Overview
- Contains a lot of theorems, with full proofs, a true piece of mathematical analysis
- Offers a detailed, rigorous, and self-contained presentation of the theory of hyperbolic conservation laws from the basic theory to the forefront of research
- Displays a lot of details and information about numerical approximation for the Cauchy problem
- Suitable for graduate courses in PDEs and numerical analysis
- Includes supplementary material: sn.pub/extras
Part of the book series: Applied Mathematical Sciences (AMS, volume 152)
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Table of contents (7 chapters)
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Front Tracking for Hyperbolic Conservation Laws
Authors: Helge Holden, Nils H. Risebro
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-642-23911-3
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2011
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: XII, 361
Number of Illustrations: 40 b/w illustrations
Topics: Applications of Mathematics, Numerical Analysis, Theoretical, Mathematical and Computational Physics, Mathematical and Computational Engineering