The project electrons is a programming assignment of the course "Evolution problems" taught at the Ecole des Ponts Paristech by Virginie Galland Ehrlacher and Frederic Legoll.

This course aims at introducing students to the mathematical and numerical study of partial differential equations modeling the evolution across time of a quantity of interest. Evolution problems are presents in a myriad of domains, both in the industry of within academic research, in physics, chemistry, biology, finance ect

The goals of this programming assignment are:

1. To compute the strip diagram of a semiconductor material.
2. To compute the diffusion coefficients of electrons within the conduction band.

The movement of electrons within a semiconductor material can be described as an eigen-value problem. The mathematical aspect of this problem is studied in the first part of the code. The second part of it is dedicated to the implementation of the Finite Difference Method (FEM).

To check the project, you will need anaconda.

Simply run the jupyter notebook !

16,5/20

Virginie Galland Ehrlacher

Frederic Legoll

MIT