Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics

DOI10.1007/s11075-012-9611-9zbMath1257.65012OpenAlexW2084179710MaRDI QIDQ695618

Walter Gautschi

Publication date: 21 December 2012

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

Full work available at URL: https://doi.org/10.1007/s11075-012-9611-9

zbMATH Keywords

numerical examplesGaussian quadraturedouble integralsaerodynamical drag coefficientalgebraic/logarithmic singular lines along the diagonal and the sides of the squarenumerical integration over the squaretensor-product formulae

Mathematics Subject Classification ID

General aerodynamics and subsonic flows (76G25) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (7)

Exponential convergence of hp-time-stepping in space-time discretizations of parabolic PDES ⋮ Integral representations and quadrature schemes for the modified Hilbert transformation ⋮ On the approximation by product rules of weakly singular double integrals over the square ⋮ Marcinkiewicz continuity estimates for infinite energy solutions of some second order elliptic Dirichlet problems ⋮ Gauss rules associated with nearly singular weights ⋮ A new method for numerical integration of singular functions on the plane ⋮ NUMINT

Uses Software

• Matlab
• Ial.m
• OPQ

Cites Work

• Orthogonal polynomials (in Matlab)
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