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Bücher Englische Bücher Front Tracking for Hyperbolic Conservation Laws
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Front Tracking for Hyperbolic Conservation Laws
Helge Holden, Nils H. Risebro (Gebundene Ausgabe, Englisch)
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Beschreibung
Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations, and in many applications in science and technology. In this book the reader is given a detailed, rigorous, and self-contained presentation of the theory of hyperbolic conservation laws from the basic theory up to the research front. The approach is constructive, and the mathematical approach using… front tracking can be applied directly as a numerical method. After a short introduction on the fundamental properties of conservation laws, the theory of scalar conservation laws in one dimension is treated 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. The classical theory of Kruzkov and Kuznetsov is covered. Systems of conservation laws in one dimension are treated in detail, starting with the solution of the Riemann problem. Solutions of the Cauchy problem are proved to exist in a constructive manner using front tracking, amenable to numerical computations. The book includes a detailed discussion of the very recent proof of wellposedness of the Cauchy problem for one-dimensional hyperbolic conservation laws. The book includes a chapter on traditional finite difference methods for hyperbolic conservation laws with error estimates and a section on measure valued solutions. Extensive examples are given, and many exercises are included with hints and answers. Additional background material not easily available elsewhere is given in appendices. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
01.08.2002
Sprache
Englisch
EAN
9783540432890
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Applied Mathematical Sciences
Sonderedition
Nein
Autor
Helge Holden, Nils H. Risebro
Seitenanzahl
364
Auflage
1
Einbandart
Gebundene Ausgabe
-.-
★★★★★
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