TY - JOUR
T1 - Order Results of General Linear Methods for Multiply Stiff Singular Perturbation Problems
AU - Gan , Si-Qing
AU - Sun , Geng
JO - Journal of Computational Mathematics
VL - 5
SP - 525
EP - 532
PY - 2002
DA - 2002/10
SN - 20
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8937.html
KW - Singular perturbation problem, Stiffness, General linear method, Global error estimate.
AB - <p style="text-align: justify;">In this paper we analyze the error behavior of general linear methods applied to some classes of one-parameter multiply stiff singularly perturbed problems. We obtain the global error estimate of algebraically and diagonally stable general linear methods. The main result of this paper can be viewed as an extension of that obtained by Xiao [13] for the case of Runge-Kutta methods.</p>