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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 8, Pages 1320–1328
DOI: https://doi.org/10.7868/S0044466915080037 (Mi zvmmf10247) 		 
This article is cited in 25 scientific papers (total in 25 papers)

On an algorithm for solving parabolic and elliptic equations

N. D'Ascenzoa, V. I. Savelievb, B. N. Chetverushkinc

a Deutsche Elektronen Synchrotron (DESY), Hamburg, 22206, Germany
b Immanuel Kant Baltic Federal University, Kaliningrad, 236041, Russia
c Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
Full-text PDF (1073 kB) Citations (25)
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DOI: https://doi.org/10.7868/S0044466915080037
Abstract: The present-day rapid growth of computer power, in particular, parallel computing systems of ultrahigh performance requires a new approach to the creation of models and solution algorithms for major problems. An algorithm for solving parabolic and elliptic equations is proposed. The capabilities of the method are demonstrated by solving astrophysical problems on high-performance computer systems with massive parallelism.
Key words: high-performance computations, numerical algorithms, parabolic and elliptic equations.
Received: 19.02.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 8, Pages 1290–1297
DOI: https://doi.org/10.1134/S0965542515080035
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: N. D'Ascenzo, V. I. Saveliev, B. N. Chetverushkin, “On an algorithm for solving parabolic and elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 55:8 (2015), 1320–1328; Comput. Math. Math. Phys., 55:8 (2015), 1290–1297
Citation in format AMSBIB
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    • This publication is cited in the following 25 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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