Extrapolated Implicit-Explicit Runge-Kutta Methods

Angelamaria Cardone; Zdzislaw Jackiewicz; Adrian Sandu; Hong Zhang

doi:10.3846/13926292.2014.892903

Extrapolated Implicit-Explicit Runge-Kutta Methods

Angelamaria Cardone
, Zdzislaw Jackiewicz
, Adrian Sandu
, Hong Zhang

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

33 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 language	English (US)
Pages (from-to)	18-43
Number of pages	26
Journal	Mathematical Modelling and Analysis
Volume	19
Issue number	1
DOIs	https://doi.org/10.3846/13926292.2014.892903
State	Published - Jan 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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10.3846/13926292.2014.892903

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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.",

keywords = "Runge-Kutta methods, construction of highly stable methods, error and stability analysis, extrapolated IMEX methods, non-stiff and stiff processes",

author = "Angelamaria Cardone and Zdzislaw Jackiewicz and Adrian Sandu and Hong Zhang",

note = "Funding Information: This work was supported by National Group of Computing Science (GNCS-INDAM): GNCS 2014 Projects ”Stabilit{\`a} nella modellistica numerica di equazioni differenziali ed integrali”.",

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AU - Cardone, Angelamaria

AU - Jackiewicz, Zdzislaw

AU - Sandu, Adrian

AU - Zhang, Hong

N1 - Funding Information: This work was supported by National Group of Computing Science (GNCS-INDAM): GNCS 2014 Projects ”Stabilità nella modellistica numerica di equazioni differenziali ed integrali”.

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N2 - 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.

AB - 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.

KW - Runge-Kutta methods

KW - construction of highly stable methods

KW - error and stability analysis

KW - extrapolated IMEX methods

KW - non-stiff and stiff processes

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JO - Mathematical Modelling and Analysis

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Extrapolated Implicit-Explicit Runge-Kutta Methods

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Keywords

ASJC Scopus subject areas

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