Conjugate-symplecticity of linear multistep methods

Hairer, Ernst

Scientific article

English

Conjugate-symplecticity of linear multistep methods

Contributors

Hairer, Ernst

Published in

Journal of Computational Mathematics, vol. 26, no. 5, p. 657-659

Publication date

2008

Abstract

For the numerical treatment of Hamiltonian differential equations, symplectic integrators are the most suitable choice, and methods that are conjugate to a symplectic integrator share the same good long-time behavior. This note characterises linear multistep methods whose underlying one-step method is conjugate to a symplectic integrator. The bounded-ness of parasitic solution components is not addressed.

Keywords

Linear multistep method
Conjugate-symplecticity

UNIGE affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

HAIRER, Ernst. Conjugate-symplecticity of linear multistep methods. In: Journal of Computational Mathematics, 2008, vol. 26, n° 5, p. 657–659.

Article (Accepted version)

Identifiers

PID : unige:5209

Additional URL for this publication

http://www.global-sci.org/jcm/volumes/v26n5/pdf/265-657.pdf

Journal ISSN

0254-9409

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316downloads

Creation

16/02/2010 11:57:00

First validation

16/02/2010 11:57:00

Update

14/03/2023 15:24:07

Status update

14/03/2023 15:24:07

Last indexation

29/10/2024 13:00:44

Conjugate-symplecticity of linear multistep methods

Contributors

Published in

Publication date

Abstract

Keywords

UNIGE affiliation entities

Citation (ISO format)

Main files (1)

Identifiers

Additional URL for this publication

Journal ISSN

Technical informations

Creation

First validation

Update

Status update

Last indexation