Long-time energy conservation of numerical integrators

Hairer, Ernst

doi:10.1017/CBO9780511721571.005

Book chapter

English

Long-time energy conservation of numerical integrators

ContributorsHairer, Ernst

Published inFoundations of computational mathematics, Santander 2005, p. 162-180

PublisherCambridge : Cambridge University Press

Collection

London Math. Soc. Lecture Note Ser.; 331

Publication date2006

Abstract

This article discusses the energy conservation of a wide class of numerical integrators applied to Hamiltonian systems. It surveys known material by various illustrations, and it also contains more recent and new results.

Keywords

Hamiltonian systems
Energy conservation
Symplectic and symmetric methods
Near conservation of quadratic first integrals

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

HAIRER, Ernst. Long-time energy conservation of numerical integrators. In: Foundations of computational mathematics, Santander 2005. Cambridge : Cambridge University Press, 2006. p. 162–180. (London Math. Soc. Lecture Note Ser.) doi: 10.1017/CBO9780511721571.005

Book chapter

Identifiers

PID : unige:12115
DOI : 10.1017/CBO9780511721571.005

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Long-time energy conservation of numerical integrators

This article discusses the energy conservation of a wide class of numerical integrators applied to Hamiltonian systems. It surveys known material by various illustrations, and it also contains more recent and new results.

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