Numerical solution of DAE systems using block BDF methods

DOI10.1016/0377-0427(94)00111-1zbMath0855.65082OpenAlexW2103053516MaRDI QIDQ1917829

Ian T. Cameron, Jia-Xiang Xiang

Publication date: 15 July 1996

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(94)00111-1

zbMATH Keywords

convergencenumerical resultsnumerical stabilityone-step methodsblock backward differentiation formula methodssystems of differential algebraic equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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Cites Work

• Unnamed Item
• Inertia characteristics of self-adjoint matrix polynomials
• Solution of Differential—Algebraic Systems Using Diagonally Implicit Runge—Kutta Methods
• Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints I: Convergence Results for Backward Differentiation Formulas
• Analysis of descriptor systems using numerical algorithms
• Block Implicit One-Step Methods
• A-stable block implicit one-step methods