On the Solvability of General Linear Methods for Dissipative Dynamical Systems

On the Solvability of General Linear Methods for Dissipative Dynamical Systems

Year:    2000

Author:    Ai-Guo Xiao

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 6 : pp. 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).  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2000-JCM-9073

Journal of Computational Mathematics, Vol. 18 (2000), Iss. 6 : pp. 633–638

Published online:    2000-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    General linear methods Dissipative dynamical systems Weak algebraic stability Solvability.

Author Details

Ai-Guo Xiao