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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 8, Pages 1299–1304
DOI: https://doi.org/10.7868/S004446691508013X (Mi zvmmf10245) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Estimates of the hyperbolization effect on the heat equation

E. E. Myshetskaya, V. F. Tishkin

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
Full-text PDF (238 kB) Citations (21)
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DOI: https://doi.org/10.7868/S004446691508013X
Abstract: The difference between the solutions of the heat equation and its hyperbolized version is estimated. The estimates are obtained in the $L_2$ norm for the anisotropic heat equation and in the $C$ norm for the one-dimensional case with constant coefficients.
Key words: heat equation, hyperbolization, estimates of hyperbolization effect, difference schemes.
Received: 09.02.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 8, Pages 1270–1275
DOI: https://doi.org/10.1134/S0965542515080138
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: E. E. Myshetskaya, V. F. Tishkin, “Estimates of the hyperbolization effect on the heat equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:8 (2015), 1299–1304; Comput. Math. Math. Phys., 55:8 (2015), 1270–1275
Citation in format AMSBIB
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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