairn, D., Peters, J., Lutterkort, D.;
Sharp, quantitative bounds on the distance between a polynomial and its
   B\'ezier control polygon;
\CAGD; xxx; 1998; xxx--xxx;

%NairnPetersLutterkort1999
% lls Lai-Schumaker book
\rhl{NaiPL99}
\refJ Nairn, D., Peters, J., Lutterkort, D.;
Sharp quantitative bounds on the distance between a polynomial
   piece and its B\'ezier control polygon;
\CAGD; 16; 1999; 613--631;

%NakaoYamamotoKimura1998
% carl 26aug98
\rhl{N}
\refJ Nakao, Mitsuhiro T., Yamamoto, Nobito, Kimura, Seiji;
On the best constant in the error bound for the $H_0^1$-projection into
   piecewise polynomial spaces;
\JAT; 93(3); 1998; 491--500;
% upper bound for  $\sup_f \dist(f,\Pi_n)/\norm{Df}$ when
% $\norm{f} = \norm{f}(L_2([a..b]))$.

%NakataKano2003
% . 03apr06
\rhl{}
\refJ Nakata, H., Kano, H.;
Generation of japanese cursive sentences using optimal control smoothing
   splines;
J. Inform.\ Processing Soc.\ Japan; 44(1); 2003; 134--142;

%NapolitanoLosito1978
\rhl{N}
\refJ Napolitano,  L. G., Losito, V.;
The closed spline functions;
Comput.\  Methods Appl.\ Mech.\  Engrg.; 13; 1978;  335--350;

%Narayanaswamy1986
\rhl{N}
\refR Narayanaswamy,  I.;
On $\Lambda$ cardinal splines;
XX; 19XX;

%Narayanaswamy1999
\rhl{N}
\refR Narayanaswamy,  I.;
On shape-preserving cubic splines I;
XX; 19XX;

%Narcowich1995
% .
\rhl{N}
\refJ Narcowich, F. J.;
Generalized Hermite interpolation and positive definite kernels on a Riemannian
manifold;
\JMAA; 190; 1995; 165--193;
% periodic radial basis functions

%NarcowichSivakumarWard1994
% sherm, author 12mar97
\rhl{N}
\refJ Narcowich,  F. J., Sivakumar, N., Ward, J. D.;
On condition numbers associated with radial-function interpolation;
\JMAA; 186; 1994; 457--485;
% CAT Report 287

%NarcowichWard1991
% sonya
\rhl{N}
\refJ Narcowich,  F. J., Ward, J. D.;
Norms of inverses and condition numbers for
matrices associated with scattered data; 
\JAT; 64; 1991; 69--94;

%NarcowichWard1992
% carl
\rhl{N}
\refJ Narcowich,  Francis J., Ward, Joseph D.;
Norm estimates for the inverses of a general class of scattered-data
radial-function interpolation matrices;
\JAT; 69; 1992; 84--109;

%NarcowichWard1995
% .
\rhl{N}
\refJ Narcowich, F. J., Ward, J. D.;
Generalized Hermite interpolation via matrix-valued conditionally positive
definite functions;
\MC; xx; 199x; xxx--xxx;

%NarcowichWard1999
\rhl{N}
\refR Narcowich,  F. J., Ward, J. D.;
Norm estimates for inverses of scattered-data  
interpolation matrices associated with completely monotonic radial functions; 
CAT Report \#197, College Station; xx;

%NarcowichWard2004
% . 04mar10
\rhl{NW}
\refJ Narcowich, Francis J., Ward, Joseph D.;
Scattered-data interpolation on $\RR^d$: error estimates
   for radial basis and band-limited functions;
\SJMA; 36; 2004; 284--300;

%NarcowichWard9xa
% sherm
\rhl{N}
\refR Narcowich,  F. J., Ward, J. D.;
Hermite interpolation via matrix-valued conditionally positive definite
functions; 
preprint; 1993;

%NarcowichWardWendland2005
% . 04mar10
\rhl{NWW}
\refJ Narcowich, Francis J., Ward, Joseph D., Wendland, Holger;
Sobolev bounds on functions with scattered zeros, with applications to 
   radial basis function surface fitting;
\MC; 74; 2005; 743--763;

%NarcowichWardWendland2006
% . 04mar10
\rhl{NWW}
\refJ Narcowich, Francis J., Ward, Joseph D., Wendland, Holger;
Sobolev error estimates and a Bernstein inequality for scattered data 
   interpolation via radial basis functions;
\CA; 24(2); 2006; 175--186;

%NarcowichWardWendlandH2003
% carl 08apr04
\rhl{}
\refJ Narcowich, F. J., Ward, J. D., Wendland, H.;
Refined error estimates for radial basis function interpolation;
\CA; 19(4); 2003; 541--564;

%Narumi1920a
% . 26oct95
\rhl{N}
\refJ Narumi, S.;
Some formulas in the theory of interpolation of many independent variables;
T\^hoku Math.\ J.; 18; 1920; 309--xxx;

%NashedWahba1974
% . 20jun97
\rhl{N}
\refJ Nashed, M. Zuhair., Wahba, G.;
Generalized inverses in reproducing kernel spaces, an approach to
   regularization of linear operator equations;
\SJMA; 5(6); 1974; 974--987;

%Nasri1987a
\rhl{N}
\refJ Nasri,  A.;
Polyhedral subdivision methods for
free-form surfaces;
ACM Trans.\ Graph.; 6; 1987; 29--73;

%Natterer1970
% carl
\rhl{N}
\refJ Natterer,  F.;
Schranken f\"ur die Eigenwerte gew\"ohnlicher Differentialgleichungen durch
Spline-Approximation;
\NM; 14; 1970; 346--354;

%Natterer1999
% carl 26aug99
\rhl{N}
\refJ Natterer, Frank;
Numerical methods in tomography;
\AN; 8; 1999; 107--142;

%Navazo1986a
\rhl{N}
\refD Navazo,  I.;
Geometric modeling of octree encoded
polyhedral objects;
Univ.\ Polit\`ecnica de Catalunya,
Barcelona; 1986;

%NaveauBrockwellNychka2000
% larry 20apr00
\rhl{}
\refP Naveau, Philippe, Brockwell, Peter, Nychka,  Doug;
Dependence structure of random wavelet coefficients in terms of
   cumulants;
\Stmalof; 343--350;

%NeaguLacolle2000
% larry 20apr00
\rhl{}
\refP Neagu, Manuela, Lacolle, Bernard;
Convergence of approximations for arrangements of curves;
\Stmalod; 297--306;

%Neamtu1989
% larry
\rhl{N}
\refP Neamtu,  M.;
Multivariate divided differences and B-splines;
\TexasVI; 445--448;

%Neamtu1991a
% larry
\rhl{N}
\refP Neamtu,  M.;
Subdividing multivariate polynomials over simplices in Bernstein-B\'ezier
form without de Casteljau algorithm;
\ChamonixI; 359--362;

%Neamtu1991b
% .
\rhl{N}
\refD Neamtu,  M.;
Multivariate Splines;
University of Twente (The Netherlands); 1991;

%Neamtu1991c
% carlrefs 20nov03
\rhl{}
\refD Neamtu, Marian;
A contribution to the theory and practice of multivariate splines;
Applied Math., Univ.\ Twente; 1991;

%Neamtu1992
% carl
\rhl{N}
\refJ Neamtu,  Marian;
On discrete simplex splines and subdivision;
\JAT; 70(3); 1992; 358--374;

%Neamtu1992b
% carl 26aug98
\rhl{N}
\refJ Neamtu,  M.;
Multivariate divided differences.\ I. Basic properties;
\SJNA; 29(5); 1992; 1435--1445;

%Neamtu1992c
% carl 26aug98
\rhl{N}
\refP Neamtu, Marian;
On approximation and interpolation of convex functions;
\SinghII; 411--418;

%Neamtu1996
% carl 26aug98
\rhl{N}
\refJ Neamtu, Marian;
Homogenous simplex splines;
\JCAM; 73; 1996; 173--189;

%Neamtu1999a
\rhl{N}
\refR Neamtu,  M.;
Multivariate B-splines and their evaluation;
xxx; xxx;

%Neamtu2001a
% author 23jun03 25mar11
\rhl{}
\refP Neamtu, M.;
What is the natural generalization of univariate splines to higher
dimensions?;
\OsloII; 355--392;
% the `right' way to generate a basis of simplex splines on a given
% triangulation ...

%Neamtu2001b
% author 23jun03
\rhl{}
\refQ Neamtu, M.;
Bivariate simplex B-splines: A new paradigm;
(Proc.~Spring Conf.{} on Computer Graphics, IEEE Computer Soc.),
R. Durikovic and S. Czanner (eds.), Los Alamitos (xxx); 2001; 71--78;

%Neamtu2007
% carl 04mar10
\rhl{N}
\refJ Neamtu, M.;
Delaunay configurations and multivariate splines: A generalization of a 
   result of B. N. Delaunay;
\TAMS; 359; 2007; 2993--3004;

%NeamtuPfluger1994
% carl 26aug98
\rhl{N}
\refJ Neamtu,  M., Pfluger, P. R.;
Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth 
   interpolation in $\RR^3$;
\CAGD; 11; 1994; 451--474;
% xxx: 1991:

%NeamtuPottmannSchumaker1998
\rhl{}
% larry
\refJ Neamtu, M., Pottmann, H., Schumaker, L. L.;
Designing NURBS cam profiles using trigonometric splines;
ASME J. Mech. Design; 120; 1998; 175--180;
% using curves whose offsets are curves of the same type

%NeamtuPottmannSchumaker1999
% larry 16aug02
\rhl{NPS99}
\refJ Neamtu, M., Pottman, H., Schumaker, L. L.;
Dual focal splines and rational curves with rational offsets;
Math.{} Eng.{} Ind.; 7; 1999; 139--154;

%NeamtuRonShen9x
% . 26aug98
\rhl{N}
\refR Neamtu, M.,  Ron, A., Shen, Z.;
The cascade and subdivision algorithms; ms; 199x;

%NeamtuSchumaker2004
% lls Lai-Schumaker book
\rhl{NeaS04}
\refJ Neamtu, M., Schumaker, L. L.;
On the approximation order of splines on spherical triangulations;
\AiCM; 21; 2004; 3--20;

%NeamtuTraas1991
% carl
\rhl{N}
\refJ Neamtu,  M., Traas, C. R.;
On computational aspects of simplicial splines;
\CA; 7; 1991; 209--220;

%Nedelec1976
% MR0455503 06jun04
\rhl{N}
\refJ Nedelec, J.-C.;
Curved finite element methods for the solution of singular integral equations
   on surfaces in $R^3$;
Comput.{} Methods in Appl.{} Mech.{} Engrg; 8(1); 1976; 61--80;

%Neder1926
\rhl{N}
\refJ Neder,  L.;
Interpolationsformeln f\"ur Funktionen mehrerer Argumente;
Scand.\	Actuareitidskrift; 9; 1926; 59--69;

%NeffPeters1994
% author
\rhl{N}
\refP Neff,  A., Peters, J.;
$C^1$ interpolation on higher-dimensional
analogues of the 4-direction mesh;
\Nmatnion; 207--220;

%NetravaliFigueiredo1971
\rhl{N}
\refR Netravali,  A. N., Figueiredo, R. J. P. de;
Spline approximation to the solution of linear Fredholm equation of the
second kind;
SJNA; 1971;

%NetravaliFigueiredo1999
\rhl{N}
\refR Netravali,  A. N., Figueiredo, R. J. P. de;
Optimal reconstruction of signals;
xx; 19xx;

%NetravaliHuangKrishnakumarHolt1989
% larry
\rhl{N}
\refJ Netravali,  A. N., Huang, T. S., Krishnakumar, A. S., Holt, R. J.;
Algebraic methods in 3-D motion estimation from two-view point correspondence;
International J. of Imaging Systems and Technology; 1; 1989; 78--99;

%Neubauer1994
% larry
\rhl{N}
\refP Neubauer, A.;
The iterative solution of a nonlinear inverse problem from industry:
design of reflectors;
\ChamonixIIa; 335--342;

%Neuman1976
% larry
\rhl{N}
\refJ Neuman,  E.;
Determination of an interpolating quadratic
	 spline function;
Applic.\  Mathematicae; 15;  1976;  245--250;

%Neuman1977
\rhl{N}
\refJ Neuman,  E.;
Determination of an interpolating quintic
	 spline function with equally spaced and double knots;
Zastosow.\  Mat.\  Polska; 16; 1977; 133--142;

%Neuman1978
\rhl{N}
\refJ Neuman,  E.;
Determination of an interpolating quadratic
	 spline function;
Zastosow.\  Mat.\  Polska; 15; 1978;  245--250;

%Neuman1978b
\rhl{N}
\refJ Neuman,  E.;
Convex interpolating splines of odd degree;
Utilitas Mat.; 14; 1978; 129--140;

%Neuman1978c
% carl
\rhl{N}
\refJ Neuman,  E.;
Uniform approximation by some Hermite interpolating splines;
\JCAM; 4(1); 1978;  7--9;

%Neuman1979
% sonya
\rhl{N}
\refJ Neuman,  E.;
Bounds for the norm of certain spline projections II;
\JAT; 27; 1979;  135--145;

%Neuman1980
\rhl{N}
\refJ Neuman,  E.;
Determination of a quadratic spline function
	 with given values of the integrals in subintervals;
Zastosow.\  Mat.\  Polska; 16; 1980;  681--689;

%Neuman1980b
% sonya
\rhl{N}
\refJ Neuman,  E.;
Quadratic splines and histospline projections;
\JAT; 29; 1980;  297--304;

%Neuman1980c
% larry
\rhl{N}
\refR Neuman,  E.;
Inequaliaties involving multivariate convex functions.\ II;
\PAMS; 109; 1990; 965--974;

%Neuman1981
\rhl{N}
\refJ Neuman,  E.;
Cubic splines with given derivatives at the knots;
Funct.\ Approx.\  Comment Math.; 11; 1981;  25--30;

%Neuman1981b
% larry
\rhl{N}
\refJ Neuman,  E.;
Moments and Fourier transforms of B-splines;
\JCAM; 7; 1981; 51--62;

%Neuman1981c
\rhl{N}
\refP Neuman,  E.;
Convex interpolating splines of arbitrary degree;
\NmatV; 211--222;

%Neuman1982
\rhl{N}
\refJ Neuman,  E.;
Calculation of complex Fourier coefficients using natural splines;
\C; XX; 1982; XX;

%Neuman1982b
% sonya
\rhl{N}
\refJ Neuman,  E.;
Bounds for the norm of certain spline projections II;
\JAT; 35; 1982;  299--310;

%Neuman1982c
\rhl{N}
\refJ Neuman,  E.;
Convex interpolating splines of arbitrary degree II;
\BIT; 22; 1982; 331--338;

%Neuman1982d
\rhl{N}
\refR Neuman,  E.;
Shape preserving interpolation by polynomial splines;
Wroclaw; 1982;

%Neuman1983
% larry
\rhl{N}
\refJ Neuman,  E.;
Properties of a class of polynomial splines;
\IMAJNA; 3; 1983; 245--252;

%Neuman1986
% larry
\rhl{N}
\refJ Neuman,  E.;
Convex interpolating splines of arbitrary degree III;
\BIT; 26; 1986; 527--536;

%Neuman1988
% larry
\rhl{N}
\refJ Neuman,  E.;
On complete symmetric functions;
\SJMA; 19; 1988; 736--750;

%Neuman1989
% larry
\rhl{N}
\refP Neuman,  E.;
Computation of inner products of some multivariate splines;
\Schmidt; 97--110;

%Neuman1990
\rhl{N}
\refJ Neuman,  E.;
Inequalities involving multivariate convex functions II;
\PAMS; 109; 1990; 965--974;

%Neuman1999
\rhl{N}
\refR Neuman,  E.;
Properties of a class of polynomial splines;
Report, U. Wroclaw, Poland; 19xx;

%NeumanFleet1999
\rhl{N}
\refR Neuman,  E., Fleet, P. Van;
On multivariate Dirichlet splines;
Southern Illinois Univ.; xxx;

%NeumanPevcaric1989
% larry
\rhl{N}
\refJ Neuman,  E., Pe\v{c}ari\'c, J.;
Inequalities involving multivariate convex functions;
\JMAA; 137; 1989; 541--549;

%NeumanSchmidtJ1985
% sonya
\rhl{N}
\refJ Neuman,  E., Schmidt, J. W.;
On the convergence of quadratic spline interpolants;
\JAT; 45; 1985; 299--309;

%NeumannFleet1999
\rhl{N}
\refR Neumann, E., Van Fleet, P. J.;
Moments of Dirichlet splines and their applications to hypergeometric
functions;
xx; xx;

%NeumannSchoenberg1941
\rhl{N}
\refJ Neumann,  J. von, Schoenberg, I. J.;
Fourier integrals and metric geometry;
\TAMS;  50; 1941; 226--251;

%Neutsch1983
% . 21jan02
\rhl{}
\refJ Neutsch, W.;
Optimal spherical designs and numerical integration on the sphere;
J. Comput.\ Phys.; 51; 1983; 313--325;
% first mention of polyharmonic splines on general manifolds?

%Nevai1984
% carl 24mar99
\rhl{N}
\refJ Nevai, P.;
Mean convergence of Lagrange interpolation, III;
\TAMS; 282; 1984; 669--698;

%NevaiXuY1994
% carl 23may95
\rhl{N}
\refJ Nevai, Paul, Xu, Yuan;
Mean convergence of Hermite interpolation;
\JAT; 77(3); 1994; 282--304;

%Neville1933
% carl 21jan02
\rhl{}
\refJ Neville, E. H.;
Iterative interpolation;
J. Indian Math.~Soc.; 20; 1933; 87--120;
% Aitken-Neville algorithm for polynomial interpolation

%Newman1964
% mathscinet 6aug96
\rhl{N}
\refJ Newman, D. J.;
Rational approximation to $|x|$;
Michigan Math.\ J.; 11; 1964; 11--14;
% 30:1344(D. S. Greenstein) 41.17

%Newman1974
% . 12mar97
\rhl{N}
\refR Newman, D. J.;
Some remarks on convergence of cardinal splines;
MRC report no.~1474, U.Wisconsin (Madison); 1974;

%NewmanPassowRaymon1972
% sherm, provided journal reference
\rhl{N}
\refJ Newman,  D. J., Passow, E., Raymon, L.;
Piecewise monotone polynomial approximation;
\TAMS; 172; 1972; 465--472;

%NewmanRivlin1980
\rhl{N}
\refR Newman,  D. J., Rivlin, T. J.;
Optimal recovery among the polynomials;
IBM; 1980;

%NewmanRivlin1981
% MR0654536 05mar08
\rhl{NR}
\refJ Newman, D. J., Rivlin, T. J.;
A characteristic of the weights in a divided difference;
Pacific J. Math.; 93(2); 1981; 407--413;

%NewmanRivlin1986
% MR0654536 05mar08
\rhl{NR}
\refJ Newman, D. J., Rivlin, T. J.;
A continuous function whose divided differences at the Chebyshev extrema are 
   all zero; 
\CA; 2(3); 1986; 221--223;

%NewmanSchoenberg1975
% author 29apr97
\rhl{N}
\refJ Newman, D. J., Schoenberg, I. J.;
Splines and the logarithmic function;
\PJM; 61; 75; 241--258;
% MRC TSR 1476, oct 74

%NewmanWSproull1973
\rhl{N}
\refB Newman,  William M., Sproull, Robert F.;
Principles of Interactive Computer Graphics;
McGraw-Hill (xxx); 1973;

%NewmanXuY1993
% carl 23may95
\rhl{N}
\refJ Newman,  D. J., Xu, Yuan;
Tchebycheff polynomials on a triangular region;
\CA; 9 (4); 1993; 543--546;

%Newsam1990
% scott
\rhl{N}
\refQ Newsam,  G. N.;
Some topical variational geometry problems in computer graphics;
(Workshop on theoretical and numerical aspects of geometric
variational problems, Canberra, 24-28 Sep 1990),
G. Dzuik, G. Huisken and J. Hutchinson (eds.),
Proceedings of The Centre for Mathematics and Its Applications,
Australian National University, Vol 26 (xxx);
1990; xxx--xxx;

%Nicolaides1972
% carl
\rhl{N}
\refJ Nicolaides,  R. A.;
On a class of finite elements generated by Lagrange interpolation;
\SJNA; 9; 1972; 435--445;
% multivariate polynomial interpolation at the simplex points. Error estimate
% from the identity f(x) = \sum_p (f(p) - error(x,p))\ell_p(x)  with 
% error(x,p) := error in truncated Taylor expansion at  x  evaluated at  p.
% Origin of the unfortunate term `principal lattice'.
% A generalization of results in %CiarletWagschal71

%Nicolaides1973
% carl 26oct95
\rhl{N}
\refJ Nicolaides,  R. A.;
On a class of finite elements generated by Lagrange
interpolation. II;
\SJNA; 10(1); 1973; 182--189;

%Nicole1919
% Norlund 23jun03
\rhl{}
\refJ Nicole, M.;
Trait\'e du calcul des diff\'erences finies;
M\'em.{} (Histoire) Acad.\ sc.\ Paris 1717; xx; 1719; 7--21;
% Norlund24p199 gives this as the reference for the identity
%  1/(z-x) =  \sum_{k=0}^{n-1} P_k(x)/P_{k+1}(z) + P_n(x)/(P_n(z)(z-x)), with
% P_k(x) := (x-a_0)\cdots(x-a_{k-1}), all k.

%Nielson1970
% larry
\rhl{N}
\refD Nielson,  G. M.;
Surface approximation and data smoothing using
generalized spline functions;
Univ.\ Utah; 1970;

%Nielson1971
\rhl{N}
\refR Nielson,  G. M.;
Numerical procedures for the evaluation of
      spline functions;
Arizona State; 1971;

%Nielson1973
% carl
\rhl{N}
\refJ Nielson, Gregory M.;
Bivariate spline functions and the approximation
of linear functionals;
\NM; 21; 1973; 138--160;

%Nielson1973b
\rhl{N}
\refR Nielson,  G. M.;
SURV system: A collection of programs for surface viewing;
Ariz.\ State; 1973;

%Nielson1974
\rhl{N}
\refR Nielson,  G. M.;
Computation of $\nu$-splines;
xx;  1974;

%Nielson1974b
\rhl{N}
\refP Nielson,  G. M.;
Some piecewise polynomial alternatives to
	 splines under tension;
\Barnhill; 209--235;

%Nielson1974c
% carl
\rhl{N}
\refJ Nielson,  Gregory M.;
Multivariate smoothing and interpolating splines;
\SJNA; 11; 1974; 435--446;

%Nielson1974d
\rhl{N}
\refP Nielson,  G. M.;
Some Piecewise Polynomial Alternatives to Splines Under Tension;
\Barnhill;
209--235;

%Nielson1978
\rhl{N}
\refJ Nielson,  G. M.;
A first-order blending method for triangles based
upon cubic interpolation;
Internat.\ J. Numer.\ Meth.\ Engr.; 15; 1978;   308--318;

%Nielson1979
% larry
\rhl{N}
\refJ Nielson,  G. M.;
Applications of a Mangeron theorem for triangular domains;
Bul.\ Inst.\ Polit.\ DIN IASI; 25; 1979; 65--70;

%Nielson1979b
% sonya
\rhl{N}
\refJ Nielson,  G. M.;
The side-vertex method for interpolation in triangles;
\JAT; 25; 1979; 318--336;

%Nielson1979c
\rhl{N}
\refJ Nielson,  G. M.;
A Mangeron theorem for triangular domains;
Rev.\ Rou\-maine Math.\ Pures Appl.; 24; 1979; 1--14;

%Nielson1980
% larry
\rhl{N}
\refJ Nielson,  G. M.;
Blending methods of minimum norm for triangular domains;
Rev.\ Roumaine Math.\ Pures  Appl.; 25; 1980; 899--910;

%Nielson1981
% larry
\rhl{N}
\refJ Nielson,  G. M.;
Minimum norm interpolation in triangles;
\SJNA; 17; 1981; 44--62;

%Nielson1983
% carl
\rhl{N}
\refJ Nielson, Gregory M.;
A method for interpolation of scattered data based upon
a minimum norm network;
\MC; 40(161); 1983; 253--271;
% bivariate interpolation, random data interpolation, splines, 
% multivariate approximation and interpolation.

%Nielson1984
\rhl{N}
\refJ Nielson,  G. M.;
A triangle interpolant with linear coefficients based
upon the fundamental bilinear interpolant of Mangeron;
Anal.\ Numer.\ Approx.; 13; 1984; 155--161;

%Nielson1986
% larry, carl
\rhl{N}
\refJ Nielson, Gregory M.;
Rectangular $\nu-$splines;
\ICGA; 6(2); 1986; 35--40;

%Nielson1987
\rhl{N}
\refR Nielson,  G. M.;
An example with a local minimum for the minmax ordering of triangulations;
xx; 1987;

%Nielson1987b
\rhl{N}
\refP Nielson,  G. M.;
A transfinite, visually continuous,  triangular interpolant;
\Troy; 235--245;

%Nielson1987c
\rhl{N}
\refP Nielson,  G. M.;
Coordinate free scattered data interpolation;
\Chile; 175--184;
% affine invariant metric to make method invariant under translation and 
% dilation

%Nielson1988a
\rhl{N}
\refQ Nielson,  G.;
Interactive surface design using triangular network splines;
(International Conference on Engineering Graphics and Descriptive Geometry,
Volume 2), xxx (eds.), xxx (xxx); 1988; 70--77;

%Nielson1993
% larry Lai-Schumaker book
\rhl{Nie93}
\refQ Nielson, G. M.;
Characterization of an affine invariant triangulation;
(Geometric Modelling, Computing Supplementum 8),
G. Farin, H. Hagen, H. Noltemeir, and W. Knoedel (eds.),
Springer-Verlag (Berlin); 1993; 191--210;

%Nielson1999
\rhl{N}
\refR Nielson,  G. M.;
Methods for constructing combined
	 smoothing and interpolating spline functions;
XX; 19XX;

%NielsonFoleyHamannLane1991
% larry
\rhl{N}
\refJ Nielson, G. M., Foley, T. A., Hamann, B., Lane, D.;
Visualizing and modeling scattered multivariate data;
\CGA; 11; 1991; 47--55;

%NielsonFranke1983
% larry
\rhl{N}
\refP Nielson,  G. M., Franke, R.;
Surface construction based upon triangulations;
\CagdI; 163--177;

%NielsonFranke1984
\rhl{N}
\refJ Nielson,  G. M., Franke, R.;
A method for construction of surfaces under tension;
\RMJM; 14; 1984; 203--221;

%NielsonHamann1990
\rhl{N}
\refR Nielson,  G. M., Hamann, B.;
Techniques for the interactive visualization of volumetric data;
IEEE---CH2913-2/90, p.\ 45--50; 1990;

%NielsonHamann1991
% larry
\rhl{N}
\refQ Nielson, G. M., Hamann, B.;
The asymptotic decider: Resolving ambiguity in marching cubes;
(Visualization '91), G. Nielson and L. Rosenblum (eds.), IEEE (xxx);
1991; 83--91;

%NielsonMangeron1980
\rhl{N}
\refJ Nielson,  G. M., Mangeron, D. J.;
Bilinear interpolation in triangles based upon a Mangeron theorem;
Acta Math.\ Sinica; 28; 1980; 471--475;

%NielsonOlsen1986
% larry
\rhl{N}
\refQ Nielson,  G. M., Olsen, D. R.;
Direct manipulation techniques for 3D objects using 2D locator devices;
(Interactive 3D Graphics), H. Fuchs (ed.),  (Chapel Hill); 1986; 1--8;

%NielsonRamaraj1987
% greg
\rhl{N}
\refJ Nielson,  G. M., Ramaraj, R.;
Interpolation over a sphere based upon a minimum norm network;
\CAGD; 4; 1987; 41--58;

%NielsonThomasWixom1978
\rhl{N}
\refR Nielson,  G. M., Thomas, D. H., Wixom, J. A.;
Boundary data interpolation on triangular domains;
GM; 1978;

%NielsonThomasWixom1979
% larry
\rhl{N}
\refJ Nielson,  G. M., Thomas, D. H., Wixom, J. A.;
Interpolation in triangles;
Bull.\ Austral.\ Math.\ Soc.; 20; 1979; 115--130;

%Nigro1997
% larry 10sep99
\rhl{N}
\rhl{N}
\refP Nigro, A.;
Stable progressive smoothing;
\ChamonixIIIa; 311--318;

%NigroLaurent1997
% Laurent P.J. 20jan03
\rhl{}
\refJ Nigro, A., Laurent, P. J.;
Progressive stable interpolation;
\NA; 14; 1997; 343--359;

%Nikolskii1946
% shayne 29apr97
\rhl{N}
\refJ Nikol'skii, S. M.;
On the best approximation of functions satisfying a Lipschitz condition by
   polynomials;
Izv.\ Akad.\ Nauk SSSR Ser.\ Math.; 10; 1946; 295--322;
% Shows that ``algebraic polynomial approximation to smooth functions
% is better towards the endpoints of the interval''

%Nikolskii1966
% . 19nov95
\rhl{N}
\refB Nikol'skii, S. M.;
Quadrature formul\ae;
Hindustan Publishing company (); 1964;

%Nilson1970
% larry
\rhl{N}
\refJ Nilson,  E. N.;
Cubic splines on uniform meshes;
\CACM; 13; 1970;  255--258;

%Nilson1973
% carl 02feb01
\rhl{N}
\refJ Nilson,  E. N.;
Polynomial splines and a fundamental eigenvalue problem for polynomials;
\JAT; 7; 1973; 439--465;
% nullspline

%NishitaSederbergKakimoto1990
% larry
\rhl{N}
\refJ Nishita, T., Sederberg, T. W., Kakimoto, M.;
Ray tracing trimmed rational surface patches;
Computer Graphics; 24; 1990; 337--345;

%Nitsche1969
% sonya
\rhl{N}
\refJ Nitsche,  J.;
Orthogonalreihenentwicklung nach linearen Spline-Funktionen;
\JAT; 2; 1969; 66--78;

%Nitsche1969b
% larry
\rhl{N}
\refJ Nitsche,  J.;
Interpolation in Sobolevschen Funktionenr\"aumen;
\NM; 13; 1969; 334--343;

%Nitsche1969c
% larry
\rhl{N}
\refQ Nitsche,  J.;
Eine Bemerkung zur kubischen Spline-Interpolation;
(Abstract Spaces and Approximation), P. L. Butzer and B. Sz.-Nagy (eds.),
ISNM 10, Birkh\"auser (Basel); 1969; 367--372;

%Nitsche1969d
\rhl{N}
\refR Nitsche,  J.;
Charakterisierbarkeit von Funktionen durch Spline-approximationen;
xx; 1969;

%Nitsche1969e
% larry
\rhl{N}
\refJ Nitsche,  J.;
S\"atze vom Jackson-Bernstein-Typ f\"ur die Approximation mit
Spline-Funktionen;
\MZ; 109; 1969; 97--106;

%Nitsche1970
% larry
\rhl{N}
\refJ Nitsche,  J.;
Lineare Spline-Funktionen und die Methoden von Ritz f\"ur elliptische
Randwertprobleme;
Arch.\ Rat.\ Mech.\ Anal.; 36; 1970; 348--355;

%Noakes1997
% larry 10sep99
\rhl{N}
\rhl{N}
\refP Noakes, L.;
Riemannian quadratics;
\ChamonixIIIa; 319--328;

%NochettoWahlbin2000
% authors 16mar01
\rhl{}
\refR Nochetto, R. H., Wahlbin, L. B.;
Positive preserving finite element approximation;
report No.~5, 1999/2000, Institut Mittag-Leffler (xxx); 2000;
% FE version of Korovkin's result that positivity restricts approximation
% power to second order.

%Noorlag1982
% Mesghina W. Mender 20apr99
\rhl{N}
\refD Noorlag, D. J. W.;
Lateral photoeffect position-sensitive detectors;
xxx (Germany); 1982;

%Norcliff1969
\rhl{N}
\refJ Norcliff,  G. B.;
On the use and limitations of trend surface models;
Canadian Geographer; 13; 1969; 338--348;

%Nord1967
% larry
\rhl{N}
\refJ Nord,  Stig;
Approximation properties of the spline	fit;
\BIT; 7; 1967;	132--144;

%Norlund1924
\rhl{N}
\refB N\"orlund,  N. E.;
Vorlesungen \"uber Differenzenrechnung;
Grundlehren Vol.\ XIII, Springer (Berlin); 1924;

%Norsett1984
% sherm, page numbers
\rhl{N}
\refP Norsett,  S. P.;
Splines and collocation for ordinary initial value problems;
\Singh; 397--417;

%NouguesSielken1980
\rhl{N}
\refR Nougues,  A., Sielken Jr., R. L.;
A comparative study of spline regression;
A\&M; 1980;

%NovakRitter1997
% carl 26aug98
\rhl{N}
\refP Novak, E., Ritter, K.;
The curse of dimension and a universal method for numerical integration;
\Mannheimnisi; 177--188;

%Novikov1993a
% author 21feb96
\rhl{N}
\refJ Novikov, S. I.;
An analogue of the Rolle theorem for differential operators and 
   interpolation by $L$-splines (Russian);
Ukrainian Math.\ J.; 45(8); 1993; 1122--1128;

%Novikov1994a
% author 21feb96
\rhl{N}
\refJ Novikov, S. I.;
Periodic analogue of the Rolle theorem for differential operators and 
   interpolation by $L$-splines (Russian);
\MaZ; 56(4); 1994; 102--113;

%Novikov1995a
% carl 21feb96
\rhl{N}
\refJ Novikov, S. I.;
Generalization of the Rolle theorem;
\EJA; 1(4); 1995; 571--575;

%NowackiKaklisWeber1992
% scott, carl 26oct95
\rhl{N}
\refJ Nowacki,  H., Kaklis, P., Weber, J.;
Curve mesh fairing and $GC^2$ surface interpolation;
Mod\'elisation Math\'ematique et Analyse Num\'erique; 26; 1991; 113--135;

%NowackiLiuLu1990
% greg
\rhl{N}
\refJ Nowacki,  H., Liu, D., L\"u, X.;
Fairing B\'ezier curves with constraints;
\CAGD; 7; 1990; 43--55;

%NowackiLiuLu1999
\rhl{N}
\refR Nowacki,  H., Liu, D., L\"u, X.;
Mesh fairing $GC^1$ surface generation method;
xxx, 93--108; xxx;

%NowackiLu1999
\rhl{N}
\refR Nowacki,  H., L\"u, X.;
Fairing composite polynomial curves with constraints;
xxx; xxx;

%NowackiReese1985
\rhl{N}
\refP Nowacki,  H., Reese, D.;
Design and fairing of ship surfaces;
\CagdII; 121--134;

%Nurnberger1975
% larry
\rhl{N}
\refD N\"urnberger,  G.;
Dualit\"at von Schnitten f\"ur die metrische Projektion und von
Fortsetzungen kompakter Operatoren;
Univ.\ Erlangen; 1975;

%Nurnberger1976
\rhl{N}
\refR N\"urnberger,  G.;
Unicity and strong unicity in Approximation Theory;
xx; 1976;

%Nurnberger1980
% larry
\rhl{N}
\refP N\"urnberger,  G.;
Strong uniqueness of best approximations and weak Chebyshev systems;
\BonnII; 255--266;

%Nurnberger1980b
% larry
\rhl{N}
\refJ N\"urnberger,  G.;
Nonexistence of continuous selections of the metric projections and
weak Chebyshev systems;
\SJMA; 11; 1980; 460--467;

%Nurnberger1980c
\rhl{N}
\refR N\"urnberger,  G.;
Uniqueness and strong uniqueness of best approximation by spline subspaces
and other subspaces;
xx; 1980;

%Nurnberger1982a
% sherm, journal vol page numbers
\rhl{N}
\refJ N\"urnberger,  G.;
Strong unicity constants for spline functions;
\NFAO; 5; 1982; 319--347;

%Nurnberger1982b
% sherm, journal reference provided
\rhl{N}
\refJ N\"urnberger,  G.;
A local version of Haar's theorem in approximation theory;
\NFAO; 5; 1982; 21--46;

%Nurnberger1983
\rhl{N}
\refR N\"urnberger,  G.;
Strong unicity of best approximations: A numerical aspect;
Mannheim; 1983;

%Nurnberger1984
\rhl{N}
\refR N\"urnberger,  G.;
Global unicity in optimization and approximation;
ZAMM; 1984;

%Nurnberger1985
\rhl{N}
\refP N\"urnberger,  G.;
Best approximation by spline functions;
\Meinardus; 180--212;

%Nurnberger1985b
% sherm, reference provided
\rhl{N}
\refP N\"urnberger,  G.;
Unicity in semi-infinite optimization;
\Brosowski; 1985; 231--247;

%Nurnberger1985c
% sherm, journal reference provided
\rhl{N}
\refJ N\"urnberger,  G.;
Global unicity in semi-infinite optimization;
\NFAO; 8; 1985; 173--191;

%Nurnberger1987a
% sherm reference provided
\rhl{N}
\refP N\"urnberger,  G.;
Strong unicity constants in Chebyshev approximation;
\NmatVII; 144--154;

%Nurnberger1987b
% greg
\rhl{N}
\refJ N\"urnberger,  G.;
Strongly unique spline approximations with free knots;
\CA; 3; 1987; 31--42;

%Nurnberger1989a
% sherm, publisher
\rhl{N}
\refB N\"urnberger,  G.;
Approximation by Spline Functions;
Springer-Verlag (Berlin); 1989;

%Nurnberger1990
\rhl{N}
\refR N\"urnberger,  G.;
The metric projection for free knot splines;
Manuskript No.\ 112 der Fakult\"at f\"ur Mathematik und Informatik der 
Universit\"at Mannheim; 1990;

%Nurnberger1993
% carl
\rhl{N}
\refR N\"urnberger,  G.;
Approximation by univariate and bivariate splines;
Report 161, Fakult\"at f\"ur Mathematik und Informatik der U. Mannheim; 1993;
% to appear in (Second Intern.\ Colloq.\ in Numerical Analysis), D. Bainov
% (ed.), VSP, International Science publisher (The Netherlands)

%Nurnberger1994a
% carl
\rhl{N}
\refJ N\"urnberger,  G.;
Strong unicity in nonlinear approximation and free knot splines;
\CA; 10(2); 1994; 285--299;

%Nurnberger1994b
% carl
\rhl{N}
\refR N{\"u}rnberger, G.;
Approximation order of bivariate spline interpolation;
ms, dec.; 1994;

%Nurnberger1997
% larry 10sep99
\rhl{N}
\rhl{N}
\refP N\"urnberger, G.;
Optimal partitions in bivariate segment approximation;
\ChamonixIIIb; 271--278;

%Nurnberger1999
\rhl{N}
\refR N\"urnberger,  G.;
Unicity in semi-infinite optimization;
xx; 19xx;

%Nurnberger1999e
\rhl{N}
\refR N\"urnberger,  G.;
Strong unicity in nonlinear parametric optimization;
xx; 19xx;

%Nurnberger1999f
\rhl{N}
\refR N\"urnberger,  G.;
Continuous selections in Chebychev approximation;
xx; 19xx;

%Nurnberger1999g
\rhl{N}
\refR N\"urnberger,  G.;
Unicity in one-sided $L_1$ approximation and quadrature formulae;
xx; 19xx;

%Nurnberger9xa
% carl 26aug98
\rhl{N}
\refR N\"urnberger, G.;
Optimal partitions in bivariate segment approximation;
ms; 1998;

%Nurnberger9xb
% carl 26aug98
\rhl{N}
\refR N\"urnberger, G.;
Bivariate segment approximation and free knot splines;
ms; 1998;

%NurnbergerBraess1981
\rhl{N}
\refJ N\"urnberger,  G., Braess, D.;
% sherm, journal reference provided
Nonuniqueness of best $L_p$ approximation for generalized convex functions
by splines with free knots;
\NFAO; 4; 1981; 199--209;

%NurnbergerRayevskayaSchumaker2004
% larry Lai-Schumaker book
\rhl{NurRSZ04}
\refP N\"urnberger, G., Rayevskaya, V., Schumaker, L. L., Zeil\-felder, F.;
Local Lagrange interpolation with $C^2$ splines of degree seven on 
   triangulations;  
\Advances; 345--370;

%NurnbergerRiessinger1992
\rhl{N}
\refJ N\"urnberger,  G., Riessinger, Th.;
Lagrange and Hermite interpolation by bivariate splines;
\NFAO; 13; 1992; 75--96;

%NurnbergerRiessinger1995a
% carl 14sep95
\rhl{N}
\refJ N\"urnberger,  G., Riessinger, Th.;
Bivariate spline interpolation at grid points;
\NM; 71(1); 1995; 91--119;
% for a given rectangular mesh, interpolation points are chosen successively,
% starting at some arbitrary mesh point, so as to end up with a point set which
% includes all the meshpoints and is correct for the specified spline space.

%NurnbergerSchumakerSommerStrauss1983
% larry
\rhl{N}
\refJ N\"urnberger,  G., Schumaker, L. L., Sommer, M., Strauss, H.;
Interpolation by Generalized Splines;
\NM; 42; 1983; 195--212;

%NurnbergerSchumakerSommerStrauss1984
% larry
\rhl{N}
\refJ N\"urnberger,  G., Schumaker, L. L., Sommer, M., Strauss, H.;
Generalized Tchebycheffian Splines;
\SJNA; 15; 1984; 790--804;

%NurnbergerSchumakerSommerStrauss1985
% larry
\rhl{N}
\refJ N\"urnberger,  G., Schumaker, L. L., Sommer, M., Strauss, H.;
Approximation by generalized spline functions;
\JMAA; 108; 1985; 466--494;

%NurnbergerSchumakerSommerStrauss1989
% larry
\rhl{N}
\refJ N\"urnberger,  G., Schumaker, L. L., Sommer, M., Strauss, H.;
Uniform approximation by generalized splines with free knots;
\JAT; 59; 1989; 150--169;

%NurnbergerSchumakerZeilfelder2001a
% larry 21jan02
\rhl{NSSZ01}
\refP N\"urnberger, G., Schumaker, L. L., Zeilfelder, F.;
Local Lagrange interpolation by
   bivariate $C^1$ cubic splines;
\OsloII; 393--403;

%NurnbergerSchumakerZeilfelder2002
% larry 21jan02 23jun03
\rhl{NSSZ01b}
\refP N\"urnberger, G., Schumaker, L. L., Zeilfelder, F.;
Local Lagrange interpolation by $C^1$ cubic splines
   on triangulations of separable quadrangulations;
\TexasXw; 405--424;

%NurnbergerSinger1980
% larry
\rhl{N}
\refP N\"urnberger,  G., Singer, I.;
Uniqueness of best approximations in spaces of continuous functions;
\TexasIII; 687--692;

%NurnbergerSommer1975
\rhl{N}
\refR N\"urnberger,  G., Sommer, M.;
Stetige Schnitte f\"ur die metrische Projektion und Alternanten;
xx; 1975;

%NurnbergerSommer1978
% sonya
\rhl{N}
\refJ N\"urnberger,  G., Sommer, M.;
Characterization of continuous selections of the metric projection for
spline functions;
\JAT; 22; 1978; 320--330;

%NurnbergerSommer1978b
% sherm, update page numbers
\rhl{N}
\refJ N\"urnberger,  G., Sommer, M.;
Weak Chebyshev subspaces and continuous selections for the metric
projection;
\TAMS; 238; 1978; 129--138;

%NurnbergerSommer1983a
% larry
\rhl{N}
\refJ N\"urnberger,  G., Sommer, M.;
Alternation for best spline approximations;
\NM; 41; 1983; 207--221;

%NurnbergerSommer1983b
% carl
\rhl{N}
\refJ N\"urnberger,  G\"unther, Sommer, Manfred;
A Remez type algorithm for spline functions;
\NM; 41; 1983; 117--146;

%NurnbergerSommerStrauss1986
% sherm, journal reference provided
\rhl{N}
\refJ N\"urnberger,  G., Sommer, M., Strauss, H.;
An algorithm for segment approximation;
\NM; 48; 1986; 463--477;

%NurnbergerSteidlZeilfelder0x
% carl 02feb01
\rhl{NSZ}
\refR N\"urnberger, G., Steidl, G., Zeilfelder, F.;
Explicit estimates for bivariate hierarchical bases;
ms; 2000;

%NurnbergerWalz9x
% carl 20jun97
\rhl{N}
\refR N\"urnberger, G\"unther, Walz, Guido;
Error analysis in bivariate spline interpolation;
Mathematik, Universit\"at Mannheim, Nr.~223; 1997;

%NurnbergerZeilfelder0xa
% carl  02feb01
\rhl{DNZ}
\refJ  N\"urnberger, G., Zeilfelder, F.;
On bivariate spline spaces;
Mathematical Research; XXX; 2000; xxx--xxx;
% from the volume `Advances in Multivariate Approximation, W. Hau\ss mann, K.
% Jetter, M. Reimer (eds.): Wiley (xxx): 2000:

%NurnbergerZeilfelder0xa
% carl  02feb01
\rhl{NZ}
\refR N\"urnberger, G., Zeilfelder, F.;
Interpolation by splines spaces on classes of triangulations;
ms; 2000;

%NurnbergerZeilfelder0xb
% carl  02feb01
\rhl{NZ}
\refR N\"urnberger, G\"unther, Zeilfelder, Frank;
Developments in bivariate spline interpolation;
ms; 2000;

%NurnbergerZeilfelder1998
% carl 26aug98
\rhl{N}
\refP N\"urnberger, G\"unther, Zeilfelder, Frank;
Spline interpolation on convex quadrangulations;
\TexasIXc; 259--266;

%Nutbourne1986a
% carl
\rhl{N}
\refP Nutbourne,  A. W.;
A circle diagram for local differential geometry;
\SurfacesI; 59--71;

%Nutbourne1986b
% carl
\rhl{N}
\refP Nutbounre,  A. W.;
The solution of a frame matching equation;
\SurfacesI; 233--251;

%NychkaWahbaGoldfarbPugh1984
\rhl{N}
\refJ Nychka,  D., Wahba, G., Goldfarb, S., Pugh, T.;
Cross-validated spline methods for the estimation of three
dimensional tumor size distributions from observations on two
dimensional cross sections;
J.\ Amer.\ Stat.\ Assoc.; 79; 1984; 832--846;