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Hyperbolic Partial Differential Equations

Theory, Numerics and Applications

  • Andreas Meister
  • Jens Struckmeier

Table of contents

  1. Front Matter
    Pages i-xi
  2. Andreas Meister, Jens Struckmeier
    Pages 1-57
  3. Andreas Meister, Jens Struckmeier
    Pages 59-114
  4. Andreas Meister, Jens Struckmeier
    Pages 115-232
  5. Andreas Meister, Jens Struckmeier
    Pages 233-267
  6. Andreas Meister, Jens Struckmeier
    Pages 269-320

About this book

Introduction

The book gives an introduction to the fundamental properties of hyperbolic partial differential equations und their appearance in the mathematical modeling of various
problems from practice. It shows in an unique manner concepts for the numerical treatment of such equations starting from basic algorithms up actual research topics in this area. The numerical methods discussed are central and upwind schemes for structured and unstructured grids based on ENO and WENO reconstructions, pressure correction schemes like SIMPLE and PISO as well as asymptotic-induced algorithms for low-Mach number flows. The book is mainly written for students from mathematics, physics and engineering but also well suited for researchers from academic institutes and industry.

Keywords

Computational Fluid Dynamics Industrial Mathematics Industriemathematik Numerics Numerik Partial Differential Equations Partielle Differentialgleichungen Strömungsmechanik hyperbolic partial differential equation partial differential equation

Authors and affiliations

  • Andreas Meister
    • 1
  • Jens Struckmeier
    • 2
  1. 1.Institut für MathematikMedizinische Universität zu LübeckLübeckGermany
  2. 2.Fachbereich MathematikUniversität HamburgHamburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-322-80227-9
  • Copyright Information Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden 2002
  • Publisher Name Vieweg+Teubner Verlag
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-322-80229-3
  • Online ISBN 978-3-322-80227-9
  • Buy this book on publisher's site