A chebyshev collocation method for stiff initial value problems and its stability

Sangdong Kim, Jongkyum Kwon, Xiangfan Piao, Philsu Kim

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

The Chebyshev collocation method in [21] to solve stiff initial-value problems is generalized by using arbitrary degrees of interpolation polynomials and arbitrary collocation points. The convergence of this generalized Chebyshev collocation method is shown to be independent of the chosen collocation points. It is observed how the stability region does depend on collocation points. In particular, A-stability is shown by taking the mid points of nodes as collocation points.

Original languageEnglish
Pages (from-to)435-456
Number of pages22
JournalKyungpook Mathematical Journal
Volume51
Issue number4
DOIs
StatePublished - Dec 2011

Keywords

  • Absolute stability
  • BDF-type methods
  • Chebyshev Collocation method
  • Stiff initial-value problem

Fingerprint

Dive into the research topics of 'A chebyshev collocation method for stiff initial value problems and its stability'. Together they form a unique fingerprint.

Cite this