Modified quadrature formula for integrand with nearby poles

DOI10.1016/0893-9659(93)90036-MzbMath0772.65074OpenAlexW1978422844WikidataQ60148480 ScholiaQ60148480MaRDI QIDQ2367983

Yue Kuen Kwok, Kin-Kiu Tam

Publication date: 19 August 1993

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(93)90036-m

zbMATH Keywords

Dirichlet problemerror estimatesquadrature formulaPoisson equationPoisson integral formula

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

Numerical quadrature formulas through the theory of analytic functions ⋮ Computation of integrals over the unit circle with nearby poles

Cites Work

• Numerical evaluation of integrals of periodic functions with Cauchy and Poisson type kernels
• Modified quadrature formulas for functions with nearby poles
• Modified trapezoidal quadratures and accurate potential evaluation for numerical solutions of S.I.E's on the unit circle

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