In this monograph intended for students, graduate students and researchers, the material of many years of work of a large group of specialists in the field of mathematical modeling and computing mathematics was collected together and systematized. Among the many directions and approaches competing in the modern world, the authors have chosen a relatively new direction (Kabaret method), the development of which they were involved in one way or another. This approach, developed at the Moscow State University named after M.V. Lomonosov, Ibra Ran, Tsagi and a number of other Russian and foreign (Cambridge University, the University of London “Queen Mary”) of organizations, has good competitive positions and is actively developing.
The proposed monograph describes in great detail the key idea of the “cabaret” method in its development – from the simplest linear one -dimensional equations of the hyperbolic type to the methods for solving multidimensional problems of hydrodynamics and gas dynamics on unstructured grids in complex spatial areas, x …
Publisher
Publishing House of Moscow University, 2013
Series
Supercomputer education
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