Supraconvergence of a class of moving grid methods for solving a nonlinear problem

DOI10.1016/0168-9274(95)00135-2zbMath0859.65093OpenAlexW2019374462MaRDI QIDQ1917474

José Augusto Ferreira

Publication date: 7 April 1997

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00135-2

zbMATH Keywords

method of linesquasilinear parabolic equationsfinite difference schemessupraconvergencemoving grid methodsSpijker-norm stability inequalities

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

On the convergence on nonrectangular grids

Cites Work

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• Convergence properties of numerical discretizations and regridding methods
• A Finite Difference Formula for the Discretization of d 3 /dx 3 on Nonuniform Grids
• Stability and Convergence in Numerical Analysis III: Linear Investigation of Nonlinear Stability
• Supra-Convergent Schemes on Irregular Grids
• The Numerical Solution of Second-Order Boundary Value Problems on Nonuniform Meshes
• Some Stability Inequalities for Compact Finite Difference Schemes
• Application of a moving grid method to a class of 1D brine transport problems in porous media
• Approximation Methods for Nonlinear Problems with Application to Two-Point Boundary Value Problems
• Homogeneous difference schemes on non-uniform nets

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