Abstract
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.
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This work was supported by the “University Grant” of ADNSU (grant no. ADNSU-2018-1-01).
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Russian Text © The Author(s), 2020, published in Matematicheskie Zametki, 2020, Vol. 107, No. 4, pp. 604–622.
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Khalilov, E.H. Justification of the Collocation Method for a Class of Surface Integral Equations. Math Notes 107, 663–678 (2020). https://doi.org/10.1134/S0001434620030335
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DOI: https://doi.org/10.1134/S0001434620030335