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Volume 9, Issue 2
Nonlinear Stability of General Linear Methods

Shou-Fu Li

J. Comp. Math., 9 (1991), pp. 97-104.

Published online: 1991-09

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  • Abstract

This paper is devoted to a study of stability of general linear methods for the numerical solution of nonlinear stiff initial value problems in a Hilbert space. New stability concepts are introduced. A criterion of weak algebraic stability is established, which is an improvement and extension of the existing criteria of algebraic stability.  

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@Article{JCM-9-97, author = {Li , Shou-Fu}, title = {Nonlinear Stability of General Linear Methods}, journal = {Journal of Computational Mathematics}, year = {1991}, volume = {9}, number = {2}, pages = {97--104}, abstract = {

This paper is devoted to a study of stability of general linear methods for the numerical solution of nonlinear stiff initial value problems in a Hilbert space. New stability concepts are introduced. A criterion of weak algebraic stability is established, which is an improvement and extension of the existing criteria of algebraic stability.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9381.html} }
TY - JOUR T1 - Nonlinear Stability of General Linear Methods AU - Li , Shou-Fu JO - Journal of Computational Mathematics VL - 2 SP - 97 EP - 104 PY - 1991 DA - 1991/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9381.html KW - AB -

This paper is devoted to a study of stability of general linear methods for the numerical solution of nonlinear stiff initial value problems in a Hilbert space. New stability concepts are introduced. A criterion of weak algebraic stability is established, which is an improvement and extension of the existing criteria of algebraic stability.  

Li , Shou-Fu. (1991). Nonlinear Stability of General Linear Methods. Journal of Computational Mathematics. 9 (2). 97-104. doi:
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