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Linear energy-preserving integrators for Poisson systems
Mathematisches Institut, Universität Basel.ORCID iD: 0000-0001-6490-1957
Section de Mathématiques, Université de Genève.
2011 (English)In: BIT Numerical Mathematics, ISSN 0006-3835, E-ISSN 1572-9125, Vol. 51, no 1, 91-101 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2011. Vol. 51, no 1, 91-101 p.
Keyword [en]
Poisson system, Energy preservation, Casimir function, Partitioned Runge-Kutta method, Collocation, Gaussian quadrature
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-59156DOI: 10.1007/s10543-011-0310-zISI: 000288707100005OAI: oai:DiVA.org:umu-59156DiVA: diva2:551362
Available from: 2012-09-11 Created: 2012-09-10 Last updated: 2017-12-07Bibliographically approved

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