6 citations · 6 across the 4 of their papers we have counts for
4 papers
Numerical integrations of stochastic contact Hamiltonian systems via stochastic contact Hamilton-Jacobi equation
Qingyi Zhan, Jinqiao Duan, Xiaofan Li +1
Stochastic contact Hamiltonian systems are a class of important mathematical models, which can describe the dissipative properties with odd dimensions in the stochastic environment…
Numerical integration of stochastic contact Hamiltonian systems via stochastic Herglotz variational principle
Qingyi Zhan, Jinqiao Duan, Xiaofan Li +1
In this work we construct a stochastic contact variational integrator and its discrete version via stochastic Herglotz variational principle for stochastic contact Hamiltonian syst…
Symplectic method for Hamiltonian stochastic differential equations with multiplicative Lévy noise in the sense of Marcus
Qingyi Zhan, Jinqiao Duan, Xiaofan Li +1
A class of Hamiltonian stochastic differential equations with multiplicative Lévy noise in the sense of Marcus, and the construction and numerical implementation methods of symplec…
Symplectic Euler scheme for Hamiltonian stochastic differential equations driven by Levy noise
Qingyi Zhan, Jinqiao Duan, Xiaofan Li
This paper proposes a general symplectic Euler scheme for a class of Hamiltonian stochastic differential equations driven by Lvy noise in the sense of Marcus form. The c…