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

DOI10.1016/0377-0427(88)90288-9zbMath0643.65038OpenAlexW1974749588MaRDI QIDQ1102076

Gary K. Rockswold

Publication date: 1988

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(88)90288-9

zbMATH Keywords

stiff differential equationsmultistep 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) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Cites Work

• Unnamed Item
• Unnamed Item
• \(A_ 0\)-stable linear multistep formulas of the \(\alpha\)-type
• Zero-stability properties of the three-ordinate variable stepsize variable formula methods
• Stability properties of variable stepsize variable formula methods
• Stability of Two-Step Methods for Variable Integration Steps
• Automatic Solution of Differential Equations Based on the User of Linear Multistep Methods
• $A_0 $-Stable Formulas of Adams Type
• Comparing numerical methods for stiff systems of O.D.E:s
• A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations
• Contractive methods for stiff differential equations part I
• Algorithms for Classical Stability Problems
• The automatic integration of ordinary differential equations

This page was built for publication: Implementation of \(\alpha\)-type multistep methods for stiff differential equations