SINGULAR AND NEAR‐SINGULAR INTEGRALS IN HIGH‐PRECISION DERIVATIVE COMPUTATION

DOI10.1108/EB010136zbMath0869.65014OpenAlexW2068320958MaRDI QIDQ4865715

P. Silvester, D. Omeragić

Publication date: 2 September 1997

Published in: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/eb010136

zbMATH Keywords

numerical resultsnumerical integrationnumerical examplessingular integralsquadrature formulaeHadamard finite partnumerical differentiationsHadamard finite part integralsfinite part integration

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical differentiation (65D25)

Related Items (1)

Differentiation of finite element solutions to non-linear problems

Cites Work

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• Remarks on the Gaussian quadrature rule for finite-part integrals with a second-order singularity
• The numerical evaluation of Hadamard finite-part integrals
• A quadrature rule for finite-part integrals
• The numerical evaluation of principal value integrals by finite-part integration
• Generalised functions and divergent integrals
• Some Gauss-type formulae for the evaluation of Cauchy principal values of integrals
• Non‐singular boundary integral representation of potential field gradients
• Gauss quadrature rules for finite part integrals

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