papers on surveys 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.
re_quak.pdf
A comment on Ewald Quak's "About B-splines";
Carl de Boor
october 2016
\JNAAT;45(1); 2016; 84--86;
dahmen: ps ps.Z
ps.gz pdf
The way things were in multivariate splines: A personal view;
Carl de Boor
april 2009
in Multiscale, Nonlinear and Adaptive Approximation, R. DeVore and A. Kunoth
(eds.), Springer Verlag (Berlin-Heidelberg, Germany); 2009; 19--37;
cagdhand: ps ps.Z
ps.gz pdf
Spline Basics
Carl de Boor
dec 2000
Chapter 6 in \Cagdhand; see (cagd.snu.ac.kr/main.html)
SIsurvey: ps ps.Z
ps.gz pdf
Introduction to Shift-Invariant Spaces I: Linear Independence
Amos Ron
dec 1999
to appear in
(Multivariate Approximation and Applications),
A. Pinkus, D. Leviatan, N. Dyn, and D. Levin (eds.),
Cambridge University Press (Cambridge); 200x; xxx--xxx;
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
texas9: ps ps.Z
ps.gz pdf
Wavelets and their associated operators
Amos Ron
July 1998
\TexasIXc; 283--317;
multpp: ps ps.Z
ps.gz pdf
Multivariate piecewise polynomials,
Carl de Boor
October 1992
has appeared in Acta Numerica; 2; 1993; 65--109;
polintconte: ps ps.Z
ps.gz pdf
Polynomial interpolation in several variables
Carl de Boor
March 1990
has appeared in
(Studies in Computer Science {(in Honor of Samuel D. Conte)}),
R. DeMillo and J. R. Rice (eds.), Plenum Press (New York); 1994; 87--119;
whatisspline: ps ps.Z
ps.gz pdf
What is a multivariate spline?
Carl de Boor
August 1987
has appeared
(Proc.\ First Intern.\ Conf.\ Industr.\ Applied Math., Paris 1987), J.\
McKenna and R. Temam (eds.), SIAM (Philadelphia PA); 1988; 90--101;
birmingham: ps ps.Z
ps.gz pdf
Multivariate Approximation
Carl de Boor
MRC 2950, August 1986
in (State of the Art in Numerical Analysis),
A. Iserles and M. Powell (eds.),
Institute Mathematics Applications (Essex); 1987; 87--109;
% 10mar09: some references, some notation (for pol.spaces, intervals, etc)
% updated; unfortunately, the picture files are lost.
lancaster_lectures.pdf
Topics in multivariate approximation theory
C. de Boor
May 1982
TSR #2379, Mathematics Research Center, University of Wisconsin-Madison
survey76: ps ps.Z
ps.gz pdf
Splines as linear combinations of B-splines. A Survey
Carl de Boor
1976
has appeared in \TexasII; 1--47;
% corrected version (with updated references) 19sep97
% left off an extraneous label (6.1) 01aug03
birkhoff.pdf
Piecewise polynomial interpolation and approximation;
Garrett Birkhoff and Carl R. de Boor;
1965
VERY LONG FILE, 8.1Mb
has appeared in
\Generalmotors; 164--190;