Front Tracking for Hyperbolic Conservation Laws

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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 fo...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Holden, Helge (Auteur), Risebro, Nils Henrik (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
Édition:2nd ed. 2015.
Collection:Applied Mathematical Sciences, 152
Sujets:
Mathematics.
Numerical analysis.
Mathematical physics.
Engineering mathematics.
Engineering-Data processing.
Applications of Mathematics.
Numerical Analysis.
Theoretical, Mathematical and Computational Physics.
Mathematical and Computational Engineering Applications.
Accès en ligne:Texto Completo
Table des matières:
  • Preface
  • Introduction
  • Scalar Conservation Laws
  • A Short Course in Difference Methods
  • Multidimensional Scalar Conservation Laws
  • The Riemann Problem for Systems
  • Existence of Solutions of the Cauchy Problem
  • Well-Posedness of the Cauchy Problem
  • Conservation Laws with Discontinuous Flux Functions
  • Total Variation, Compactness etc
  • The Method of Vanishing Viscosity
  • Answers and Hints
  • Index.

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