Cauchy integral formulas for complex functions
Collocation methods for Cauchy singular integral equations on the interval.
Conical diffraction by multilayer gratings: A recursive integral equation approach
The paper is devoted to an integral equation algorithm for studying the scattering of plane waves by multilayer diffraction gratings under oblique incidence. The scattering problem is described by a system of Helmholtz equations with piecewise constant coefficients in coupled by special transmission conditions at the interfaces between different layers. Boundary integral methods lead to a system of singular integral equations, containing at least two equations for each interface. To deal with...
Continuité sur les espaces de Hölder et de Sobolev des opérateurs définis par des intégrales singulières
Convergence of cubature-differences method for multidimensional singular integro-differential equations