Avoiding stability-induced inefficiencies in BDF methods

DOI10.1016/0377-0427(90)90017-TzbMath0699.65067OpenAlexW1978450334MaRDI QIDQ913463

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/10.1016/0377-0427(90)90017-t

zbMATH Keywords

order selectionstiff ODEbackward differentiation formulasautomatic codesregion of stability

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

A model for stability of the semi-implicit backward differentiation formulas, Arbitrary high order A-stable and B-convergent numerical methods for ODEs via deferred correction

Uses Software

• LSODE

Cites Work

• A User’s View of Solving Stiff Ordinary Differential Equations
• Asymptotic (h\rightarrow\infty) Absolute Stability for BDFs Applied to Stiff Differential Equations
• Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential Equations
• Comparing numerical methods for stiff systems of O.D.E:s
• The control of order and steplength for backward differentiation methods
• Predictor-Corrector Methods of High Order With Improved Stability Characteristics
• A Test for Instability in the Numerical Solution of Ordinary Differential Equations
• The automatic integration of ordinary differential equations
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