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Front Tracking for Hyperbolic Conservation Laws

  • Helge Holden
  • Nils Henrik Risebro

Part of the Applied Mathematical Sciences book series (AMS, volume 152)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Helge Holden, Nils Henrik Risebro
    Pages 1-21
  3. Helge Holden, Nils Henrik Risebro
    Pages 23-62
  4. Helge Holden, Nils Henrik Risebro
    Pages 63-116
  5. Helge Holden, Nils Henrik Risebro
    Pages 117-162
  6. Helge Holden, Nils Henrik Risebro
    Pages 163-204
  7. Helge Holden, Nils Henrik Risebro
    Pages 205-231
  8. Helge Holden, Nils Henrik Risebro
    Pages 233-286
  9. Back Matter
    Pages 287-364

About this book

Introduction

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.

"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.

Keywords

YellowSale2006 conservation laws front tracking hyperbolic partial differential equations Cauchy problem conservation law convergence differential equation hyperbolic partial differential equation Mathematica measure nonlinear partial differential equation numerical method partial differential equation solution stability

Authors and affiliations

  • Helge Holden
    • 1
  • Nils Henrik Risebro
    • 2
  1. 1.Department of Mathematical SciencesNorwegian University of Science and TechnologyTrondheimNorway
  2. 2.Department of MathematicsUniversity of OsloOsloNorway

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-56139-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-43289-0
  • Online ISBN 978-3-642-56139-9
  • Series Print ISSN 0066-5452
  • Series Online ISSN 2196-968X
  • Buy this book on publisher's site