Extrapolated Implicit-Explicit Runge-Kutta Methods

Angelamaria Cardone, Zdzislaw Jackiewicz, Adrian Sandu, Hong Zhang

Research output: Contribution to journalArticle

16 Citations (Scopus)

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 2014

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Runge Kutta methods
Explicit Methods
Runge-Kutta Methods
Extrapolation
Ordinary differential equations
General Linear Methods
Implicit Runge-Kutta Methods
Ordinary differential equation
Class
Context

Keywords

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

ASJC Scopus subject areas

  • Analysis
  • Modeling and Simulation

Cite this

Extrapolated Implicit-Explicit Runge-Kutta Methods. / Cardone, Angelamaria; Jackiewicz, Zdzislaw; Sandu, Adrian; Zhang, Hong.

In: Mathematical Modelling and Analysis, Vol. 19, No. 1, 01.2014, p. 18-43.

Research output: Contribution to journalArticle

Cardone, Angelamaria ; Jackiewicz, Zdzislaw ; Sandu, Adrian ; Zhang, Hong. / Extrapolated Implicit-Explicit Runge-Kutta Methods. In: Mathematical Modelling and Analysis. 2014 ; Vol. 19, No. 1. pp. 18-43.
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