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Mathematical Aspects of Numerical Solution of Hyperbolic Systems - Couverture rigide

Livre 8 sur 34: Monographs and Surveys in Pure and Applied Mathematics

Kulikovskii, A.G.; Pogorelov, N.V.; Semenov, A. Yu.

 
9780849306082: Mathematical Aspects of Numerical Solution of Hyperbolic Systems
Couverture rigide
ISBN 10 : 0849306086 ISBN 13 : 9780849306082
Editeur : CRC Press Inc, 2000

Synopsis

This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. The authors present the material in the context of the important mechanical applications of such systems, including the Euler equations of gas dynamics, magnetohydrodynamics (MHD), shallow water, and solid dynamics equations. This treatment provides-for the first time in book form-a collection of recipes for applying higher-order non-oscillatory shock-capturing schemes to MHD modelling of physical phenomena. The authors also address a number of original "nonclassical" problems, such as shock wave propagation in rods and composite materials, ionization fronts in plasma, and electromagnetic shock waves in magnets. They show that if a small-scale, higher-order mathematical model results in oscillations of the discontinuity structure, the variety of admissible discontinuities can exhibit disperse behavior, including some with additional boundary conditions that do not follow from the hyperbolic conservation laws. Nonclassical problems are accompanied by a multiple nonuniqueness of solutions. The authors formulate several selection rules, which in some cases easily allow a correct, physically realizable choice. This work systematizes methods for overcoming the difficulties inherent in the solution of hyperbolic systems. Its unique focus on applications, both traditional and new, makes Mathematical Aspects of Numerical Solution of Hyperbolic Systems particularly valuable not only to those interested the development of numerical methods, but to physicists and engineers who strive to solve increasingly complicated nonlinear equations.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Kulikovskii, A.G.; Pogorelov, N.V.; Semenov, A. Yu.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
CRC Press Inc
Date d'édition
2000
Langue
anglais
ISBN 10 
0849306086
ISBN 13 
9780849306082
Reliure
Relié
Nombre de pages
554
Coordonnées du fabricant
non disponible
Personne responsable
non disponible