Regularization techniques for the singular integral operators in the wave diffraction theory

@article{Nazarchuk2004RegularizationTF,
  title={Regularization techniques for the singular integral operators in the wave diffraction theory},
  author={Z. Nazarchuk and D. B. Kuryliak},
  journal={The Fifth International Kharkov Symposium on Physics and Engineering of Microwaves, Millimeter, and Submillimeter Waves (IEEE Cat. No.04EX828)},
  year={2004},
  volume={1},
  pages={275-277 Vol.1}
}
The integral equations typically possess singular kernels. Some preliminary analytical regularization is performed before their numerical treatment. The universal and effective direct numerical solution of singular integral equations with the Cauchy type kernels is a well known technique in fracture mechanics. Traditional one-dimensional contour integral… CONTINUE READING