BIT Numerical Mathematics

, Volume 44, Issue 4, pp 699–709 | Cite as

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

  • Erwan Faou
  • Ernst Hairer
  • Truong-Linh Pham


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.


Hamiltonian systems energy conservation backward error analysis symmetric and symplectic methods 


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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  1. 1.INRIA RennesRennes CedexFrance
  2. 2.Section de MathématiquesUniv. de GenèveGenève 24Switzerland

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