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All Issues >> Contents: Volume 10, Issue No 1 (2012)

Method of interpolation profile for solving transport equations
S. G. Cherny, D. B. Zhambalova

Novosibirsk State University
Institute of Computational Technologies of the SB RAS

UDC code: 519.63

Abstract
Method of interpolation profile that combines high order of approximation and consideration of structure of hyperbolic equations’ solutions is presented. To increase the resolution of the method the special approach is applied. The main idea of this approach is to solve a transport equation for tangential transformation of initial function. The results of computations of one and two dimensional problems including having discontinuous solutions are given.

Key Words
method of characteristics, differential approximation, hyperbolic equations, constrained interpolation profile method

How to cite:
Cherny S. G., Zhambalova D. B. Method of interpolation profile for solving transport equations // Vestnik NSU Series: Information Technologies. - 2012. - Volume 10, Issue No 1. - P. 33-54. - ISSN 1818-7900. (in Russian).

Full Text in Russian

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Publication information
Main title Vestnik NSU Series: Information Technologies, Volume 10, Issue No 1 (2012).
Parallel title: Novosibirsk State University Journal of Information Technologies Volume 10, Issue No 1 (2012).

Key title: Vestnik Novosibirskogo gosudarstvennogo universiteta. Seriâ: Informacionnye tehnologii
Abbreviated key title: Vestn. Novosib. Gos. Univ., Ser.: Inf. Tehnol.
Variant title: Vestnik NGU. Seriâ: Informacionnye tehnologii

Year of Publication: 2012
ISSN: 1818-7900 (Print), ISSN 2410-0420 (Online)
Publisher: Novosibirsk State University Press
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