Free Access
Issue
ESAIM: M2AN
Volume 38, Number 2, March-April 2004
Page(s) 345 - 357
DOI https://doi.org/10.1051/m2an:2004016
Published online 15 March 2004
  1. M.G. Crandall and A. Majda, Monotone difference approximations for scalar conservation laws. Math. Comput. 34 (1980) 1–21. [CrossRef] [MathSciNet] [Google Scholar]
  2. A. Harten, High resolution schemes for hyperbolic conservation laws. J. Comput. Phys. 49 (1983) 357–393. [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
  3. A. Harten and S. Osher, Uniformly high order accurate non-oscillatory schemes I. SIAM J. Numer. Anal. 24 (1987) 229–309. [Google Scholar]
  4. A. Harten, J.M. Hyman and P.D. Lax, On finite difference approximations and entropy conditions for shocks. Comm. Pure Appl. Math. 29 (1976) 297–322. [CrossRef] [MathSciNet] [Google Scholar]
  5. C. Helzel and G. Warnecke, Unconditionally stable explicit schemes for the approximation of conservation laws, in Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, B. Fiedler Ed., Springer (2001). Also available at http://www.math.fu-berlin.de/∼danse/bookpapers/ [Google Scholar]
  6. N.N. Kuznetsov, Accuracy of some approximate methods for computing the weaks solutions of a first-order quasi-linear equation. USSR. Comput. Math. Phys. 16 (1976) 105–119. [CrossRef] [Google Scholar]
  7. X.D. Liu and E. Tadmor, Third order nonoscillatory central scheme for hyperbolic conservation laws. Numer. Math. 79 (1998) 397–425. [CrossRef] [MathSciNet] [Google Scholar]
  8. F. Sabac, The optimal convergence rate of monotone finite difference methods for hyperbolic conservation laws. SIAM J. Numer. Anal. 34 (1997) 2306–2318 [CrossRef] [MathSciNet] [Google Scholar]
  9. R. Sanders, On the convergence of monotone finite difference schemes with variable spatial differencing. Math. Comput. 40 (1983) 91–106. [CrossRef] [MathSciNet] [Google Scholar]
  10. E. Tadmor, The large-time behavior of the scalar, genuinely nonlinear Lax-Friedrichs schemes. Math. Comput. 43 (1984) 353–368. [CrossRef] [Google Scholar]
  11. T. Tang and Z.-H. Teng, The sharpness of Kuznetsov's Formula -error estimate for monotone difference schemes. Math. Comput. 64 (1995) 581–589. [Google Scholar]
  12. T. Tang and Z.-H. Teng, Viscosity methods for piecewise smooth solutions to scalar conservation laws. Math. Comput. 66 (1997) 495–526. [CrossRef] [Google Scholar]

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