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Scientific article
Open access
English

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

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
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
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Article (Accepted version)
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ISSN of the journal0006-3835
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