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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 4, Pages 725–737
DOI: https://doi.org/10.31857/S0044466920040146 (Mi zvmmf11070) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Method of difference potentials for evolution equations with lacunas

S. V. Petropavlovskya, S. V. Tsynkovb

a National Research University Higher School of Economics, Moscow, 101000 Russia
b Department of Mathematics, North Carolina State University, Box 8205, Raleigh, NC 27695, USA
Citations (5)
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DOI: https://doi.org/10.31857/S0044466920040146
Abstract: A boundary method for computing unsteady wave propagation in three-dimensional space is proposed. The described approach is based on the method of difference potentials and the Huygens principle, which makes it possible to update the solution on the scatterer boundary by using a fixed time interval.
Key words: method of difference potentials, Huygens principle, lacunas, wave equation.
Funding agency Grant number
United States Army Research Office W911NF-16-1-0115
US-Israel Binational Science Foundation 2014048
This work was supported by the United States Army Research Office (grant no. W911NF-16-1-0115) and by the US-Israel Binational Science Foundation (grant no. 2014048).
Received: 14.11.2019
Revised: 14.11.2019
Accepted: 16.12.2019
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 4, Pages 711–722
DOI: https://doi.org/10.1134/S0965542520040144
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: S. V. Petropavlovsky, S. V. Tsynkov, “Method of difference potentials for evolution equations with lacunas”, Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020), 725–737; Comput. Math. Math. Phys., 60:4 (2020), 711–722
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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