On the Numerical Evaluation of a Particular Singular Two-Dimensional Integral

DOI10.2307/2006073zbMath0443.65007OpenAlexW4231456955MaRDI QIDQ3886721

Giovanni Monegato, J. N. Lyness

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2006073

zbMATH Keywords

asymptotic expansionextrapolationCauchy principal value integraldiagonally symmetric ruleintegrable point singularitytwo-dimensional Romberg integration

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Euler-MacLaurin expansions for integrals over triangles and squares of functions having algebraic/logarithmic singularities along an edge, Error estimates in the numerical evaluation of some BEM singular integrals

Cites Work

• An efficient iterative method for numerical evaluation of integrals over a semi‐infinite range
• An Error Functional Expansion for N-Dimensional Quadrature with an Integrand Function Singular at a Point
• Symmetric integration rules for hypercubes. I. Error coefficients
• Numerical Quadrature and Asymptotic Expansions
• Numerical integration of a double integral with Cauchy-type singularity.
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