An additive semi-implicit Runge-Kutta family of schemes for nonstiff systems

C. Pantano

Research output: Contribution to journalArticlepeer-review

Abstract

An additive semi-implicit third-order Runge-Kutta family of schemes for nonstiff systems of equations is presented. These schemes involve a single implicit stage and two explicit stages and posses a linear stability domain that is larger than that of explicit Runge-Kutta schemes of the same order. The improved stability domain can be useful in some problems involving large systems of equations where a few components impose too stringent time-step limitations.

Original languageEnglish (US)
Pages (from-to)297-303
Number of pages7
JournalApplied Numerical Mathematics
Volume57
Issue number3
DOIs
StatePublished - Mar 2007

Keywords

  • Additive semi-implicit Runge-Kutta
  • Numerical methods
  • Time integration

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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