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.