Stability analysis of time-point relaxation Runge-Kutta methods with respect to tridiagonal systems of differential equations

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Abstract

We investigate stability properties of time-point relaxation Runge-Kutta methods with respect to the tridiagonal systems of ordinary differential equations with two real parameters. Stability regions for these methods are compared with the corresponding regions of the underlying Runge-Kutta methods.

Original languageEnglish (US)
Pages (from-to)189-209
Number of pages21
JournalApplied Numerical Mathematics
Volume11
Issue number1-3
DOIs
StatePublished - Jan 1993

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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