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The Euler-Maclaurin formula in presence of a logarithmic singularity

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Publication:1963916
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DOI10.1023/A:1022399409604zbMath0942.65002MaRDI QIDQ1963916

Ricardo Celorrio, Francisco-Javier Sayas

Publication date: 21 August 2000

Published in: BIT (Search for Journal in Brave)


zbMATH Keywords

asymptotic expansionlogarithmic singularityEuler-Maclaurin expansioncomposite quadrature rules


Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Euler-Maclaurin formula in numerical analysis (65B15)


Related Items (4)

A Nyström flavored Calderón calculus of order three for two dimensional waves, time-harmonic and transient ⋮ On the regularization of Cauchy-type integral operators via the density interpolation method and applications ⋮ Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D ⋮ Numerical analysis \& no regrets. Special issue dedicated to the memory of Francisco Javier Sayas (1968--2019)




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