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9783662568996: Front Tracking for Hyperbolic Conservation Laws

Synopsis

This is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Several chapters have been rewritten, new material has been added, in particular, a chapter on space dependent flux functions and the detailed solution of the Riemann problem for the Euler equations.

Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included.

From the reviews of the first edition:

"It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style." D. Serre, MathSciNet

"I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course." S. Noelle, Book review, German Math. Soc.

"Making it an ideal first book for the theory of nonlinear partial differential equations...an excellent reference for a graduate course on nonlinear conservation laws." M. Laforest, Comp. Phys. Comm.

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

À propos de l?auteur

Helge Holden is professor of mathematics at the Norwegian University of Science and Technology and an adjunct professor at the Center of Mathematics for Applications, part of the University of Oslo. He has done extensive research in stochastic analysis, in particular in its application to flow in porous media.

Nils Henrik Risebro is professor of mathematics at the University of Oslo. His research interests are mainly nonlinear partial differential equations and numerical methods for these. He has also worked on conservation laws with discontinuous coefficients in a variety of applications.

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

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ISBN 10 :  3662475065 ISBN 13 :  9783662475065
Editeur : Springer-Verlag Berlin and Heide..., 2015
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Several chapters have been rewritten, new material has been added, in particular, a chapter on space dependent flux functions and the detailed solution of the Riemann problem for the Euler equations.Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included.From the reviews of the first edition:'It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style.' D. Serre, MathSciNet'I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course.' S. Noelle, Book review, German Math. Soc.'Making it an ideal first book for the theory of nonlinear partial differential equations.an excellent reference for a graduate course on nonlinear conservation laws.' M. Laforest, Comp. Phys. Comm. 532 pp. Englisch. N° de réf. du vendeur 9783662568996

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Contains a lot of theorems, with full proofs, a true piece of mathematical AnalysisOffers a detailed, rigorous and self-contained presentation of the theory of hyperbolic conservation laws from the basic theory to the forefront of researchTreats . N° de réf. du vendeur 449139337

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Taschenbuch. Etat : Neu. Neuware -This is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Several chapters have been rewritten, new material has been added, in particular, a chapter on space dependent flux functions and the detailed solution of the Riemann problem for the Euler equations.Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numericalmethod. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included.From the reviews of the first edition:'It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style.' D. Serre, MathSciNet'I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course.' S. Noelle, Book review, German Math.Soc.'Making it an ideal first book for the theory of nonlinear partial differential equations.an excellent reference for a graduate course on nonlinear conservation laws.' M. Laforest, Comp. Phys. Comm.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 532 pp. Englisch. N° de réf. du vendeur 9783662568996

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Several chapters have been rewritten, new material has been added, in particular, a chapter on space dependent flux functions and the detailed solution of the Riemann problem for the Euler equations.Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included.From the reviews of the first edition:'It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style.' D. Serre, MathSciNet'I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course.' S. Noelle, Book review, German Math. Soc.'Making it an ideal first book for the theory of nonlinear partial differential equations.an excellent reference for a graduate course on nonlinear conservation laws.' M. Laforest, Comp. Phys. Comm. N° de réf. du vendeur 9783662568996

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