Name: Front Tracking for Hyperbolic Conservation Laws (Applied Mathematical Sciences, 152) (en Inglés)
SKU: 62119796
Price: 83.33 USD
Availability: InStock
Author: Helge Holden

portada Front Tracking for Hyperbolic Conservation Laws (Applied Mathematical Sciences, 152) (en Inglés)

Front Tracking for Hyperbolic Conservation Laws (Applied Mathematical Sciences, 152) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Helge Holden

Idioma

Inglés

N° páginas

276

Encuadernación

Tapa Blanda

ISBN13

9783642627972

N° edición

2002nd

Front Tracking for Hyperbolic Conservation Laws (Applied Mathematical Sciences, 152) (en Inglés)

Helge Holden (Autor) · Springer · Tapa Blanda

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Reseña del libro "Front Tracking for Hyperbolic Conservation Laws (Applied Mathematical Sciences, 152) (en Inglés)"

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. Inhomogeneous equations and equations with diffusive terms are included as well as a discussion of convergence rates, and coverage of the classical theory of Kruzkov and Kuznetsov. Systems of conservation laws in one dimension are treated in detail, starting with the solution of the Riemann problem. 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.