Skip to main content

Some numerical experiments with dafermos's method for nonlinear hyperbolic equations

II. Näherungsverfahren Für nichtlineare Anfangswertaufgaben Und Anfangsrandwertaufgaben

Part of the Lecture Notes in Mathematics book series (LNM,volume 267)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   49.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ansorge, R. Die Adams-Verfehren als Charakteristikenverfahren höherer Ordnung zur Lösung von hyperbolischen Systemen halblinearer Differentialgleichungen, Numer. Math. 5 (1963), 443–460.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Dafermos, Constantine M., Polygonal approximations of solutions of the initialvalue problem for a conservation law, J. Math. Anal. Appl., to appear.

    Google Scholar 

  3. Greenberg, James M., On the interaction of shocks and simple waves of the same family, Arch. Rational Mech. Anal. 37 (1970), 136–160.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Lax, P. D., Hyperbolic systems of conservation laws, II, Comm. Pure Appl. Math. 10 (1957), 537–566.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Leibovich, Lewis, Solutions of Riemann problems for hyperbolic systems of quasilinear equations without convexity conditions, to appear.

    Google Scholar 

  6. Moler, Cleve, and Joel Smoller, Elementary interactions in quasilinear hyperbolic systems, Arch. Rational Mech. Anal. 37 (1970), 309–322.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Smoller, J. A., On the solution of the Riemann problem with general step data for an extended class of hyperbolic system, Michigan Math. J. 16 (1969), 201–210.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Smoller, J. A., and J. L. Johnson, Global solutions for an extended class of hyperbolic system of conservation laws, Arch. Rational Mech. Anal. 32 (1969), 169–189.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1972 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Hedstrom, G.W. (1972). Some numerical experiments with dafermos's method for nonlinear hyperbolic equations. In: Ansorge, R., Törnig, W. (eds) Numerische Lösung nichtlinearer partieller Differential- und Integrodifferentialgleichungen. Lecture Notes in Mathematics, vol 267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061617

Download citation

  • DOI: https://doi.org/10.1007/BFb0061617

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05895-3

  • Online ISBN: 978-3-540-37540-1

  • eBook Packages: Springer Book Archive