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JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 2007 Volume 8, Issue 1, Pages 35–37 (Mi vmp468)

Вычислительные методы и приложения

A misprint in the coefficients of Hammud's scheme

E. A. Alshinaa, E. M. Zaksb, N. N. Kalitkina

a Institute for Mathematical Modelling, Russian Academy of Sciences, Moscow
b Moscow State Institute of Electronic Technology (Technical University)

Abstract: An interesting explicit sixth order seven-stage Runge-Kutta scheme was proposed in the literature. As a result of our testing, however, it was found that there exists a misprint in this scheme, which decreases its realistic convergence order down to the first one. We found and correct this misprint.

Keywords: ordinary differential equations, Runge-Kutta methods, multi-stage formulas, Cauchy problem.

UDC: 519.622



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