@Article{JCM-18-6, author = {Xiao, Ai-Guo}, title = {On the Solvability of General Linear Methods for Dissipative Dynamical Systems}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {6}, pages = {633--638}, abstract = {

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).  

}, issn = {1991-7139}, doi = {https://doi.org/2000-JCM-9073}, url = {https://global-sci.com/article/85587/on-the-solvability-of-general-linear-methods-for-dissipative-dynamical-systems} }