Construction of stability domains for explicit Runge-Kutta methods
Numerical methods and programming, Tome 10 (2009) no. 2, pp. 248-257
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An algorithm for determining the coefficients of stability polynomials in which the method under consideration has a given form and size of the stability domain is proposed.
Keywords:
stiff systems; explicit method; stability and accuracy control; stability domain.
@article{VMP_2009_10_2_a6,
author = {E. A. Novikov},
title = {Construction of stability domains for explicit {Runge-Kutta} methods},
journal = {Numerical methods and programming},
pages = {248--257},
publisher = {mathdoc},
volume = {10},
number = {2},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2009_10_2_a6/}
}
E. A. Novikov. Construction of stability domains for explicit Runge-Kutta methods. Numerical methods and programming, Tome 10 (2009) no. 2, pp. 248-257. http://geodesic.mathdoc.fr/item/VMP_2009_10_2_a6/