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Linear EnergyPreserving Integrators for Poisson Systems

Cohen, David and Hairer, Ernst. (2010) Linear EnergyPreserving Integrators for Poisson Systems. Preprints Fachbereich Mathematik, 2010 (02).

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Official URL: https://edoc.unibas.ch/70051/

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Abstract

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.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Numerik (Cohen)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Cohen, David
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:13 May 2019 19:47
Deposited On:28 Mar 2019 09:52

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