Superconvergence of monotone difference schemes for piecewise smooth solutions of convex conservation laws
TANG, Tao ; TENG, Zhen-huan
Hokkaido Math. J., Tome 36 (2007) no. 4, p. 849-874 / Harvested from Project Euclid
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In this paper we show that the monotone difference methods with smooth numerical fluxes possess superconvergence property when applied to strictly convex conservation laws with piecewise smooth solutions. More precisely, it is shown that not only the approximation solution converges to the entropy solution, its central difference also converges to the derivative of the entropy solution away from the shocks.
Publié le : 2007-11-15
Classification:  superconvergence,  finite difference,  conservation laws,  monotone scheme,  35L65,  49M25 
@article{1272848037,
     author = {TANG, Tao and TENG, Zhen-huan},
     title = {Superconvergence of monotone difference schemes for piecewise smooth solutions of convex conservation laws},
     journal = {Hokkaido Math. J.},
     volume = {36},
     number = {4},
     year = {2007},
     pages = { 849-874},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1272848037}
}

TANG, Tao; TENG, Zhen-huan. Superconvergence of monotone difference schemes for piecewise smooth solutions of convex conservation laws. Hokkaido Math. J., Tome 36 (2007) no. 4, pp.  849-874. http://gdmltest.u-ga.fr/item/1272848037/