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Functionally-fitted energy-preserving integrators for Poisson systems

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arxiv 1712.06084 v1 pith:EXWNWG4R submitted 2017-12-17 math.NA cs.NA

Bin Wang , Xinyuan Wu This is my paper · ORCID
classification math.NAcs.NA
keywords energy-preservingintegratorspoissonsystemsfunctionally-fittedorderproposedallows
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In this paper, a new class of energy-preserving integrators is proposed and analysed for Poisson systems by using functionally-fitted technology. The integrators exactly preserve energy and have arbitrarily high order. It is shown that the proposed approach allows us to obtain the energy-preserving methods derived in BIT 51 (2011) by Cohen and Hairer and in J. Comput. Appl. Math. 236 (2012) by Brugnano et al. for Poisson systems. Furthermore, we study the sufficient conditions that ensure the existence of a unique solution and discuss the order of the new energy-preserving integrators.

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