Front Tracking for Hyperbolic Conservation Laws

• Main Authors: Holden, Helge (Author), Risebro, Nils H. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Series: Applied Mathematical Sciences, 152
• Subjects: Mathematics.; Applied mathematics.; Engineering mathematics.; Numerical analysis.; Physics.; Applications of Mathematics.; Numerical Analysis.; Theoretical, Mathematical and Computational Physics.; Appl.Mathematics/Computational Methods of Engineering.

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...

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.    .