Über \(A(\alpha)\)-stabile Verfahren hoher Konsistenzordnung

DOI10.1007/BF02252382zbMath0395.65043OpenAlexW358447554MaRDI QIDQ1253093

J. Schroll, Rolf Dieter Grigorieff

Publication date: 1978

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02252382

zbMATH Keywords

StabilityOrdinary Differential EquationsNumerical ExamplesInitial Value ProblemsArbitrary Order of ConsistencyLinear Multistep Methods

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items (4)

Equivalent Forms of Multistep Formulas ⋮ Stability and accuracy of time discretizations for initial value problems ⋮ Implicit–explicit multistep methods for nonlinear parabolic equations ⋮ Implicit-explicit multistep finite element methods for nonlinear parabolic problems

Cites Work

• Unnamed Item
• A criterion for A-stability of linear multistep integration formulae
• A note on unconditional fixed-h stability of linear multistep formulae
• Stiff Stability and Its Relation to $A_0 $- and $A(0)$-Stability
• On a dangerous property of methods for stiff differential equations
• A note on unconditionally stable linear multistep methods
• A criterion forA(α)-stability of linear multistep methods
• Numerisch stabile Interpolationsformeln mit günstiger Fehlerfortpflanzung für Differentialgleichungen erster und zweiter Ordnung
• A new class of highly-stable methods:A 0-stable methods
• A special stability problem for linear multistep methods

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