Solving partial differential equations and Evolutionary Diffusion Optimization (EDO) algorithms

By the end of this course, students will have learned the basics of solving partial differential equations using the finite difference method.

In this course, students will study
- Elliptic equations
Discretization and solution of the equation in 1D.  
Study of consistency, stability, and convergence in 1D.
- Parabolic equations 
 Discretization and solution, stability, consistency, and convergence. 
 Explicit, implicit, Richardson, and Crank-Nicolson schemes.
- Introduction to hyperbolic equations  
Presentation of a discretization and some of its properties.
Examples will be taken from the EEEA department (PN junction, electromagnetism, etc.).