Volume 9, Issue 2
Nonlinear Stability of General Linear Methods

Shou-fu Li

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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 = {}, 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 JO - Journal of Computational Mathematics VL - 2 SP - 97 EP - 104 PY - 1991 DA - 1991/09 SN - 9 DO - http://dor.org/ UR - https://global-sci.org/intro/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.
Shou-fu Li. (1970). Nonlinear Stability of General Linear Methods. Journal of Computational Mathematics. 9 (2). 97-104. doi:
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