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
to appear in
\AiCM
TPS_val.tar.gz
Matlab and C programs for the fast evaluation of thin-plate splines;
Michael J. Johnson
november 2011
to appear in
\AiCM
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
dec04
\TexasXI; 59--91;
dec05: three footnotes added
dvdsurvey.: ps ps.Z
ps.gz pdf
Divided differences;
Carl de Boor
nov04
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
aug04
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
nov02
\JAT; 122(1); 2003; 10--12;
leibniz.: ps ps.Z
ps.gz pdf
A Leibniz formula for multivariate divided differences
Carl de Boor
apr02
\SJNA; 41(3); 2003; 856--868;
encoan.: ps ps.Z
ps.gz pdf
Multivariate Hermite interpolation (talk at Guernavaca, 13apr99)
Carl de Boor
apr99
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.: ps ps.Z
ps.gz pdf
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.: ps ps.Z
ps.gz pdf
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;
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;