Quadrature method for singular integral equations on closed curves

DOI10.1007/BF01385525zbMath0734.65096MaRDI QIDQ811110

Siegfried Prössdorf, Ian H. Sloan

Publication date: 1992

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133637

zbMATH Keywords

collocation methodsingular integral equationsSobolev spaceserror analysistrigonometric interpolationquadrature method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations with kernels of Cauchy type (45E05)

Related Items (6)

The modified quadrature method for classical pseudodifferential equations of negative order on smooth closed curves ⋮ Fast solution of a class of periodic pseudodifferential equations ⋮ A fully discrete Galerkin method for integral and pseudodifferential equations on closed curves ⋮ Convergence results for discrete trigonometric collocation methods with product integration in Hölder-Zygmund spaces ⋮ A quadrature method for the Cauchy singular integral equations ⋮ Superconsistent discretizations of integral type equations.

Cites Work

• Local theory of the collocation method for the approximate solution of singular integral equations. I
• Stabilitätskriterien für Näherungsverfahren bei singulären Integralgleichungen in \(L^ p\)
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