Diagonal implicit symplectic ERKN methods for solving oscillatory Hamiltonian systems

Mingxue Shi, Hao Zhang, Bin Wang

This paper studies diagonal implicit symplectic extended Runge--Kutta--Nyström (ERKN) methods for solving the oscillatory Hamiltonian system $H(q,p)=\dfrac{1}{2}p^{T}p+\dfrac{1}{2}…