\(A_ 0\)-stable linear multistep formulas of the \(\alpha\)-type

DOI10.1007/BF01937360zbMath0626.65070OpenAlexW2020814185MaRDI QIDQ580911

Gary K. Rockswold

Publication date: 1987

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01937360

zbMATH Keywords

linear multistep methodA-zero-stabilityalpha type methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Implementation of \(\alpha\)-type multistep methods for stiff differential equations

Cites Work

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• Low-order \(A_0\)-stable Adams-type correctors
• Zero-stability properties of the three-ordinate variable stepsize variable formula methods
• $A_0 $-Stable Formulas of Adams Type
• Algorithms for Classical Stability Problems
• A note on unconditionally stable linear multistep methods