Substantiation of the collocation method for one class of systems of integral equations

DOI10.1007/s11253-017-1406-7zbMath1499.65751OpenAlexW2769227193MaRDI QIDQ1729647

Xianqiang Yang

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-017-1406-7

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (3)

Analysis of approximate solution for a class of systems of integral equations ⋮ On an approximate solution of a class of systems of curvilinear integral equations ⋮ JUSTIFICATION OF COLLOCATION METHOD FOR ONE CLASS OF SYSTEMS OF CURVILINEAR INTEGRAL EQUATIONS

Cites Work

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• Integral equations in the coupling problem for semiopen dielectric waveguides
• On efficient preconditioners for iterative solution of a Galerkin boundary element equation for the three-dimensional exterior Helmholtz problem
• Monte Carlo solution of the finite-difference Dirichlet problem for the multidimensional Helmholtz equation
• Justification of the collocation method for a class of boundary integral equations
• Potential-based numerical solution of Dirichlet problems for the Helmholtz equation
• Scalar problem of plane wave diffraction by a system of nonintersecting screens and inhomogeneous bodies
• Diffraction of a plane wave by a sphere with a circular orifice

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