Free Access
Issue
ESAIM: M2AN
Volume 23, Number 4, 1989
Page(s) 565 - 592
DOI https://doi.org/10.1051/m2an/1989230405651
Published online 31 January 2017
  1. Y. BRENIER and S. OSHER, Approximate Riemman Solvers and Numerical Flux Functions, ICASE report n° 84-63 (1984). [Zbl: 0597.65071]
  2. G. CHAVENT and B. COCKBURN, Convergence et Stabilité des Schémas LRG, INRIA report.
  3. G. CHAVENT and G. SALZANO, A finite Element Method for the 1D Water Flooding Problem with Gravity, J. Comp. Phys., 45 (1982), pp. 307-344. [MR: 666166] [Zbl: 0489.76106]
  4. B. COCKBURN, Le Schéma G-k/2 pour les Lois de Conservation Scalaires, Congrès National d'Analyse Numérique (1984), pp. 53-56.
  5. B. COCKBURN, The Quasi-Monotone schemes for Scalar Conservation Laws, IMA Preprint Séries n° 263, 268 and 277. To appear in SIAM J. Numer. Anal. [MR: 1025091]
  6. A. HARTEN, On a class of high-resolution total-variation-stable finite-differene schemes, SIAM J. Numer. AnaL, 21 (1984), pp. 1-23. [MR: 731210] [Zbl: 0547.65062]
  7. C. JOHNSON and J. PITKARANTA, An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation, Math, of Comp., 46 (1986), pp.1-26. [MR: 815828] [Zbl: 0618.65105]
  8. A. Y. LEROUX, A Numerical Conception of Entropy for Quasi-Linear Equations, Math. of Comp., 31 (1977), pp. 848-872. [MR: 478651] [Zbl: 0378.65053]
  9. P. LESAINT and P. A. RAVIART, On a Finite Element Method for Solving the Neutron Transport Equation, Mathematical Aspects of Finite Element in Partial Differential Equations, Academic Press, Ed. Carl de Boor, pp. 89-145. [Zbl: 0341.65076]
  10. S. OSHER, Convergence of Generalized MUSCL Schemes, SIAM J. Numer. Anal., 22 (1984), pp. 947-961. [MR: 799122] [Zbl: 0627.35061]
  11. S. OSHER, Riemman Solvers, the Entropy Condition and Difference Approximations, SIAM J. Numer. Anal., 21 (1984), pp. 217-235. [MR: 736327] [Zbl: 0592.65069]
  12. E. TADMOR, Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes, Math. Comp., 43 (1984), pp. 369-381. [MR: 758189] [Zbl: 0587.65058]
  13. B. VAN LEER, Towards the Ultimate Conservative Scheme, II Monotonicity and Conservation Combined in a Second Order Scheme, J. Comput. Phys., 14 (1974), pp. 361-370. [Zbl: 0276.65055]

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