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 line are treated in detail. A chapter on finite differences is included. From the reviews: "It is already one of the few best digests on this topic. The present book is an excellent compromise betwee…
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- Full title :Front Tracking for Hyperbolic Conservation Laws / by Helge Holden, Nils H. Risebro.
Summary
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 line are treated in detail. A chapter on finite differences is included. From the reviews: "It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style." D. Serre, MathSciNet "I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course." S. Noelle, Book review, German Math. Soc. "Making it an ideal first book for the theory of nonlinear partial differential equations...an excellent reference for a graduate course on nonlinear conservation laws." M. Laforest, Comp. Phys. Comm.
Read More ↓Edition Statements
- Publication Date:2011
Publication Statements
- Publisher(s):Springer Berlin Heidelberg
- Place of Publication:Berlin, Heidelberg
- Language:eng
- Publication Date:2011
The Physical Object
- Description:1 recurs en línia (1 recurs en línia (XII, 361 pàgines) :) : 40 il·lustracions.
Edition Identifiers
- ISBN:9783642239113, 3642239110
- oclc:on1120670863
Table of Contents
Conté: 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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