Energy Conservation with Non-Symplectic Methods: Examples and Counter-Examples |
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| Authors: | Erwan?Faou mailto:Erwan.Faou@irisa.fr" title=" Erwan.Faou@irisa.fr" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Ernst?Hairer,Truong-Linh?Pham |
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| Affiliation: | (1) INRIA Rennes, Campus Beaulieu, F-35042 Rennes Cedex, France;(2) Section de Mathématiques, Univ. de Genève, CH-1211 Genève 24, Switzerland |
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| 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.AMS subject classification (2000) 65L06, 65P10, 37J99.Submitted June 2004. Accepted October 2004. Communicated by Syvert Nørsett. |
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| Keywords: | Hamiltonian systems energy conservation backward error analysis symmetric and symplectic methods |
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