Convergence results for multistep Runge-Kutta methods on stiff mechanical systems

Schneider, Stefan

doi:10.1007/s002110050105

Scientific article

English

Convergence results for multistep Runge-Kutta methods on stiff mechanical systems

ContributorsSchneider, Stefan

Published inNumerische Mathematik, vol. 69, no. 4, p. 495-508

Publication date1995

Abstract

Recently Ch. Lubich proved convergence results for Runge-Kutta meth-ods applied to stiff mechanical systems. The present paper discusses the new ideas necessary to extend these results to general linear methods, in particular BDF and multistep Runge-Kutta methods.

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

SCHNEIDER, Stefan. Convergence results for multistep Runge-Kutta methods on stiff mechanical systems. In: Numerische Mathematik, 1995, vol. 69, n° 4, p. 495–508. doi: 10.1007/s002110050105

Article (Published version)

Identifiers

PID : unige:76258
DOI : 10.1007/s002110050105

Commercial URLhttp://link.springer.com/10.1007/s002110050105

Journal ISSN0029-599X

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Convergence results for multistep Runge-Kutta methods on stiff mechanical systems

Recently Ch. Lubich proved convergence results for Runge-Kutta meth-ods applied to stiff mechanical systems. The present paper discusses the new ideas necessary to extend these results to general linear methods, in particular BDF and multistep Runge-Kutta methods.

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