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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2015 Volume 55, Number 8, Pages 1299–1304 (Mi zvmmf10245)

This article is cited in 23 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

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.

UDC: 519.633

Received: 09.02.2015

DOI: 10.7868/S004446691508013X


 English version:
Computational Mathematics and Mathematical Physics, 2015, 55:8, 1270–1275

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