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Energy Conservation with Non-Symplectic Methods: Examples and Counter-Examples

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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.

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Authors and Affiliations

  1. INRIA Rennes, Campus Beaulieu, F-35042, Rennes Cedex, France

    Erwan Faou

  2. Section de Mathématiques, Univ. de Genève, CH-1211, Genève 24, Switzerland

    Ernst Hairer & Truong-Linh Pham

Authors
  1. Erwan Faou
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  2. Ernst Hairer
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  3. Truong-Linh Pham
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Corresponding author

Correspondence to Erwan Faou.

Additional information

AMS subject classification (2000)

65L06, 65P10, 37J99.

Submitted June 2004. Accepted October 2004. Communicated by Syvert Nørsett.

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Faou, E., Hairer, E. & Pham, TL. Energy Conservation with Non-Symplectic Methods: Examples and Counter-Examples. Bit Numer Math 44, 699–709 (2004). https://doi.org/10.1007/s10543-004-5240-6

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  • DOI: https://doi.org/10.1007/s10543-004-5240-6

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