Research on a Class of Fourth-order Rouge-Kutta Algorithm for Real-Time Simulation

摘要

From the basic idea of the real-time Runge-Kutta (RK) algorithm, some parametric equations satisfied the general form of the real-time fourth-order RK algorithm are derived. Then the coefficients of truncation error are deduced based on the analysis for local truncation errors of real-time RK algorithm. Finally a new formula of the real-time RK algorithm is proposed according to the related equations of the stability region and truncation errors. The new algorithm formula would distinctly reduce the truncation errors for some real-time simulation questions, thus it can be applied in a extensive area.