Publication
Title
Near-best fixed pole rational interpolation with applications in spectral methods
Author
Abstract
We present a numerical procedure to compute the nodes and weights in rational Gauss-Chebyshev quadrature formulas. Under certain conditions on the poles, these nodes are near best for rational interpolation with prescribed poles (in the same sense that Chebyshev points are near best for polynomial interpolation). As an illustration, we use these interpolation points to solve a differential equation with an interior boundary layer using a rational spectral method. The algorithm to compute the interpolation points (and, if required, the quadrature weights) is implemented as a Matlab program.
Language
English
Source (journal)
ACM transactions on mathematical software. - New York, N.Y.
Publication
New York, N.Y. : 2008
ISSN
0098-3500
Volume/pages
35:2(2008), 21 p.
Article Reference
14
ISI
000259433200006
Medium
E-only publicatie
Full text (Publisher's DOI)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 03.01.2013
Last edited 17.06.2017
To cite this reference