Free Access
Volume 23, Number 2, 1989
Page(s) 261 - 282
Published online 31 January 2017
  1. D. L. BOOK, J. P. BORIS and K. HAIN, Flux-Corrected-Transport II Generalisation of the method, J. of Comp. Phys., 18 (1975), pp 248-283. [Zbl: 0306.76004] [Google Scholar]
  2. B. ENGQUIST and S. OSHER, Stable and entropy condition satisfying approximations for transonic flow calculations, Math. Comp., 34 (1980), pp 45-75. [MR: 551290] [Zbl: 0438.76051] [Google Scholar]
  3. A. HARTEN, On a class of high resolution total-variation stable finite difference schemes, SIAM J. of Numer. Anal. 21, 1 (1984), pp. 1-23. [MR: 731210] [Zbl: 0547.65062] [Google Scholar]
  4. A. Y. LE ROUX, Convergence of an accurate scheme for first order quasi-linear equations, R.A.I.R.O. Analyse Numérique 15, 2 (1981), pp 151-170. [EuDML: 193373] [MR: 618820] [Zbl: 0474.65073] [Google Scholar]
  5. A. MAJDA and S. OSHER, Numerical viscosity and the entropy condition, Comm. Pure Appl. Math. 32 (1979), pp 797-834. [MR: 539160] [Zbl: 0405.76021] [Google Scholar]
  6. M. S. MOCK, Some higher order difference schemes enforcing an entropy inequality, Michigan Math. J. 25 (1978), pp. 325-344. [MR: 512903] [Zbl: 0377.65049] [Google Scholar]
  7. S. OSHER and S. CHAKRAVARTHY, High resolution schemes and the entropy condition, SIAM J. Number. Anal. 21, 5 (1984), pp. 955-984. [MR: 760626] [Zbl: 0556.65074] [Google Scholar]
  8. S. OSHER, Convergence of generalized MUSCL schemes, SIAM J. Numer. Anal. 22, 5 (1985), pp. 947-961. [MR: 799122] [Zbl: 0627.35061] [Google Scholar]
  9. B. VAN-LEER, Towards the ultimate conservative scheme-5, J. of Comput. Phys. 32, 1 (1979), pp. 101-136. [MR: 1703646] [Google Scholar]
  10. J. P. VILA, Sur la théorie et l'approximation numérique des problèmes hyperboliques non lineaire Applications aux équations de Saint-Venant et a la modélisation des avalanches de neige dense, Thesis, Paris 6 (1986). [Google Scholar]
  11. J. P. VILA, High order schemes and entropy condition for nonlinear hyperbolic Systems of conservation laws, Math. of Comp., 50, 181 (1988), 53-73. [MR: 917818] [Zbl: 0644.65058] [Google Scholar]
  12. J. P. VILA, P1-methods for the approximation of the conservation laws, To appear in SIAMNUM. [Google Scholar]

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