Convergence Rates for Relaxation Schemes Approximating Conservation Laws
β Scribed by Liu, Hailiang; Warnecke, Gerald
- Book ID
- 118187619
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2000
- Tongue
- English
- Weight
- 239 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0036-1429
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π SIMILAR VOLUMES
We study the Cauchy problem for 2 X 2 semilinear and quasilinear hyperbolic systems with a singular relaxation term. Special comparison and compactness properties are established by assuming the subcharacteristic condition. Therefore we can prove the convergence to equilibrium of the solutions of th
We derive a first-order rate of L 1 -convergence for stiff relaxation approximations to its equilibrium solutions, i.e., piecewise smooth entropy solutions with finitely many discontinuities for scalar, convex conservation laws. The piecewise smooth solutions include initial central rarefaction wave