-------------------------------------> last change: 07jun06
Multivariate polynomial interpolation
This is work in progress, an attempt to record for handy reference various
facts concerning multivariate polynomial interpolation as I come across them.
The book %LorentzR92a, on multivariate Birkhoff interpolation, provides a
good survey.
For recent work, look for the papers of Len Bos, Mariano Gasca & Maeztu,
Hakop Hakopian & Sahakian, G.G. Lorentz & R.A. Lorentz, Thomas Sauer (& Yuan
Xu), Ian Sloan, e.g., in the
spline bibliography.
Here is a very recent
bibliography
(in postscript)
on multivariate polynomial
interpolation, which will appear as part of a survey, by Gasca and Sauer, in
a special issue of Advances in Computational Mathematics
(%GascaSauer00c).
- Hesthaven98 has near-optimal interpolation points in a triangle.