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Long-time energy conservation of numerical integrators

ContributorsHairer, Ernst
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
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
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