An error analysis and the mesh independence principle for a nonlinear collocation problem

DOI10.1002/NUM.20152zbMath1100.65087OpenAlexW1987558446MaRDI QIDQ5487792

Rakhim Aitbayev

Publication date: 12 September 2006

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20152

zbMATH Keywords

stabilityconvergencenumerical exampleerror estimatesconsistencyNewton's methodDirichlet boundary value problemmesh refinementmultilevel methodorthogonal spline collocationmesh independence principlenonlinear uniform elliptic operator

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Cites Work

• Theoretical Numerical Analysis
• Introduction to Numerical Continuation Methods

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