A misprint in the coefficients of Hammud's scheme
Numerical methods and programming, Tome 8 (2007) no. 1, pp. 35-37
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{VMP_2007_8_1_a5,
author = {E. A. Alshina and E. M. Zaks and N. N. Kalitkin},
title = {A misprint in the coefficients of {Hammud's} scheme},
journal = {Numerical methods and programming},
pages = {35--37},
publisher = {mathdoc},
volume = {8},
number = {1},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2007_8_1_a5/}
}
E. A. Alshina; E. M. Zaks; N. N. Kalitkin. A misprint in the coefficients of Hammud's scheme. Numerical methods and programming, Tome 8 (2007) no. 1, pp. 35-37. http://geodesic.mathdoc.fr/item/VMP_2007_8_1_a5/