25 citations · 39 across the 8 of their papers we have counts for
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Symmetric integrators based on continuous-stage Runge-Kutta-Nystrom methods for reversible systems
Wensheng Tang, Jingjing Zhang
In this paper, we study symmetric integrators for solving second-order ordinary differential equations on the basis of the notion of continuous-stage Runge-Kutta-Nystrom methods. T…
Stochastic K-symplectic integrators for stochastic non-canonical Hamiltonian systems and applications to the Lotka--Volterra model
Jialin Hong, Lihai Ji, Xu Wang +1
We give a theoretical framework of stochastic non-canonical Hamiltonian systems as well as their modified symplectic structure which is named stochastic K-symplectic structure. The…
Symplecticity-preserving continuous-stage Runge-Kutta-Nyström methods
Wensheng Tang, Jingjing Zhang
We develop continuous-stage Runge-Kutta-Nyström (csRKN) methods for solving second order ordinary differential equations (ODEs) in this paper. The second order ODEs are commonly en…
Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise
Weien Zhou, Jingjing Zhang, Jialin Hong +1
In this paper, we construct stochastic symplectic Runge--Kutta (SSRK) methods of high strong order for Hamiltonian systems with additive noise. By means of colored rooted tree theo…
High order symplectic integrators based on continuous-stage Runge-Kutta Nystrom methods
Wensheng Tang, Yajuan Sun, Jingjing Zhang
On the basis of the previous work by Tang \& Zhang (Appl. Math. Comput. 323, 2018, p. 204--219), in this paper we present a more effective way to construct high-order symplectic in…
Discrete Hamiltonian Variational Integrators
Melvin Leok, Jingjing Zhang
We consider the continuous and discrete-time Hamilton's variational principle on phase space, and characterize the exact discrete Hamiltonian which provides an exact correspondence…