Movies
The following video lectures are available for this chapter.
- C.1.a) Overview of PDEs in Computational Astrophysics
- C.1.b) Finite Difference Approximations, Part I
- C.2.a) Finite Difference Approximations, Part II
- C.2.b) Scalar Advection
- C.2.c) Linear Hyperbolic PDEs, Part I
- C.3.a) Linear Hyperbolic PDEs, Part II
- C.3.b) Non-Linear Scalar Conservation Laws, Part I
- C.3.c) Non-Linear Scalar Conservation Laws, Part II
- C.4.a) Riemann Solvers for Hydro & MHD; Linearized Riemann Solver for Hydro
- C.4.b) Riemann Solvers for Hydro & MHD; HLL, HLLC, HLLI
- C.4.c) Riemann Solvers for Hydro & MHD; MHD Case -- HLLD, HLLI
- C.5.a) Multid Schemes for Conservation Laws; Spatial Reconstruction
- C.5.b) Multid Schemes for Conservation Laws; Runge-Kutta & Predictor-Corrector Timestepping
- C.5.c) Multid Schemes for Conservation Laws; ADER Timestepping
- C.6.a) Multid Schemes for MHD; Divergence-free Reconstruction
- C.6.b) Multid Schemes for MHD; Multid Riemann Solvers, Part I
- C.6.c) Multid Schemes for MHD; Multid Riemann Solvers, Part II