Front Tracking for Hyperbolic Conservation Laws

• Κύριοι συγγραφείς: Holden, Helge (Συγγραφέας), Risebro, Nils H. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Σειρά: Applied Mathematical Sciences, 152
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.    .