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Linear energy-preserving integrators forPoisson systems

Cohen, David ; Hairer, Ernst

In: BIT Numerical Mathematics, 2011, vol. 51, no. 1, p. 91-101

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    Titre
    • Linear energy-preserving integrators forPoisson systems
    Auteur
    • Cohen, David. Mathematisches Institut, Universität Basel, 4051, Basel, Switzerland
    • Hairer, Ernst. Section de Mathématiques, Université de Genève, 1211, Genève 4, Switzerland
    Type de document
    • Postprint
    Langue
    • Inglese
    Publié dans
    • BIT Numerical Mathematics, 2011, vol. 51, no. 1, p. 91-101. Springer Netherlands
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:312473
    Summary
    For Hamiltonian systems with non-canonical structure matrix a new class of numerical integrators is proposed. The methods exactly preserve energy, are invariant with respect to linear transformations, and have arbitrarily high order. Those of optimal order also preserve quadratic Casimir functions. The discussion of the order is based on an interpretation as partitioned Runge-Kutta method with infinitely many stages