Energy-preserving methods for Poisson systems
نویسندگان
چکیده
منابع مشابه
Energy-preserving methods for Poisson systems
We present and analyze energy-conserving methods for the numerical inte-gration of IVPs of Poisson type systems that are able to preserve some Casimirs.Their derivation and analysis is done within the framework following the ideasof Hamiltonian BVMs (HBVMs) (see [1] and references therein). The pro-posed methods turn out to be equivalent to those recently derived in [2], giv...
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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 ...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2012
ISSN: 0377-0427
DOI: 10.1016/j.cam.2012.02.033