Conditional symmetries and Riemann invariants for hyperbolic systems of PDEs
β Scribed by Grundland, A M; Huard, B
- Book ID
- 120063215
- Publisher
- IOP Publishing
- Year
- 2007
- Tongue
- English
- Weight
- 390 KB
- Volume
- 40
- Category
- Article
- ISSN
- 1751-8113
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π SIMILAR VOLUMES
## Abstract We introduce a set of conserved quantities of energyβtype for a strictly hyperbolic system of two coupled wave equations in one space dimension. The system is subject to mechanical boundary conditions. Some of these invariants are asymmetric in the sense that their defining quadratic fo
A simple approximate Riemann solver for hyperbolic systems of conservation laws is developed for its use in Godunov schemes. The solver is based on characteristic formulations and is illustrated through Euler and ideal magnetohydrodynamical (MHD) equations. The procedure of a high-order Godunov sche