A perturbed collocation method for boundary-value problems in differential-algebraic equations

DOI10.1016/0096-3003(91)90084-ZzbMath0757.65093OpenAlexW2041103835MaRDI QIDQ1179802

Yin Bai

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1016/0096-3003(91)90084-z

zbMATH Keywords

stabilityinstabilitydifferential-algebraic equationscollocation methodssuperconvergencetest problemslinear problemsindex one

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (4)

Boundary value problems for differential-algebraic equations ⋮ Spectral collocation methods for differential-algebraic equations with arbitrary index ⋮ A modified Lobatto collocation for linear boundary value problems of differential-algebraic equations ⋮ Boundary-Value Problems for Differential-Algebraic Equations: A Survey

Cites Work

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• Error of Rosenbrock methods for stiff problems studied via differential algebraic equations
• One-step collocation methods for differential-algebraic systems of index 1
• ODE Methods for the Solution of Differential/Algebraic Systems
• Order Results for Implicit Runge–Kutta Methods Applied to Differential/Algebraic Systems
• Differential-Algebraic Equation Index Transformations
• Numerical Solution of Boundary Value Problems in Differential-Algebraic Systems
• On Numerical Differential Algebraic Problems with Application to Semiconductor Device Simulation
• On Symmetric Schemes and Differential-Algebraic Equations

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