Results 61 to 70 of about 1,219,987 (236)
Journal of Inequalities and Applications, 2020 Hypersingular integrals have appeared as effective tools for inversion of multidimensional potential-type operators such as Riesz, Bessel, Flett, parabolic potentials, etc.
Melih Eryiğit +2 more
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Guest Editorial: Method of analytical regularisation for new frontiers of applied electromagnetics
, 2021 IET Microwaves, Antennas &Propagation, Volume 15, Issue 10, Page 1127-1132, 12 August 2021.
Mario Lucido +4 more
wiley +1 more source
Numerical Solution for an Epicycloid Crack
Journal of Applied Mathematics, 2014 A flat crack, Ω, is lying in a three-dimensional homogenous isotropic elastic solid subjected to shear loading. A mathematical formulation is developed based on the mixed boundary values for Ω such that the problem of finding the resulting force can be ...
Nik Mohd Asri Nik Long +3 more
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Regularized Integral Representations of the Reciprocal Gamma Function
Fractal and Fractional, 2019 This paper establishes a real integral representation of the reciprocal Gamma function in terms of a regularized hypersingular integral along the real line. A regularized complex representation along the Hankel path is derived.
Dimiter Prodanov
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, 2008 We study polynomial approximations of vertex singularities of the type $r^\lambda |\log r|^\beta$ on three-dimensional surfaces. The analysis focuses on the case when $\lambda > -\frac 12$.
Bespalov, A, Bespalov, Alexei
core +1 more source
On numerical methods for solving hypersingular integral equations on infinite line
Известия высших учебных заведений. Поволжский регион: Физико-математические наукиBackground. Hypersingular integral equations on infinite line that arise in many problems of mathematical physics are considered. Materials and methods. Hypersingular equations are studied in Sobolev spaces, which are represented by Fourier series with a
Yuriy G. Smirnov +2 more
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Mathematics, 2023 New formulations are produced for problems associated with multiple cracks in the upper part of thermoelectric-bonded materials subjected to remote stress using hypersingular integral equations (HSIEs).
Muhammad Haziq Iqmal Mohd Nordin +5 more
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Optimal additive Schwarz methods for the hp-BEM: The hypersingular integral operator in 3D on locally refined meshes [PDF]
Computers and Mathematics with Applications, 2014 We propose and analyze an overlapping Schwarz preconditioner for the p and h p boundary element method for the hypersingular integral equation in 3D. We consider surface triangulations consisting of triangles. The condition number is bounded uniformly in
T. Führer +3 more
semanticscholar +1 more source
Известия высших учебных заведений. Поволжский регион: Физико-математические наукиBackground. This study focuses on study of a mathematical model describing the scattering of TE-wave on a 2D slab covered with graphene. The purpose of this study is to prove the uniqueness of the scattering problem and the injectivity property of a ...
Stanislav V. Tikhov
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Mathematics, 2023 A new linear integro-differential equation is considered on a closed curve located on the complex plane. The integrals in the equation are understood in the sense of a finite part, according to Hadamard.
Andrei P. Shilin
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