TY - JOUR
T1 - On the Solvability of General Linear Methods for Dissipative Dynamical Systems
AU - Xiao , Ai-Guo
JO - Journal of Computational Mathematics
VL - 6
SP - 633
EP - 638
PY - 2000
DA - 2000/12
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9073.html
KW - General linear methods, Dissipative dynamical systems, Weak algebraic stability, Solvability.
AB - <p style="text-align: justify;">The main purpose of the present paper is to examine the existence and local uniqueness of solutions of the implicit equations arising in the application of a weakly algebraically stable general linear methods to dissipative dynamical systems, and to extend the existing relevant results of Runge-Kutta methods by Humphries and Stuart (1994). &nbsp;</p>