3.1 Table summary



HW

description



1

refinement study 1D for diffusion, successive errors, diffusion-advection



2

Using Von Nuemann analysis on Peaceman-Rachford ADI. Numerical solution for diffusion pde using ADI scheme on 2D grid. Discrete conservation, refinment study on grid centered in 2D. Numerical solution of FitzHugh-Nagumo equations. Different initial conditions.



3

refinement study 1D for advection, Lax-Wendroff, C-N for advection, TVD, periodic boundary conditions.



4

Solve wave equation using Lax-Wendroff as system, cell centered grid. Proof that TVD scheme is monotone preserving, Finite volume solution for first order advection ode using different numerical flux functions.