Nonlinear Stability of (ρ,σ)-Methods for Stiff Delay-Differential-Algebraic Systems
Abstract：This paper deals with the stability of (ρ,σ)-methods for stiff delay-differential-algebraic systems with one-index. In particular, we prove that (resp. strong) G(c,p,q)-algebraic stability of the (ρ,σ)-methods for ordinary differential equations (ODEs) leads to (resp. asymptotic) global stability of the corresponding methods for stiff delay-differential-algebraic systems.
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Publication Date：2001-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 827-832 )