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

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 t...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Tselios, N G, Anastassi, Z A, Simos, T E
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 15.11.2008
Subjects
Boundary value problems
Dispersion
Measurement methods
Numerical methods
Runge-Kutta method
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:2331-8422