New a posteriori error estimates for singular boundary value problems

DOI10.1007/s11075-005-3791-5zbMath1082.65079OpenAlexW2132249626MaRDI QIDQ2574861

Othmar Koch, Ewa B. Weinmüller, Winfried Auzinger, Dirk Praetorius

Publication date: 2 December 2005

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-005-3791-5

zbMATH Keywords

numerical examplesboundary value problemsdefect correctioncollocationa posteriori error estimationessential singularity

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (5)

Density profile equation with \(p\)-Laplacian: analysis and numerical simulation ⋮ Error estimation based on locally weighted defect for boundary value problems in second order ordinary differential equations ⋮ An efficient asymptotically correct error estimator for collocation solutions to singular index-1 DAEs ⋮ Pathfollowing for essentially singular boundary value problems with application to the complex Ginzburg-Landau equation ⋮ DEVIATION OF THE ERROR ESTIMATION FOR SECOND ORDER FREDHOLM-VOLTERRA INTEGRO DIFFERENTIAL EQUATIONS

Uses Software

• Sbvp
• avalanche.f

Cites Work

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