Zero Dispersion and Zero Dissipation Implicit Runge-Kutta Methods for the Numerical Solution of Oscillating IVPs

Details Zero Dispersion and Zero Dissipation Implicit Runge-Kutta Methods for the Numerical Solution of Oscillating IVPs Zero Dispersion and Zero Dissipation Implicit Runge-Kutta Methods for the Numerical Solution of Oscillating IVPs

2008-11-15

arxiv.org/abs/0811.2480v1

Mathematics

Numerical Analysis

19 pages, 6 figures

Scientific paper

In this paper we present two new methods based on an implicit Runge-Kutta
method Gauss which is of algebraic order fourth and has two stages: the first
one has zero dispersion and the second one has zero dispersion and zero
dissipation. The efficiency of these methods is measured while integrating the
radial Schr\"odinger equation and other well known initial value problems.

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