Extending convergence of BDF methods for a class of nonlinear strongly stiff problems

DOI10.1016/S0377-0427(99)00346-5zbMath0971.65071MaRDI QIDQ5928286

Hongyuan Fu, Shou-fu Li, Ai-Guo Xiao, Guangnan Chen

Publication date: 26 October 2001

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

zbMATH Keywords

convergencenumerical examplesinitial value problemsbackward differentiation formula methodsBDF methodsglobal error estimatestiff systems

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) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (1)

Convergence of parallel multistep hybrid methods for singular perturbation problems

Uses Software

• RODAS

Cites Work

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• Modern convergence theory for stiff initial-value problems
• Stability and B-convergence of general linear methods
• Extending convergence theory for nonlinear stiff problems. I
• A note on convergence concepts for stiff problems
• Stability Properties of Implicit Runge–Kutta Methods
• Order Results for Implicit Runge–Kutta Methods Applied to Stiff Systems
• The Concept of B-Convergence
• B-Convergence Properties of Multistep Runge-Kutta Methods
• Vienna contributions to the development of RK-methods

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