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Solution of a hypersingular integral equation in two disjoint intervals
Applied Mathematics Letters, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sudeshna Banerjea
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Mathematical Modelling and Analysis, 2023 A complete hypersingular integral equation of the second kind was obtained as a boundary integral equation for the diffraction and scattering problem of electromagnetic waves in space separated by the periodically placed non-perfectly conducting strips.
Oleksii V. Kostenko
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Boundary regularized integral equation formulation of the Helmholtz equation in acoustics [PDF]
Royal Society Open Science, 2015 A boundary integral formulation for the solution of the Helmholtz equation is developed in which all traditional singular behaviour in the boundary integrals is removed analytically.
Qiang Sun +3 more
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Scattering by thin shells in fluids: Fast solver and experimental validation [PDF]
JASA Express Letters, 2021 A numerical model facilitating fast analysis of acoustic scattering by thin shells immersed in fluids is presented. The shell is simulated by an effective boundary condition, in which the inertial properties of the shell are taken into account while the ...
Evgeny Chernokozhin +2 more
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Water wave scattering by a thin vertical submerged permeable plate
Mathematical Modelling and Analysis, 2021 An alternative approach is proposed here to investigate the problem of scattering of surface water waves by a vertical permeable plate submerged in deep water within the framework of linear water wave theory.
Rupanwita Gayen +2 more
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Nonlocal field theory of quasiparticle scattering in dipolar Bose-Einstein condensates
SciPost Physics Core, 2023 We consider the propagation of quasiparticle excitations in a dipolar Bose-Einstein condensate, and derive a nonlocal field theory of quasiparticle scattering at a stepwise inhomogeneity of the sound speed, obtained by tuning the contact coupling ...
Caio C. Holanda Ribeiro, Uwe R. Fischer
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Вісник Харківського національного університету імені В.Н. Каразіна. Серія: Математичне моделювання, інформаційні технології, автоматизовані системи управління, 2021 For studying the vibration frequencies and modes of structural elements that operate in interaction with a liquid, an approach has been proposed. The approach is based on coupled usage of finite and boundary element methods. For description the motion of
Іван Вєрушкін +1 more
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Continuous operator method application for direct and inverse scattering problems
Журнал Средневолжского математического общества, 2021 We describe the continuous operator method for solution nonlinear operator equations and discuss its application for investigating direct and inverse scattering problems.
Boykov Ilya V. +3 more
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Approximate Methods for Solving Problems of Mathematical Physics on Neural Hopfield Networks
Mathematics, 2022 A Hopfield neural network is described by a system of nonlinear ordinary differential equations. We develop a broad range of numerical schemes that are applicable for a wide range of computational problems.
Ilya Boykov +2 more
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Вісник Харківського національного університету імені В.Н. Каразіна. Серія: Математичне моделювання, інформаційні технології, автоматизовані системи управління, 2020 To study the frequencies and modes of vibrations of a circular plate immersed in a liquid, a new approach has been developed. The technic is based on the use of hypersingular integral equations and the method of prescribed shapes.
Ivan Vierushkin, Elena Strelnikova
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