Collocation methods for index 1 DAEs with a singularity of the first kind

DOI10.1090/S0025-5718-09-02267-4zbMath1196.65134OpenAlexW2164257338MaRDI QIDQ3584777

Dirk Praetorius, Roswitha März, Othmar Koch, Ewa B. Weinmüller

Publication date: 30 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-09-02267-4

zbMATH Keywords

convergencenumerical experimentsboundary value problemserror boundssingularitycritical pointcollocationdifferential-algebraic equations (DAEs)

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for differential-algebraic equations (65L80)

Related Items (7)

Density profile equation with \(p\)-Laplacian: analysis and numerical simulation ⋮ Convergence of collocation schemes for boundary value problems in nonlinear index 1 DAEs with a singular point ⋮ An efficient asymptotically correct error estimator for collocation solutions to singular index-1 DAEs ⋮ Collocation method for the modeling of membrane gas permeation systems ⋮ Boundary-Value Problems for Differential-Algebraic Equations: A Survey ⋮ Numerical solution of integral-algebraic equations with a weak boundary singularity by \(k\)-step methods ⋮ Towards a reliable implementation of least-squares collocation for higher index differential-algebraic equations. I: Basics and ansatz function choices

Uses Software

• RADAU
• COLNEW
• Sbvp
• avalanche.f

Cites Work

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