Some Necessary Conditions for Convergence of the GBDF Methods

DOI10.2307/2153106zbMath0781.65064OpenAlexW4236573254MaRDI QIDQ5288224

Mohamed Bin Suleiman

Publication date: 15 August 1993

Full work available at URL: https://doi.org/10.2307/2153106

zbMATH Keywords

consistencyConvergencezero stabilitygeneralized backward differentiation methodsstiff higher-order differential equations

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

• Unnamed Item
• Solving nonstiff higher order ODEs directly by the direct integration method
• Treating a single, stiff, second-order ODE directly
• Stability of Adams-Type Formulae for Second-Order Ordinary Differential Equations
• A Comparison of Some Numerical Methods for Two-Point Boundary Value Problems
• The Stability of Numerical Methods for Second Order Ordinary Differential Equations
• On the instability of high order backward-difference multistep methods

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