5 citations · 5 across the 1 of their papers we have counts for
2 papers
math.NA2015★ 5 cited
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…
math.NA2012
The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the Averaged Vector Field method
Elena Celledoni, Brynjulf Owren, Yajuan Sun
No Runge-Kutta method can be energy preserving for all Hamiltonian systems. But for problems in which the Hamiltonian is a polynomial, the Averaged Vector Field (AVF) method can be…