Titlebook: Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows; V. V. Aristov Book 2001 Springer Science+Business Med

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Jens Kleinert,Isabel Hamm,Marion Sulprizioes intrinsic to computational mathematics based on notions of approximation and convergence. In contrast, for example, to the physical and engineering ideas of Monte Carlo simulation, the direct approaches (besides the obvious physical analogies) appeal originally to clear mathematical images. Howev

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https://doi.org/10.1007/978-3-662-50389-8tion in the collision operators [.–.]. Note, that the other discrete velocity approaches with constant coefficients in the quadratic form approximating the right-hand side of the Boltzmann equation are developed in recent years [.–.]. Such numerical schemes are attractive due to the simple structure

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https://doi.org/10.1007/978-3-662-50389-8) being extended to a discrete level. The concept of conservativity has long been abandoned in computational mathematics (see, for example, [.,.]). Evident advantages of such kind schemes have been verified in wide practical experience.

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https://doi.org/10.1007/978-3-662-50389-8-dimensional problems. And although the use and analysis of parallel algorithms in the dynamics of rarefied gases was initiated only in the last few years, our description of state of art in this field will be out of date as soon as it is published. Nevertheless, we can note the main features of sch

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