An efficient asymptotically correct error estimator for collocation solutions to singular index-1 DAEs

DOI10.1007/s10543-011-0321-9zbMath1233.65049OpenAlexW2137069878MaRDI QIDQ533715

Winfried Auzinger, Ewa B. Weinmüller, Herbert Lehner

Publication date: 4 May 2011

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-011-0321-9

zbMATH Keywords

convergencenumerical examplesdifferential-algebraic equationdefect correctioncollocationimplicit Runge-Kutta methodsa posteriori error estimationsingularity of first kind

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) 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 (2)

Boundary-Value Problems for Differential-Algebraic Equations: A Survey ⋮ Numerical solution of integral-algebraic equations with a weak boundary singularity by \(k\)-step methods

Uses Software

• COLNEW
• Sbvp

Cites Work

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