FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 4, PAGES 1131-1140

G. Yu. Kulikov

Abstract

View as HTML
View as gif image
View as LaTeX source

In the paper we investigate the property of symmetry for Runge--Kutta methods. We prove that methods possessing such property are fully implicit, and they can be constructed by the Gauss and Lobatto quadrature formulas. But only the Gauss formulas give algebraically stable Runge--Kutta methods.

All articles are published in Russian.

Main page | Contents of the journal | News | Search |

Location: http://mech.math.msu.su/~fpm/eng/k00/k004/k00412h.htm

Last modified: February 13, 2001