Functionally-Fitted Energy-Preserving Integrators for Poisson Systems

Xinyuan Wu () and Bin Wang ()
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Xinyuan Wu: Nanjing University, Department of Mathematics
Bin Wang: Xi’an Jiaotong University, School of Mathematics and Statistics

Chapter Chapter 4 in Geometric Integrators for Differential Equations with Highly Oscillatory Solutions, 2021, pp 123-146 from Springer

Abstract: Abstract This chapter presents a class of energy-preserving integrators for Poisson systems based on the functionally-fitted strategy, and these energy-preserving integrators can have arbitrarily high order. This approach permits us to obtain the energy-preserving methods proposed by Cohen and Hairer and Brugnano et al. for Poisson systems.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-0147-7_4

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DOI: 10.1007/978-981-16-0147-7_4

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