Error expansions for multidimensional trapezoidal rules with Sidi transformations

DOI10.1023/A:1019155601289zbMath0891.41019OpenAlexW1541765240MaRDI QIDQ1385140

J. N. Lyness, D. M. Potts, Pierre Verlinden

Publication date: 11 June 1998

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019155601289

zbMATH Keywords

cubatureextrapolationquadratureEuler-Maclaurin expansionmultidimensional integrationvertex singularitySidi transformation

Mathematics Subject Classification ID

Approximate quadratures (41A55)

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On the effectiveness of the Moulinec–Suquet discretization for composite materials ⋮ Extension of a class of periodizing variable transformations for numerical Integration ⋮ Further extension of a class of periodizing variable transformations for numerical integration ⋮ A novel class of symmetric and nonsymmetric periodizing variable transformations for numerical integration ⋮ Spectral zeta function on discrete tori and Epstein-Riemann hypothesis ⋮ Numerical integration over smooth surfaces in \(\mathbb R^3\) via class \(\mathcal I_{m}\) variable transformations. I: Smooth integrands

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