ИССЛЕДОВАНИЕ ПРИБЛИЖЕННОГО РЕШЕНИЯ НЕКОТОРЫХ КЛАССОВ ПОВЕРХНОСТНЫХ ИНТЕГРАЛЬНЫХ УРАВНЕНИЙ ПЕРВОГО РОДА

DOI10.17223/19988621/74/5zbMath1505.45009OpenAlexW4285525700MaRDI QIDQ5060632

E. G. Khalilov

Publication date: 10 January 2023

Published in: Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtgu886

zbMATH Keywords

Helmholtz equationhypersingular integral equationsweakly singular integral equationsintegral equation of first kindexterior Dirichlet boundary-value problemexterior Neumann boundary-value problem

Mathematics Subject Classification ID

Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

• Unnamed Item
• Unnamed Item
• Some properties of the operators generated by a derivative of the acoustic double layer potential
• On an approximate solution of a class of boundary integral equations of the first kind
• Numerical approximation of first kind Volterra convolution integral equations with discontinuous kernels
• A finite element method for some integral equations of the first kind
• On an approximate solution of a class of surface singular integral equations of the first kind
• Justification of the collocation method for a class of surface integral equations
• Potential-based numerical solution of Dirichlet problems for the Helmholtz equation
• Numerical Solution of an Exterior Neumann Problem Using a Double Layer Potential

This page was built for publication: ИССЛЕДОВАНИЕ ПРИБЛИЖЕННОГО РЕШЕНИЯ НЕКОТОРЫХ КЛАССОВ ПОВЕРХНОСТНЫХ ИНТЕГРАЛЬНЫХ УРАВНЕНИЙ ПЕРВОГО РОДА