Geodesic
Justification of the Collocation Method for a Class of Surface Integral Equations
Matematičeskie zametki, Tome 107 (2020) no. 4, pp. 604-622

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The application of the collocation method to the boundary integral equation of the exterior Dirichlet boundary-value problem for the Helmholtz equation is justified. In addition, a new method for constructing cubature formulas for surface singular integrals is proposed.
Keywords: Helmholtz equation, exterior Dirichlet boundary-value problem, surface singular integral, collocation method.
Mots-clés : cubature formula 
@article{MZM_2020_107_4_a9,
     author = {E. G. Khalilov},
     title = {Justification of the {Collocation} {Method} for a {Class} of {Surface} {Integral} {Equations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {604--622},
     publisher = {mathdoc},
     volume = {107},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_107_4_a9/}
}
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E. G. Khalilov. Justification of the Collocation Method for a Class of Surface Integral Equations. Matematičeskie zametki, Tome 107 (2020) no. 4, pp. 604-622. http://geodesic.mathdoc.fr/item/MZM_2020_107_4_a9/