Mathematical Aspects of Numerical Solution of Hyperbolic Systems - Rilegato

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

 
9780849306082: Mathematical Aspects of Numerical Solution of Hyperbolic Systems
Rilegato
ISBN 10: 0849306086 ISBN 13: 9780849306082
Casa editrice: Chapman and Hall/CRC, 2000

Sinossi

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.

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Informazioni sull?autore

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

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Chapman and Hall/CRC
Data di pubblicazione
2000
Lingua
Inglese
ISBN 10 
0849306086
ISBN 13 
9780849306082
Rilegatura
Copertina rigida
Numero edizione
1
Numero di pagine
554
Contatto del produttore
non disponibile
Persona responsabile
non disponibile

Altre edizioni note dello stesso titolo

9780367397739: Mathematical Aspects of Numerical Solution of Hyperbolic Systems

Edizione in evidenza

ISBN 10:  0367397730 ISBN 13:  9780367397739
Casa editrice: Chapman and Hall/CRC, 2019
Brossura