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Volume 18, Issue 6
On the Solvability of General Linear Methods for Dissipative Dynamical Systems

Ai-Guo Xiao

J. Comp. Math., 18 (2000), pp. 633-638.

Published online: 2000-12

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  • 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).  

  • Keywords

General linear methods, Dissipative dynamical systems, Weak algebraic stability, Solvability.

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-633, 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/}, url = {http://global-sci.org/intro/article_detail/jcm/9073.html} }
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 -

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).  

Ai-Guo Xiao. (1970). On the Solvability of General Linear Methods for Dissipative Dynamical Systems. Journal of Computational Mathematics. 18 (6). 633-638. doi:
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