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About the Lax-Friedrichs scheme for the numerical approximation of hyperbolic conservation laws

  1. Michael Breuß

Article first published online: 27 DEC 2004

DOI: 10.1002/pamm.200410299

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PAMM

PAMM

Volume 4, Issue 1, pages 636–637, December 2004

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How to Cite

Breuß, M. (2004), About the Lax-Friedrichs scheme for the numerical approximation of hyperbolic conservation laws. Proc. Appl. Math. Mech., 4: 636–637. doi: 10.1002/pamm.200410299

Author Information

  1. Technische Universität Braunschweig, Institut für Analysis, Pockelsstraße 14, Germany

Publication History

  1. Issue published online: 27 DEC 2004
  2. Article first published online: 27 DEC 2004

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References

  • [1]
    Breuß, M. (2003): On the correct use of the Lax-Friedrichs method. Accepted for publication in M2AN.
  • [2]
    Lax, P. D. (1954): Weak solutions of nonlinear hyperbolic equations and their numerical approximation. Comm. Pure and Appl. Math., 7, 159-193
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  • [3]
    LeFloch, P. G., Liu, J.-G. (1999): Generalized Monotone Schemes, Discrete Paths of Extrema, and Discrete Entropy Conditions. Math. Comp., 68, No. 227, 1025-1055
  • [4]
    LeVeque, R. J. (2002): Finite Volume Methods for Hyperbolic Problems. Cambridge University Press
  • [5]
    Nessyahu, H., Tadmor, E. (1990): Non-oscillatory central differencing for hyperbolic conservation laws. J. Comput. Phys., 87, 408-436
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