Introduction - If you have any usage issues, please Google them yourself
Finite difference methods:
Spatial discretization (3)
Temporal discretization (2)
Convergence, Consistency, Stability (2)
Solution of PDEs require spatial and temporal discretization
Typically, the spatially-discretized domain is called the grid
The PDE (originally on a continuous domain) is solved on a discrete set of grid points
Typically, the PDE is reduced to a set of algebraic equations (that might or might not involve matrix inversion)
Types of grids:
Structured grid
Unstructured grid
Hybrid grids