Optimized point shifts and poles in the linear rational pseudospectral method for boundary value problems
- Berrut, Jean-Paul Department of Mathematics, Fribourg University, Switzerland
- Mittelmann, Hans D. Department of Mathematics, Arizona State University, Tempe, USA
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30.11.2004
Published in:
- Journal of Computational Physics. - 2005, vol. 204, no. 292-301
two-point boundary value problems
linear rational collocation
pole optimization
mesh generation
point shift optimization
English
Due to their rapid – often exponential – convergence as the number N of interpolation/collocation points is increased, polynomial pseudospectral methods are very efficient in solving smooth boundary value problems. However, when the solution displays boundary layers and/or interior fronts, this fast convergence will merely occur with very large N. To address this difficulty, we present a... Show more…
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 4151
- DOI 10.1016/j.jcp.2004.10.009
- Persistent URL
- https://folia.unifr.ch/unifr/documents/299656