Convergence rate of Glimm scheme for general systems of hyperbolic conservation laws
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 195-205 |
| Journal / Publication | Taiwanese Journal of Mathematics |
| Volume | 7 |
| Issue number | 2 |
| Publication status | Published - 2003 |
Link(s)
Abstract
In this paper, we consider the convergence rate of the deterministic Glimm scheme for general systems of hyperbolic conservation laws without assuming either genuine nonlinearity or linear degeneracy on the characteristic fields. It is shown that the convergence rate is o(1)s1/4|ln s| compared to o(1)s1/2|ln s| obtained in [3] for the case when the charateristic field is either genuinely nonlinear or linear degenerate. Here s is the mesh size in the time direction.
Research Area(s)
- Convergence rate, Deterministic Glimm scheme, General systems of conservation laws
Citation Format(s)
Convergence rate of Glimm scheme for general systems of hyperbolic conservation laws. / Yang, Tong.
In: Taiwanese Journal of Mathematics, Vol. 7, No. 2, 2003, p. 195-205.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
