Rethinking Heun's modified Euler method. Previously, we derived Heun's modified Euler method based on numerical integration via the trapezoidal rule. We now take a different viewpoint that leads to ...

SIAM Journal on Numerical Analysis, Vol. 31, No. 4 (Aug., 1994), pp. 1147-1168 (22 pages) This work analyzes the integration of initial value problems for stiff systems of ordinary differential ...

Journal of Computational Mathematics, Vol. 19, No. 3 (May 2001), pp. 259-268 (10 pages) This paper is concerned with the numerical solution of delay differential ...

Abstract: Nonlinear near methods are combined with Runge-Kutta methods to develop A-stable explicit nonlinear Runge-Kutta methods for solving stiff differential equations and a class of the third ...

Abstract: At this time, research topic about the nano scale particle dynamics simulation is an emerging research today. Some particle simulation using Euler integration method, but Euler method is the ...

A desktop application built with C# and Windows Forms that numerically solves first-order ordinary differential equations (ODEs) using the Runge-Kutta methods (RK1 ...