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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 10, Pages 1853–1870 (Mi zvmmf403)  
This article is cited in 17 scientific papers (total in 18 papers)

Algorithm composition scheme for problems in composite domains based on the difference potential method

V. S. Ryaben'kiia, V. I. Turchaninova, Ye. Yu. Epshteynb

a Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
b Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA
Full-text PDF (2045 kB) Citations (18)
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Abstract: An algorithm composition scheme for the numerical solution of boundary value problems in composite domains is proposed and illustrated using an example. The scheme requires neither difference approximations of the boundary conditions nor matching conditions on the boundary between the subdomains. The scheme is suited for multiprocessor computers.
Key words: composition of algorithms, decomposition of algorithms, difference potential method, parallel computations.
Received: 02.02.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 10, Pages 1768–1784
DOI: https://doi.org/10.1134/S0965542506100137
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. S. Ryaben'kii, V. I. Turchaninov, Ye. Yu. Epshteyn, “Algorithm composition scheme for problems in composite domains based on the difference potential method”, Zh. Vychisl. Mat. Mat. Fiz., 46:10 (2006), 1853–1870; Comput. Math. Math. Phys., 46:10 (2006), 1768–1784
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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