Energy conservation with non-symplectic methods: examples and counter-examples

Faou, Erwan; Hairer, Ernst; Pham, Truong-Linh

doi:10.1007/s10543-004-5240-6

Scientific article

English

Energy conservation with non-symplectic methods: examples and counter-examples

ContributorsFaou, Erwan; Hairer, Ernst; Pham, Truong-Linh

Published inBIT, vol. 44, no. 4, p. 699-709

Publication date2004

Abstract

Energy conservation of numerical integrators is well understood for symplectic one-step methods. This article provides new insight into energy conservation with non-symplectic methods. Sufficient conditions and counter-examples are presented.

Keywords

Hamiltonian systems
Energy conservation
Backward error analysis
Symmetric and symplectic methods

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

FAOU, Erwan, HAIRER, Ernst, PHAM, Truong-Linh. Energy conservation with non-symplectic methods: examples and counter-examples. In: BIT, 2004, vol. 44, n° 4, p. 699–709. doi: 10.1007/s10543-004-5240-6

Article (Accepted version)

Identifiers

PID : unige:12121
DOI : 10.1007/s10543-004-5240-6

Additional URL for this publicationhttp://www.springerlink.com/content/v64800876n362122/

Journal ISSN0006-3835

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Energy conservation with non-symplectic methods: examples and counter-examples

Energy conservation of numerical integrators is well understood for symplectic one-step methods. This article provides new insight into energy conservation with non-symplectic methods. Sufficient conditions and counter-examples are presented.

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