论文标题

随机Herglotz变异原理的随机接触汉密尔顿系统的数值整合

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

论文作者

Zhan, Qingyi, Duan, Jinqiao, Li, Xiaofan, Li, Yuhong

论文摘要

在这项工作中,我们通过随机Herglotz的随机接触汉密尔顿系统构建了随机触点变分积分及其离散版本。设计了一般结构的随机接触方法,并建立了随机触点变分积分器。该方法的实现通过数值实验验证。

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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