papers on numerical analysis at ftp.cs.wisc.edu/Approx

These files can be obtained by anonymous

from ftp.cs.wisc.edu/Approx. The files are postscript, and are also available as compress(ed) files, as indicated by the subscript .Z, to be uncompress(ed) before using, as well as as (shorter) gzip(ed) files, as indicated by the subscript .gz, to be extracted by gzip -d .
The files are now also available in pdf. For those from before '98, these pdf files might not look very good in an acrobat reader, but will print just fine.
If you have trouble because of file contamination, specify binary as your first command in ftp.
The files are in order of increasing age.

TPS_val.pdf
The role of inner summaries in the fast evaluation of thin-plate splines;
Michael J. Johnson
november 2011
has appeared:
\AiCM; 39(1); 2013; 1--25;

TPS_val.tar.gz
Matlab and C programs for the fast evaluation of thin-plate splines;
Michael J. Johnson
november 2011
\AiCM; 39(1); 2013; 1--25;

sym_col_fast.pdf
A symmetric collocation method with fast evaluation;
Michael Johnson
2008
appeared in
IMAJNA; 29(3); 2009; 773--789;

scattered_data_wavelets.pdf
Scattered data reconstruction by regularization in B-spline and associated wavelet spaces;
Michael Johnson, Zuowei Shen, Yugong XU
2008
appeared in
\JAT; 159(2); 2009; 197--223;

texasxi: ps ps.Z ps.gz pdf
Ideal interpolation;
Carl de Boor
dec 2004
\TexasXI; 59--91;
dec05: three footnotes added

deboor2.pdf
Divided differences;
Carl de Boor
nov 2004
Surveys in Approximation Theory; 1; 2005; 46--69;
http://www.math.technion.ac.il/sat/papers/2

efficdvd: ps ps.Z ps.gz pdf
An efficient definition of the divided difference
Carl de Boor
aug 2004
in (Approximation Theory: A Volume Dedicated to Borislav Bojanov),
D. K. Dimitrov, G. Nikolov, and R. Uluchev (eds.), Marin Drinov Academic
Publ. House (Sofia); 2004; 58--63;

floater: ps ps.Z ps.gz pdf
A divided difference expansion of a divided difference
Carl de Boor
nov 2002
\JAT; 122(1); 2003; 10--12;

leibniz: ps ps.Z ps.gz pdf
A Leibniz formula for multivariate divided differences
Carl de Boor
apr 2002
\SJNA; 41(3); 2003; 856--868;

encoan: ps ps.Z ps.gz pdf
Multivariate Hermite interpolation (talk at Guernavaca, 13apr99)
Carl de Boor
apr 1999
updated 08feb01 to conform to present-day notation
updated 20apr08 to correct some misprints

bmr: ps ps.Z ps.gz pdf
Asymptotically Optimal Approximation and Numerical Solutions of Differential Equations
Martin D. Buhmann, Charles A. Micchelli, Amos Ron
October 1996
\Powellfest; 59--82;

bennett: ps ps.Z ps.gz pdf
On determining the foot of the continental slope
Carl de Boor
November 1995
revised feb'96

sauerxu
On the Sauer-Xu formula for the error in multivariate polynomial interpolation;
Carl de Boor
March 1995
\MC; 65; 1996; 1231--1234;

multdvdf: ps ps.Z ps.gz pdf
A multivariate divided difference
Carl de Boor
March 1995
\TexasVIIIa; 87--96;
% 25mar02: supplied missing g in (4.1) and completed refs [17] and [18].

symmetries: ps ps.Z ps.gz pdf
Symmetries of linear functionals
Shayne Waldron
October 1994
\TexasVIIIa; 541--550;

extremising: ps ps.Z ps.gz pdf
Extremising the $L_p$-norm of a monic polynomial with roots in a given interval and Hermite interpolation
Shayne Waldron
May 1994

polintelim: ps ps.Z ps.gz pdf
Gauss elimination by segments and multivariate polynomial interpolation
Carl de Boor
March 1994
in (Approximation and Computation), R.V.M. Zahar (ed.),
ISNM 119, Birkh\"auser Verlag (Basel-Boston-Berlin); 1994; 1--22;

sphere: ps ps.Z ps.gz pdf
Strictly positive definite functions on spheres
Amos Ron and Xingping Sun
February 1994
\MC; 65(216); 1996; 1513--1530;

boxeval: ps ps.Z ps.gz pdf
On the evaluation of box splines,
Carl de Boor
March 1993
has appeared in Numer.Algorithms; 5; 1993; 5--23;
an alternative approach, particularly good for multiple directions, can be
found in Leif Kobbelt's paper
Stable evaluation of box splines;
\NA; 14(4); 1997; 377--382;
% available at
% http://www.mpi-sb.mpg.de/~kobbelt/papers/boxeval.ps.gz
% with the corresponding set of m-files at
% http://www.mpi-sb.mpg.de/~kobbelt/papers/boxeval.tgz

polinterr: ps ps.Z ps.gz pdf
On the error in multivariate polynomial interpolation
Carl de Boor
1991
has appeared in Applied Numerical Mathematics; 10; 1992; 297--305;

compleast
Computational aspects of polynomial interpolation in several variables
Carl de Boor, Amos Ron
March 1990
has appeared in Math.Comp.; 58; 1992; 705--727;

empty: ps ps.Z ps.gz pdf
An empty exercise
Carl de Boor
March 1990
has appeared in
ACM SIGNUM Newsletter; 25(4); 1990; 2--6;

discgreen.html
Fundamental solutions for multivariate difference equations;
Carl de Boor, Klaus H\"ollig, Sherman Riemenschneider
1988
has appeared in
\AJM; 111; 1989; 403--415;

superconvergence
Local piecewise polynomial projection methods for an O.D.E.\ which give high-order convergence at knots
Carl de Boor and Blair Swartz
summer 1980
has appeared in \MC; 36; 1981; 21--33;

colloceignumer
Collocation approximation to eigenvalues of an ordinary differential equation: Numerical illustrations;
Carl de Boor and Blair Swartz
March 1980
has appeared in \MC; 36(153); 1981; 1--19;

colloceigprinc
Collocation approximation to eigenvalues of an ordinary differential equation: The principle of the thing;
Carl de Boor and Blair Swartz
March 1979
has appeared in \MC; 35(151); 1980; 679--694;

countcomp
Comments on the comparison of global methods for linear two-point boundary
value problems;
Carl de Boor and Blair Swartz
summer 1977
has appeared in \MC; 31(140); 1977; 916--921;

goodappr: ps ps.Z ps.gz pdf
Good approximation by splines with variable knots;
Carl de Boor
1973
has appeared in \EdmontonI; 57--72;

LArep71.pdf
Subroutine Package for Calculating with B-splines;
Carl de Boor
August 1971
report LA-4728-MS Los Alamos scientific laboratory,
An extended version has appeared as
``Package for calculating with B-splines'', \SJNA, 14, 1977, 441--472.

tr20: ps ps.Z ps.gz pdf
Least Squares Cubic Spline Approximation I -- Fixed Knots
Carl de Boor, John R. Rice
CSD TR 20 April 1968

tr21: ps ps.Z ps.gz pdf
Least Squares Cubic Spline Approximation II -- Variable Knots
Carl de Boor, John R. Rice
CSD TR 21 April 1968
% error in NUBAS corrected 3oct01

bicubic.pdf
Bicubic spline interpolation;
Carl de Boor
1960
VERY LONG FILE, 4.8Mb
has appeared in
\JMP (J.Mathematics and Physics); 41(3); 1962; 212--218;