On the loss of \(L\)-stability of the implicit Euler method for a linear problem

zbMath1344.65073MaRDI QIDQ307864

Mikhail Valer'yanovich Bulatov, Lyubov' Stepanovna Solovarova

Publication date: 5 September 2016

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://isu.ru/journal/downloadArticle?article=_4851f2e5025d495fa2340cc68f94f972&lang=rus

zbMATH Keywords

differential-algebraic equationsdifference schemes\(L\)-stable methodsstiff ODE

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for differential-algebraic equations (65L80) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (2)

Decomposition of the Problem in the Numerical Solution of Differential-Algebraic Systems for Chemical Reactions with Partial Equilibria ⋮ Block difference schemes of high order for stiff linear differential-algebraic equations

Uses Software

• RODAS

Cites Work

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• Differential algebraic systems anew
• Convergence and stability in the numerical integration of ordinary differential equations
• The Order of Numerical Methods for Ordinary Differential Equations
• Preservation of stability type of difference schemes when solving stiff differential algebraic equations

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