Inversion Formulas for the Discretized Hilbert Transform on the Unit Circle

DOI10.1137/S0036142995285149zbMath0913.65124OpenAlexW2063242403MaRDI QIDQ4389115

Claus Schneider

Publication date: 11 May 1998

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142995285149

zbMATH Keywords

stabilitysingular integral equationsboundary element methodHilbert transformMoore-Penrose inverseboundary integralsHilbert kernelweakly singular solutions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) 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 (3)

Discrete collocation for a first kind Cauchy singular integral equation with weakly singular solution ⋮ \(L_2\) error estimates of collocation methods for solving certain singular integral equations ⋮ Quadrature methods for 2D and 3D problems

This page was built for publication: Inversion Formulas for the Discretized Hilbert Transform on the Unit Circle