A model for stability of the semi-implicit backward differentiation formulas

DOI10.1016/S0377-0427(05)80002-0zbMath0725.65072OpenAlexW4247617196MaRDI QIDQ2277775

Kris Stewart

Publication date: 1990

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(05)80002-0

zbMATH Keywords

stabilityCauchy problempredictor-corrector methodstiff systemexplicit algorithmssemi-implicit backward differentiation method

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) Multiple scale methods for ordinary differential equations (34E13)

Cites Work

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• Avoiding stability-induced inefficiencies in BDF methods
• A semi-implicit mid-point rule for stiff systems of ordinary differential equations
• A User’s View of Solving Stiff Ordinary Differential Equations
• Asymptotic (h\rightarrow\infty) Absolute Stability for BDFs Applied to Stiff Differential Equations
• An Investigation Into the Stability Properties of Semi-Implicit Blended Formulae
• Comparing numerical methods for stiff systems of O.D.E:s
• The automatic integration of ordinary differential equations

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