Asymptotic expansions of the discretization error of boundary value problems of the Laplace equation in rectangular domains

DOI10.1007/BF02162422zbMath0164.18202OpenAlexW1981618751MaRDI QIDQ2529336

P. Hofmann

Publication date: 1967

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131749

zbMATH Keywords

numerical analysis

Related Items (11)

Extrapolation, combination, and sparse grid techniques for elliptic boundary value problems ⋮ Extrapolation of numerical solutions for elliptic problems on corner domains ⋮ Efficientd-multigrid preconditioners for sparse-grid solution of high-dimensional partial differential equations ⋮ Improved difference schemes for the Dirichlet problem of Poisson's equation in the neighbourhood of corners ⋮ On coordinate transformation and grid stretching for sparse grid pricing of basket options ⋮ Near-rings of continuous functions on compact abelian groups ⋮ Categories with convergence, exponential functors, and the cohomology of compact abelian groups ⋮ A proof of convergence for the combination technique for the Laplace equation using tools of symbolic computation. ⋮ Some remarks on \(C^*\)-bigebras and duality ⋮ Watts cohomology for a class of Banach algebras and the duality of compact abelian groups ⋮ Simplicity of near-rings of continuous functions

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical treatment of ordinary differential equations by extrapolation methods
• Asymptotic upper and lower bounds for results of extrapolation methods
• Asymptotic expansions for the error of discretization algorithms for non- linear functional equations
• Bemerkungen zur Romberg-Integration
• Fehlerabschätzungen und Extrapolation mit rationalen Funktionen bei Verfahren vom Richardson-Typus
• On the Truncation Error in a Numerical Solution of the Neumann Problem for a Rectangle
• Numerical Integration of Non‐analytic Functions
• On the accuracy of the numerical solution of the Dirichlet problem by finite differences
• On the Degree of Convergence of Solutions of Difference Equations to the Solution of the Dirichlet Problem

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