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
Autores principales: Holden, Helge, 1956-...., mathématicien, Risebro, Nils Henrik, 19..-...., mathématicien (Autor)
Formato: Livre numérique
Lenguaje:Anglais
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg 2011.
Cham : Springer Nature
Colección:Applied Mathematical Sciences 152
Materias:
Acceso en línea:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Front Tracking for Hyperbolic Conservation Laws, Texte imprimé, 9783642239120
• Front tracking for hyperbolic conservation laws, Helge Holden, Nils Henrik Risebro, Corrected 2nd printing [of the 1st edition], 2007, New York, Springer, 1 vol. (XII-361 p.), Applied mathematical sciences, 978-3-642-23910-6
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.    .