A NUMERICAL METHOD FOR SOLVING A COMPLETE HYPERSINGULAR INTEGRAL EQUATION OF THE SECOND KIND AND ITS JUSTIFICATION

Unified compact numerical quadrature formulas for Hadamard finite parts of singular integrals of periodic functions

(2021) Avram Sidi   CALCOLO

H-polarized plane-wave scattering by a PEC strip grating on top of a dielectric substrate: analytical regularization based on the Riemann-Hilbert Problem solution

(2020) Fedir O. Yevtushenko et al.   JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS

Terahertz range resonances of metasurface formed by double-layer grating of microsize graphene strips inside dielectric slab

(2020) Tatiana L. Zinenko et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Numerical solution and its analysis for a system of hypersingular integral equations

(2018) Vaishali Sharma et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations

(2016) Michael Feischl et al.   CALCOLO

Justification of the Galerkin method for hypersingular equations

(2016) S. I. Eminov et al.   COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS

Quadrature rules for weakly singular, strongly singular, and hypersingular integrals in boundary integral equation methods

(2015) John L. Tsalamengas   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical Method for the Solution of a Hypersingular Integral Equation of the Second Kind

(2014) A. V. Kostenko   Ukrainian Mathematical Journal

Low-threshold lasing eigenmodes of an infinite periodic chain of quantum wires

(2010) Volodymyr O. Byelobrov et al.   OPTICS LETTERS

Newton-Cotes rules for Hadamard finite-part integrals on an interval

(2009) B. Li et al.   IMA JOURNAL OF NUMERICAL ANALYSIS