BV estimates of Lax-Friedrichs' scheme for a class of nonlinear hyperbolic conservation laws
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
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Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1257-1266 |
| Journal / Publication | Proceedings of the American Mathematical Society |
| Volume | 131 |
| Issue number | 4 |
| Publication status | Published - Apr 2003 |
Link(s)
Abstract
We give uniform BV estimates and L1-stability of Lax-Friedrichs' scheme for a class of n × n systems of strictly hyperbolic conservation laws whose integral curves of the eigenvector fields are straight lines, i.e., Temple class, under the assumption of small total variation. This implies that the approximate solutions generated via the Lax-Friedrichs' scheme converge to the solution given by the method of vanishing viscosity or the Godunov scheme, and then the Glimm scheme or the wave front tracking method.
Research Area(s)
- BV estimates, Hyperbolic systems of conservation laws, Lax-Friedrichs' scheme
Citation Format(s)
BV estimates of Lax-Friedrichs' scheme for a class of nonlinear hyperbolic conservation laws. / YANG, Tong; ZHAO, Huijiang; ZHU, Changjiang.
In: Proceedings of the American Mathematical Society, Vol. 131, No. 4, 04.2003, p. 1257-1266.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
