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 Writing positive, well-balanced, entropy satisfying numerical schemes for shallow water flows Entropy satisfying schemes for shallow water systems.
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Writing positive, well-balanced, entropy satisfying numerical schemes for shallow water flows Entropy satisfying schemes for shallow water systems.

автор Tomas M.d.L. издательство Книга по Требованию Математический анализ. Кратные и криволинейные интегралы. Задачи, решения
Cтраниц 140        мягкая обложка       
Аннотация:Entropy inequalities play an essential role in the election of a unique solution among all possible weak solutions for a system of conservation laws. We seek that these schemes will also satisfy properties like steady-states preservation and positiviy of water heights. Nevertheless, developing numerical schemes that agree to this notion of entropy and at the same time grant some other "good" properties is not an easy task. Each particular case is studied and some schemes that agree to an entropy inequality are presented. Existence of an entropy will also allow to study the stability of numerical schemes for such equations and the main ideas can be easily extended to the more general case of quasi-linear systems. Here we study the case of shallow water systems. In particular, the classical one-layer and two-layer shallow water systems and a generalized Savage-Hutter model are considered.
Автор: Tomas M.d.L.
Издательство: Книга по Требованию
Год:2009
Цена:
2415 руб
Нет в наличии
Поиск: Writing positive, well-balanced, entropy satisfying numerical schemes for shallow water flows Entropy satisfying schemes for shallow water systems.


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