Kybernetika 50 no. 5, 838-847, 2014

A modified version of explicit Runge-Kutta methods for energy-preserving

Guang-Da HuDOI: 10.14736/kyb-2014-5-0838

Abstract:

In this paper, Runge--Kutta methods are discussed for numerical solutions of conservative systems. For the energy of conservative systems being as close to the initial energy as possible, a modified version of explicit Runge--Kutta methods is presented. The order of the modified Runge--Kutta method is the same as the standard Runge--Kutta method, but it is superior in energy-preserving to the standard one. Comparing the modified Runge--Kutta method with the standard Runge--Kutta method, numerical experiments are provided to illustrate the effectiveness of the modified Runge--Kutta method.

Keywords:

energy-preserving, explicit Runge-Kutta methods, gradient

Classification:

65L05, 65L07

paper.pdf

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