Uniform Expansions for a Class of Finite Difference Schemes for Elliptic Boundary Value Problems

DOI10.2307/2007732zbMath0463.65069OpenAlexW4244203967MaRDI QIDQ3914362

Harry Munz

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2007732

zbMATH Keywords

Dirichlet problemnumerical experimentsfinite difference schemesasymptotic expansion of the errordeferred correction method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Extrapolation to the limit, deferred corrections (65B05)

Cites Work

• Discrete maximum principle for finite-difference operators
• Iterated deferred corrections for nonlinear operator equations
• High Order Fast Laplace Solvers for the Dirichlet Problem on General Regions
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