Asymptotic error expansions for numerical solutions of one-dimensional problems with singularities

DOI10.1016/0895-7177(91)90041-5zbMath0765.65068OpenAlexW1977618270MaRDI QIDQ1197708

Wiemin Han

Publication date: 16 January 1993

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(91)90041-5

zbMATH Keywords

numerical examplesinitial value problemssingular solutionsRichardson extrapolationfinite difference solutionsasymptotic error expansionstwo-point boundary problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ordinary differential equations and systems (34A34) Extrapolation to the limit, deferred corrections (65B05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)

Cites Work

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• Euler-MacLaurin expansions for integrals over triangles and squares of functions having algebraic/logarithmic singularities along an edge
• An Extension of the Euler-Maclaurin Summation Formula to Functions with a Branch Singularity
• A Further Extension of the Euler-Maclaurin Summation Formula
• Numerical Quadrature and Asymptotic Expansions
• Numerical Integration of Non‐analytic Functions
• Survey of Extrapolation Processes in Numerical Analysis

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