On the sharpness of error bounds in connection with finite difference schemes on uniform grids for boundary value problems of ordinary differential equations

DOI10.1080/01630569108816429zbMath0749.41019OpenAlexW2053021311MaRDI QIDQ4711157

B. Büttgenbach, R. J. Nessel, Henning Esser

Publication date: 25 June 1992

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569108816429

zbMATH Keywords

Green's functionslinear two point boundary value problems

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Green's functions for ordinary differential equations (34B27) Rate of convergence, degree of approximation (41A25) Numerical differentiation (65D25) Numerical analysis in abstract spaces (65J99)

Related Items (9)

On the comparison of error bounds for finite difference schemes ⋮ On the sharpness of error bounds for the numerical solution of initial boundary value problems by finite difference schemes ⋮ Sharp error bounds for the Crank-Nicolson and Saulyev difference scheme in connection with an initial boundary value problem for the inhomogeneous heat equation ⋮ A sharp error estimate for numerical Fourier fransform of band-limited functions based on windowed samples ⋮ A SHARP ERROR ESTIMATE FOR THE NUMERICAL SOLUTION OF MULTIVARIATE DIRICHLET PROBLEM FOR THE HEAT EQUATION ⋮ A sharp error estimate for the numerical solution of a Dirichlet problem for the Poisson equation ⋮ A sharp error estimate for the numerical solution of multivariate dirichlet problem ⋮ On the sharpness of an error bound for a Galerkin method to solve parabolic differential equations ⋮ A sharp error estimate for the numerical solution of multivariate Dirichlet problems

Cites Work

• Stabilitätsungleichungen für Diskretisierungen von Randwertaufgaben gewöhnlicher Differentialgleichungen
• The green's function of a compact discretization
• On uniform boundedness principles and banach - steinhaus theorems with rates
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