papers from 2000-04 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.
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
monomint: ps ps.Z
ps.gz pdf
Interpolation from spaces spanned by monomials
Carl de Boor
aug 2004
\AiCM; 26(1-3); 2007; 63--70;
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;
olgamos: ps ps.Z
ps.gz pdf
Approximation order of shift-invariant subspaces of $W_s^2(R^d)$
Olga Holtz and Amos Ron
May 2004
\JAT; 132; 2005; 97--148;
radpol: ps ps.Z
ps.gz pdf
On interpolation by radial polynomials
Carl de Boor
dec 2003
as of 21jul04/23feb04
\AiCM; 24; 2006; 143--153;
asympterr: ps ps.Z
ps.gz pdf
An asymptotic expansion for the error in a linear map that reproduces polynomials of a certain order
Carl de Boor
apr 2003
\JAT; 134; 2005; 171--174;
chakpop: ps ps.Z
ps.gz pdf
The B-spline recurrence relations of Chakalov and of Popoviciu
Carl de Boor and Allan Pinkus
mar 2003
\JAT; 124(1); 2003; 115--123;
gsi: ps ps.Z
ps.gz pdf
Generalized shift-invariant systems
Amos Ron and Zuowei Shen
jan 2003
\CA; 22; 2005; 1--45;
rbf_err_anal: ps ps.Z
ps.gz pdf
An error analysis for radial basis function interpolation
Michael J. Johnson
jan 2003
has appeared
\NM; 98; 2004; 675--694;
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;
Lp_order_SSI: ps ps.Z
ps.gz pdf
The $L_p$ approximation order of surface spline interpolation for $1\le p \le 2$
Michael J. Johnson
apr 2002
\CA; 20(2); 2004; 133--167;
dim1: ps ps.Z
ps.gz pdf
The Wavelet Dimension Function is The Trace Function of A Shift-Invariant System
Amos Ron, Zuowei Shen
jun 2001
\PAMS; 131(5); 2003;1385--1398;
dhrs: ps ps.Z
ps.gz pdf
Framelets: MRA-based constructions of wavelet frames
Ingrid Daubechies, Bin Han, Amos Ron, Zuowei Shen
feb 2001
\ACHA; 14; 2003; 1--46;
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)
inverse_basis: ps ps.Z
ps.gz pdf
What is the inverse of a basis?
Carl de Boor
sep 2000
BIT; 41(5); 2001; 880--890;
(the printed version contains a random 7 right in the middle of (4.2), the most
important formula of the paper, and an extra p in the first display on page 889)
interpolatepsi: ps ps.Z
ps.gz pdf
Scattered data interpolation from principal shift-invariant spaces
Michael J. Johnson
feb 2000
\JAT; 113; 2001; 172--188;