Extrapolated Implicit-Explicit Runge-Kutta Methods

Angelamaria Cardone, Zdzislaw Jackiewicz, Adrian Sandu, Hong Zhang

Research output: Contribution to journalArticle

19 Scopus citations

Abstract

We investigate a new class of implicit-explicit singly diagonally implicit Runge-Kutta methods for ordinary differential equations with both non-stiff and stiff components. The approach is based on extrapolation of the stage values at the current step by stage values in the previous step. This approach was first proposed by the authors in context of implicit-explicit general linear methods.

Original languageEnglish (US)
Pages (from-to)18-43
Number of pages26
JournalMathematical Modelling and Analysis
Volume19
Issue number1
DOIs
StatePublished - Jan 1 2014

Keywords

  • Runge-Kutta methods
  • construction of highly stable methods
  • error and stability analysis
  • extrapolated IMEX methods
  • non-stiff and stiff processes

ASJC Scopus subject areas

  • Analysis
  • Modeling and Simulation

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