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Title: Algorithm 882: Near best fixed pole rational interpolation with applications in spectral methods
Authors: Van Deun, Joris ×
Deckers, Karl
Bultheel, Adhemar
Weideman, J.A.C. #
Issue Date: Jul-2008
Publisher: Association for Computing Machinery
Series Title: ACM Transactions on Mathematical Software vol:35 issue:2 pages:1-21
Article number: 14
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.
URI: 
ISSN: 0098-3500
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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