Free Access
Issue
ESAIM: M2AN
Volume 23, Number 2, 1989
Page(s) 261 - 282
DOI https://doi.org/10.1051/m2an/1989230202611
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]
  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]
  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]
  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]
  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]
  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]
  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]
  8. S. OSHER, Convergence of generalized MUSCL schemes, SIAM J. Numer. Anal. 22, 5 (1985), pp. 947-961. [MR: 799122] [Zbl: 0627.35061]
  9. B. VAN-LEER, Towards the ultimate conservative scheme-5, J. of Comput. Phys. 32, 1 (1979), pp. 101-136. [MR: 1703646]
  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).
  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]
  12. J. P. VILA, P1-methods for the approximation of the conservation laws, To appear in SIAMNUM.

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you