MTL793
| MTL793 | |
|---|---|
| Numerical Methods for Hyperbolic pDEs | |
| Credits | 3 |
| Structure | 3-0-0 |
| Pre-requisites | |
| Overlaps | |
MTL793 : Numerical Methods for Hyperbolic pDEs
[edit]Scalar conservation laws: Method of characteristics, Shocks, Rarefactions, weak and entropy solutions, existence and uniqueness results, Finite volume schemes, Riemann solvers, Convergence of first order schemes. Higher-order schemes: Lax-Wendroff, TVD schemes, Limiters, ENO schemes, Higher order Runge-Kutta methods. Linear systems: Exact solutions, First- and higher-order finite volume schemes. Non-linear Systems: Solutions of Riemann problems, First-Order finite volume schemes for systems. Higher-order schemes for systems: TVD Limiters. Finite-volume schemes on unstructured meshes. Hyperbolic systems with source term.