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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2012 Volume 24, Number 11, Pages 33–52 (Mi mm3238)

This article is cited in 64 papers

Resolution limits of continuous media models and their mathematical formulations

Boris N. Chetverushkin

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Abstract: In this work we present new mathematical formulations for a number of continuous media models. the developed formulations account for physical constraints on resolution level of media description. Compared to classical formulations the presented ones introduce additional terms which allow for construction of numerical schemes well suited for their efficient implementation for high-performance computer systems.

Keywords: high-performance computing, resolution limits, kinetic scheme.

Received: 06.04.2012


 English version:
Mathematical Models and Computer Simulations, 2013, 5:3, 266–279

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