Three-Stage Two-Parameter Symplectic, Symmetric Exponentially-Fitted Runge-Kutta Methods of Gauss Type

摘要

We construct an exponentially-fitted variant of the well-known three stage Runge-Kutta method of Gauss-type. The new method is symmetric and symplectic by construction and it contains two parameters, which can be tuned to the problem at hand. Some numerical experiments are given.