Modified differential equations

Chartier, Philippe; Hairer, Ernst; Vilmart, Gilles

doi:10.1051/proc:072102

Scientific article

English

Modified differential equations

ContributorsChartier, Philippe; Hairer, Ernst; Vilmart, Gilles

Published inESAIM. Proceedings, vol. 21, p. 16-20

Publication date2007

Abstract

Motivated by the theory of modified differential equations (backward error analysis) an approach for the construction of high order numerical integrators that preserve geometric properties of the exact flow is developed. This summarises a talk presented in honour of Michel Crouzeix.

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

CHARTIER, Philippe, HAIRER, Ernst, VILMART, Gilles. Modified differential equations. In: ESAIM. Proceedings, 2007, vol. 21, p. 16–20. doi: 10.1051/proc:072102

Article (Published version)

Identifiers

PID : unige:12055
DOI : 10.1051/proc:072102

Additional URL for this publicationhttp://www.edpsciences.org/10.1051/proc:072102

Journal ISSN1270-900X

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Modified differential equations

Motivated by the theory of modified differential equations (backward error analysis) an approach for the construction of high order numerical integrators that preserve geometric properties of the exact flow is developed. This summarises a talk presented in honour of Michel Crouzeix.

Technical informations