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

Authors
Faou, Erwan
Pham, Truong-Linh
Published in BIT Numerical Mathematics. 2004, vol. 44, no. 4, p. 699-709
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 systemsEnergy conservationBackward error analysisSymmetric and symplectic methods
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FAOU, Erwan, HAIRER, Ernst, PHAM, Truong-Linh. Energy conservation with non-symplectic methods: examples and counter-examples. In: BIT Numerical Mathematics, 2004, vol. 44, n° 4, p. 699-709. https://archive-ouverte.unige.ch/unige:12121

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Deposited on : 2010-10-15

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