Topics
- Linear multistep methods for solving ordinary differential equations, the initial value problem
- Linear stability analysis and stiffness
- Runge-Kutta methods
- Numerical solution of ordinary differential equations: Two-point boundary value problem
- Conservation law and the transport equations
- Linear finite difference methods for partial differential equations (PDE)
- Flux-limiter methods
- Strang splitting technique
- Von Neumann stability analysis
- Numerical methods for the Burgers’ equation, a nonlinear equation