Skip to main content

Resolution Numerique de Certains Problemes Hyperboliques non Lineaires. Methode de Pseudo-Viscosite

Invited Papers

Part of the Lecture Notes in Mathematics book series (LNM,volume 228)

Keywords

  • Nous Allons
  • Nous Renvoyons
  • Tendent Vers
  • Obtient Donc
  • Produit Scalaire

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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   46.00
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. J.M. GREENBERG. On the existence, uniqueness and stability of solutions of the equation \(\rho oXtt = E(Xx)Xxx + \lambda Xxxt\), Journal of Math. Anal. and Appl., 25 (1969), 575–591.

    CrossRef  Google Scholar 

  2. J.M. GREENBERG; R.C. Mac CAMY et V.J. MIZEL. On the existence, uniqueness and stability of solutions of the equation \(\sigma '(ux)uxx + \lambda uxtx = \rho outt\), Journal of Math. Mech., 17 (1968), 707–728.

    MathSciNet  MATH  Google Scholar 

  3. J.L. LIONS et E. MAGENES. Problèmes aux limites non homogènes, vol. 1, Paris, Dunod, 1968.

    MATH  Google Scholar 

  4. P.A. RAVIART. Sur l'approximation de certaines équations d'évolution linéaires et non linéaires, Journal Math. pures et appl., 46 (1967), 11–183.

    MathSciNet  MATH  Google Scholar 

  5. P.A. RAVIART. Sur la résolution numérique de l'équation \(\frac{{\partial u}}{{\partial t}} + u\frac{{\partial u}}{{\partial x}} - \varepsilon \frac{\partial }{{\partial x}}\left( {\left| {\frac{{\partial u}}{{\partial t}}} \right|\frac{{\partial u}}{{\partial x}}} \right),\), Journal of Diff. Eq., 8 (1970), 56–94.

    CrossRef  MathSciNet  Google Scholar 

  6. R.D. RICHTMYER et K.W. MORTON. Difference methods for initial value problems, New-York, Interscience, 1967.

    MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1971 Springer-Verlag

About this paper

Cite this paper

Raviart, P.A. (1971). Resolution Numerique de Certains Problemes Hyperboliques non Lineaires. Methode de Pseudo-Viscosite. In: Morris, J.L. (eds) Conference on Applications of Numerical Analysis. Lecture Notes in Mathematics, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069456

Download citation

  • DOI: https://doi.org/10.1007/BFb0069456

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05656-0

  • Online ISBN: 978-3-540-36976-9

  • eBook Packages: Springer Book Archive