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Front Tracking for Hyperbolic Conservation Laws

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Holden, Helge (Autor), Risebro, Nils Henrik (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Applied Mathematical Sciences, 152
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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
  • Total Variations, Compactness etc.
  • The Method of Vanishing Viscosity
  • Answers and Hints
  • References
  • Index.    .