On the comparison of error bounds for finite difference schemes

DOI10.1007/BF01388700zbMath0791.65058OpenAlexW1997647911MaRDI QIDQ1326385

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

Publication date: 7 July 1994

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

Full work available at URL: https://eudml.org/doc/133716

zbMATH Keywords

modulus of continuitysharp error boundslinear two-point boundary value problemsresonance theoremtau-modulus

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Rate of convergence, degree of approximation (41A25) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

• A general approach to counterexamples in numerical analysis
• Sharp estimates in terms of moduli of smoothness for compound cubature rules
• Stabilitätsungleichungen für Diskretisierungen von Randwertaufgaben gewöhnlicher Differentialgleichungen
• A baire approach to quantitative resonance principles
• On the sharpness of error bounds in connection with finite difference schemes on uniform grids for boundary value problems of ordinary differential equations
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