Front Tracking for Hyperbolic Conservation Laws

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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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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Holden, Helge (Author), Risebro, Nils Henrik (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edition:1st ed. 2011.
Series:Applied Mathematical Sciences, 152
Subjects:
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.
Online Access:Texto Completo
Table of Contents:
  • 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.    .

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