A quadrature rule for finite-part integrals

DOI10.1007/BF01933166zbMath0457.41027MaRDI QIDQ1150776

D. F. Paget

Publication date: 1981

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

Legendre polynomial21, 212-220 (1981)

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximate quadratures (41A55)

Related Items (12)

Numerical evaluation of hypersingular integrals ⋮ Superconvergence of the composite Simpson's rule for a certain finite-part integral and its applications ⋮ Regularized product intergration for Hadamard finite part integrals ⋮ Three algorithms for Hadamard finite-part integrals and fractional derivatives ⋮ A quadrature rule for finite-part integrals ⋮ SINGULAR AND NEAR‐SINGULAR INTEGRALS IN HIGH‐PRECISION DERIVATIVE COMPUTATION ⋮ Numerical solution of a certain hypersingular integral equation of the first kind ⋮ Couple-stress effects for the problem of a crack under concentrated shear loading ⋮ Efficient hypersingular line and surface integrals direct evaluation by complex variable differentiation method ⋮ A new algorithm for Cauchy principal value and Hadamard finite-part integrals ⋮ On numerical cubatures of singular surface integrals in boundary element methods ⋮ Newton-Cotes formulae for the numerical evaluation of certain hypersingular integrals

Cites Work

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