Title
Near-best fixed pole rational interpolation with applications in spectral methods Near-best fixed pole rational interpolation with applications in spectral methods
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
New York, N.Y. ,
Subject
Mathematics
Computer. Automation
Source (journal)
ACM transactions on mathematical software. - New York, N.Y.
Volume/pages
35(2008) :2 , 21 p.
ISSN
0098-3500
0098-3500
Article Reference
14
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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.
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