In the study of symplectic integrators,long-time near-conservation of first integrals were numerically validated and rigorously analyzed by using backward e
In this talk,we present a linearly implicit energy-conserving scheme for the numerical integration of the Camassa-Holm equation by using the multiple scalar
Order conditions for two-derivative Runge-Kutta-Nystr(o)m(TDRKN)methods are obtained via the Nystr(o)m tree theory and the B-series theory.Trigonometric fit
In this paper,we study the linearly damped stochastic differential equations,which have the invariants satisfying a linear differential equation whose coeff
In the last few decades,Runge-Kutta-Nystr"om(RKN) methods have made significant progress and the study of RKN-type methods for solving highly oscillatory d