Mathematical Aspects of Numerical Solution of Hyperbolic Systems

Language: English

Published by Taylor & Francis Ltd (Sales) Dez 2000, 2000

0849306086 / 9780849306082

Series: Book 8 of 34 - Monographs and Surveys in Pure and Applied Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Neuware - 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.…

Seller Inventory # 9780849306082

Title
Mathematical Aspects of Numerical Solution of Hyperbolic Systems
Author
N V Pogorelov
Publisher
Taylor & Francis Ltd (Sales) Dez 2000
Publication year
2000
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0849306086
ISBN 13
9780849306082
Item weight
898 grams
Dimensions
243x165x34 mm
Series
Book 8 of 34: Monographs and Surveys in Pure and Applied Mathematics

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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