Convergence of BDF approximations for nonsolvable differential algebraic equations

DOI10.1016/0168-9274(90)90009-5zbMath0692.65036OpenAlexW1984808095MaRDI QIDQ583848

Stephen L. Campbell, Kenneth D. Clark

Publication date: 1990

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(90)90009-5

zbMATH Keywords

convergencedifferential algebraic systembackward differentiation methodnonunique solution

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Uses Software

• DASSL
• LSODE

Cites Work

• Unnamed Item
• Index two linear time varying singular systems of differential equations
• On the solutions of linear differential equations with singular coefficients
• ODE Methods for the Solution of Differential/Algebraic Systems
• Numerical simulation of trajectory prescribed path control problems by the backward differentiation formulas
• Difference Methods for the Numerical Solution of Time-Varying Singular Systems of Differential Equations
• Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints I: Convergence Results for Backward Differentiation Formulas
• A General Form for Solvable Linear Time Varying Singular Systems of Differential Equations
• Order Results for Implicit Runge–Kutta Methods Applied to Differential/Algebraic Systems
• Analytical and Numerical Methods for Nonlinear Singular Singularly-Perturbed Initial Value Problems
• On singular singularly-perturbed initial value problems
• The Numerical Solution of Higher Iindex Differential/Algebraic Equations by Implicit Methods

This page was built for publication: Convergence of BDF approximations for nonsolvable differential algebraic equations