Change search
ReferencesLink to record
Permanent link

Direct link
Linear energy-preserving integrators for Poisson systems
Mathematisches Institut, Universität Basel.
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
URN: urn:nbn:se:umu:diva-59156DOI: 10.1007/s10543-011-0310-zISI: 000288707100005OAI: diva2:551362
Available from: 2012-09-11 Created: 2012-09-10 Last updated: 2012-10-22Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Cohen, David
In the same journal
BIT Numerical Mathematics
Computational Mathematics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 26 hits
ReferencesLink to record
Permanent link

Direct link