Skip to main content
SpringerLink
Log in

Analysis and Numerics for Conservation Laws

  • Book
  • © 2005

Overview

Editors:
  1. Gerald Warnecke

    1. Institut für Analysis und Numerik, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • New results in major area of partial differential equations

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (22 chapters)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. Wave Processes at Interfaces

    • Sigrid Andreae, Josef Ballmann, Siegfried Müller
    Pages 1-25

  3. Numerics for Magnetoplasmadynamic Propulsion

    • Jörg Heiermann, Monika Auweter-Kurtz, Christian Sleziona
    Pages 27-45

  4. Hexagonal Kinetic Models and the Numerical Simulation of Kinetic Boundary Layers

    • Hans Babovsky
    Pages 47-67

  5. High-resolution Simulation of Detonations with Detailed Chemistry

    • Ralf Deiterding, Georg Bader
    Pages 69-91

  6. Numerical Linear Stability Analysis for Compressible Fluids

    • Andreas S. Bormann
    Pages 93-105

  7. Simulation of Solar Radiative Magneto-Convection

    • M. Schüssler, J.H.M.J. Bruls, A. Vögler, P. Vollmöller
    Pages 107-136

  8. Riemann Problem for the Euler Equation with Non-Convex Equation of State including Phase Transitions

    • Wolfgang Dahmen, Siegfried Müller, Alexander Voß
    Pages 137-162

  9. Radiation Magnetohydrodynamics: Analysis for Model Problems and Efficient 3d-Simulations for the Full System

    • A. Dedner, D. Kröner, C. Rohde, M. Wesenberg
    Pages 163-202

  10. Kinetic Schemes for Selected Initial and Boundary Value Problems

    • Wolfgang Dreyer, Michael Herrmann, Matthias Kunik, Shamsul Qamar
    Pages 203-232

  11. A Local Level-Set Method under Involvement of Topological Aspects

    • F. Völker, R. Vilsmeier, D. Hänel
    Pages 233-256

  12. Hyperbolic Systems and Transport Equations in Mathematical Biology

    • T. Hillen, K.P. Hadeler
    Pages 257-279

  13. Travelling Waves in Systems of Hyperbolic Balance Laws

    • Jörg Härterich, Stefan Liebscher
    Pages 281-300

  14. The Role of the Jacobian in the Adaptive Discontinuous Galerkin Method for the Compressible Euler Equations

    • Ralf Hartmann
    Pages 301-316

  15. The Multi-Scale Dust Formation in Substellar Atmospheres

    • Christiane Helling, Rupert Klein, Erwin Sedlmayr
    Pages 317-337

  16. Meshless Methods for Conservation Laws

    • D. Hietel, M. Junk, J. Kuhnert, S. Tiwari
    Pages 339-362

  17. Simulations of Turbulent Thermonuclear Burning in Type Ia Supernovae

    • W. Hillebrandt, M. Reinecke, W. Schmidt, F.K. Röpke, C. Travaglio, J.C. Niemeyer
    Pages 363-384

  18. Hyperbolic GLM Scheme for Elliptic Constraints in Computational Electromagnetics and MHD

    • Y.J. Lee, R. Schneider, C.-D. Munz, F. Kemm
    Pages 385-404

  19. Flexible Flame Structure Modelling in a Flame Front Tracking Scheme

    • Heiko Schmidt, Rupert Klein
    Pages 405-427

  20. Riemann-Solver Free Schemes

    • Tim Kröger, Sebastian Noelle
    Pages 429-451
Back to top

Keywords

About this book

Whatdoasupernovaexplosioninouterspace,?owaroundanairfoil and knocking in combustion engines have in common? The physical and chemical mechanisms as well as the sizes of these processes are quite di?erent. So are the motivations for studying them scienti?cally. The super- 8 nova is a thermo-nuclear explosion on a scale of 10 cm. Astrophysicists try to understand them in order to get insight into fundamental properties of the universe. In ?ows around airfoils of commercial airliners at the scale of 3 10 cm shock waves occur that in?uence the stability of the wings as well as fuel consumption in ?ight. This requires appropriate design of the shape and structure of airfoils by engineers. Knocking occurs in combustion, a chemical 1 process, and must be avoided since it damages motors. The scale is 10 cm and these processes must be optimized for e?ciency and environmental conside- tions. The common thread is that the underlying ?uid ?ows may at a certain scale of observation be described by basically the same type of hyperbolic s- tems of partial di?erential equations in divergence form, called conservation laws. Astrophysicists, engineers and mathematicians share a common interest in scienti?c progress on theory for these equations and the development of computational methods for solutions of the equations. Due to their wide applicability in modeling of continua, partial di?erential equationsareamajor?eldofresearchinmathematics. Asubstantialportionof mathematical research is related to the analysis and numerical approximation of solutions to such equations. Hyperbolic conservation laws in two or more spacedimensionsstillposeoneofthemainchallengestomodernmathematics.

Editors and Affiliations

  • Institut für Analysis und Numerik, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Germany

    Gerald Warnecke

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation