\(A\)-stable and \(L\)-stable block implicit one-step methods with modified algorithm

DOI10.1016/0096-3003(89)90131-8zbMath0673.65052OpenAlexW4234481680MaRDI QIDQ1120966

S. H. Smith

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0096-3003(89)90131-8

zbMATH Keywords

\(A\)-stability\(L\)-stability\(A\)-stable methodsblock-implicit methodsODE package

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)

Cites Work

• Comparing numerical methods for stiff systems of O.D.E:s
• Block Implicit One-Step Methods
• A-stable block implicit one-step methods
• Implicit Runge-Kutta Processes
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