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Front Tracking for Hyperbolic Conservation Laws: v.152 (Applied Mathematical Sciences) - Tapa dura

Holden, Helge; Risebro, N.H.

 
9783540432890: Front Tracking for Hyperbolic Conservation Laws: v.152 (Applied Mathematical Sciences)
Tapa dura
ISBN 10: 3540432892 ISBN 13: 9783540432890
Editorial: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2002

Sinopsis

This book presents the theory of hyperbolic conservation laws from basic theory to the forefront of research. The text treats the theory of scalar conservation laws in one dimension in detail, showing the stability of the Cauchy problem using front tracking. The extension to multidimensional scalar conservation laws is obtained using dimensional splitting. The book includes detailed discussion of the recent proof of well-posedness of the Cauchy problem for one-dimensional hyperbolic conservation laws, and a chapter on traditional finite difference methods for hyperbolic conservation laws with error estimates and a section on measure valued solutions.

"Sinopsis" puede pertenecer a otra edición de este libro.

Críticas

From the reviews: MATHEMATICAL REVIEWS "...distinguished in the sense that, although its main scope is front tracking...it addresses a larger audience, being also concerned with numerics and applications...The present book is an excellent compromise between theory and practice. Since it contains a lot of theorems, with full proofs, it is a true piece of mathematical analysis. On the other hand, it displays a lot of details and information about numerical approximation for the Cauchy problem. Thus it will be of interest for a wide audience. Students will appreciate the lively and accurate style, the numerous exercises (55 in all) and the fact that the authors systematically avoid side or exotic topics. As mentioned on the back cover, this text is suitable for graduate courses in PDEs and numerical analysis. Since most advanced analytical material is given in appendices, it does not require much background." "The book under review provides a self-contained, thorough, and modern account of the mathematical theory of hyperbolic conservation laws. ... gives a detailed treatment of the existence, uniqueness, and stability of solutions to a single conservation law in several space dimensions and to systems in one dimension. This book ... is a timely contribution since it summarizes recent and efficient solutions to the question of well-posedness. This book would serve as an excellent reference for a graduate course on nonlinear conservation laws ... ." (M. Laforest, Computer Physics Communications, Vol. 155, 2003) "The present book is an excellent compromise between theory and practice. Since it contains a lot of theorems, with full proofs, it is a true piece of mathematical analysis. On the other hand, it displays a lot of details and information about numerical approximation for the Cauchy problem. Thus it will be of interest for a wide audience. Students will appreciate the lively and accurate style ... . this text is suitable for graduate courses in PDEs and numerical analysis." (Denis Serre, Mathematical Reviews, 2003 e)

Reseña del editor

This book presents the theory of hyperbolic conservation laws from basic theory to the forefront of research. The text treats the theory of scalar conservation laws in one dimension in detail, showing the stability of the Cauchy problem using front tracking. The extension to multidimensional scalar conservation laws is obtained using dimensional splitting. The book includes detailed discussion of the recent proof of well-posedness of the Cauchy problem for one-dimensional hyperbolic conservation laws, and a chapter on traditional finite difference methods for hyperbolic conservation laws with error estimates and a section on measure valued solutions.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Año de publicación
2002
Idioma
Inglés
ISBN 10 
3540432892
ISBN 13 
9783540432890
Encuadernación
Tapa dura
Número de páginas
378
Contacto del fabricante
Springer-Verlag GmbH
customerservice@springernature.com

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