Front Tracking for Hyperbolic Conservation Laws

• Main Authors: Holden, Helge (Author), Risebro, Nils Henrik (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
• Edition: 2nd ed. 2015.
• 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.

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...

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
• Conservation Laws with Discontinuous Flux Functions
• Total Variation, Compactness etc
• The Method of Vanishing Viscosity
• Answers and Hints
• Index.