TY - JOUR
T1 - Convergence Results of Runge-Kutta Methods for Multiply-Stiff Singular Perturbation Problems
AU - Xiao , Ai-Guo
JO - Journal of Computational Mathematics
VL - 3
SP - 325
EP - 336
PY - 2002
DA - 2002/06
SN - 20
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8921.html
KW - Singular perturbation problems, Runge-Kutta methods, Convergence, Multiple-stiffness.
AB - <p style="text-align: justify;">The main purpose of this paper is to present some convergence results for algebraically stable Runge-Kutta methods applied to some classes of one- and two-parameter multiply-stiff singular perturbation problems whose stiffness is caused by small parameters and some other factors. A numerical example confirms our results.</p>