Numerical integration of stochastic contact Hamiltonian systems via stochastic Herglotz variational principle

Jinqiao Duan; Qingyi Zhan; Xiaofan Li; Yuhong Li

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Numerical integration of stochastic contact Hamiltonian systems via stochastic Herglotz variational principle

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arxiv 2207.11215 v1 pith:PDDN7AUT submitted 2022-07-22 math.NA cs.NA

Qingyi Zhan , Jinqiao Duan , Xiaofan Li , Yuhong Li This is my paper · ORCID

classification math.NAcs.NA

keywords stochasticcontactvariationalhamiltonianherglotznumericalprinciplesystems

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In this work we construct a stochastic contact variational integrator and its discrete version via stochastic Herglotz variational principle for stochastic contact Hamiltonian systems. A general structure-preserving stochastic contact method is devised, and the stochastic contact variational integrators are established. The implementation of this approach is validated by the numerical experiments.

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