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Matematicheskie Zametki, 2020, Volume 107, Issue 4, Pages 604–622
DOI: https://doi.org/10.4213/mzm10729 (Mi mzm10729) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Justification of the Collocation Method for a Class of Surface Integral Equations

E. G. Khalilov

Azerbaijan State University of Oil and Industry
Full-text PDF (562 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm10729
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.
Keywords: Helmholtz equation, exterior Dirichlet boundary-value problem, cubature formula, surface singular integral, collocation method.
Funding agency Grant number
Азербайджанский государственный университет нефти и промышленности ADNSU-2018-1-01
This work was supported by the “University Grant” of ADNSU (grant no. ADNSU-2018-1-01).
Received: 18.03.2015
English version:
Mathematical Notes, 2020, Volume 107, Issue 4, Pages 663–678
DOI: https://doi.org/10.1134/S0001434620030335
Bibliographic databases:
Document Type: Article
UDC: 517.2+519.64
Language: Russian
Citation: E. G. Khalilov, “Justification of the Collocation Method for a Class of Surface Integral Equations”, Mat. Zametki, 107:4 (2020), 604–622; Math. Notes, 107:4 (2020), 663–678
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
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