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
Recent research for parallel numerics of time-dependent PDEs provokes fast growing interest for the study of parallel-in-time(PinT)algorithms,because in man
This talk is divided into two parts.In the first part we consider strong convergence of semidiscrete finite element method for stochastic partial differenti
In this talk,we develop a new technique to study the optimal convergence orders of collocation methods for Volterra functional integral equations with vanis