We discussed three-stage semi-implicit stochastic Runge-Kutta methods for Stratonovich stochastic differential equations.

Based on shallow acoustic communication channel model,we establish a multi-paths model of linear frequency modulation(LFM) with cyclic-correlation characteristics,and calculate the theoretical value of intrinsic sound ray using Runge-Kutta method,and detect the result with the copy correlation testing method.

Flexible Cloth Simulation Based on Self-Adaptive Runge-Kutta Method;

The purpose of this paper is compare the Euler method and the Runge-kutta method in obtaining the solution of the Lagrange equation for oil spill trajectories by numerical experiments,and to apply the Lagrange trajectories model to forecasting the spill caused by oil tanker ARTEAGA near Dalian.

The numerical results were compared with the exact solutions and what obtained by using Runge-Kutta method.

The stability of Runge-Kutta methods for nonlinear MDDEs;

A Simple Application of Runge-kutta in Fuzzy Control;

The Improvement of the Variational Step Method Based on Runge-Kutta;

The 4th order Runge-Kutta and differential approaches combined with spline or polynomial fit were used to work out these parameters, and the effects of deviation and amount of experimental data on the calculated results were analyzed in detail.

How to use Runge-Kutta method to resolve second-order ordinary differential equation of electrochemistry is presented with the source code of Visual Basic 6.

Four-order-Runge-Kutta method is used to compute the differential equations.

In order to research the factors which influence the sliding behavior of active fault,the single degree freedom of springblock model and the rate-state dependent friction law are introduced,the static force equation of spring-block is built,and the Runge-Kutta method is used to solve the nonlinear equations.

The characteristic method and the classical Runge-Kutta method were adopted for simulation.