Remarks on the stability of high-index DAEs with respect to parametric perturbations

DOI10.1007/BF02238934zbMath0771.65036OpenAlexW2402364161MaRDI QIDQ1206804

Gustaf Söderlind

Publication date: 1 April 1993

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238934

zbMATH Keywords

stabilityperturbationsdifferential-algebraic equationsKronecker canonical formgeneralized eigenproblemmatrix pencilhigh-index

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Multiple scale methods for ordinary differential equations (34E13) General theory for ordinary differential equations (34A99)

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The effect of the stopping of the Newton iteration in implicit linear multistep methods, Exploiting the separability in the solution of systems of linear ordinary differential equations

Cites Work

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• Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
• Computing the Structural Index
• On Nonlinear Singularly Perturbed Initial Value Problems