This course is an introduction to numerical modeling, complemented with some refreshing on related mathematical notions. The first part will consist of a mix of exercises and targeted lectures. It will be concluded by an exam. In the second part, groups of two will work on numerical projects, which results will be presented during an oral defense.

The following topics will be addressed:

Introduction to numerical modeling

Sets and numbers

Linear systems and matrices

Diagonalization and applications

Functions of several variables, classical differential operators

Convex sets and functions, notions of optimization

Nonlinear equations and systems

Polynomial interpolation and numerical integration

Trigonometric interpolation, Fourier series and Fourier transform

Ordinary differential equations

**Langue du cours :** Anglais

This course is devoted to an introduction to numerical modeling and subsequent project work done in groups of two. The first part consists of several lectures and exercises. In the second part, groups of two, will work on numerical projects, which results will be presented in December.

Contents:

- Introduction to numerical modeling
- Classification of differential equations
- Numerical methods for ODEs
- Numerical methods for PDEs
- Solution of linear and nonlinear systems
- Project work in groups of two

**Langue du cours :** Anglais

- Teaching coordinator: Samuel Amstutz
- Teaching coordinator: Rémy Lapere
- Teaching coordinator: Thomas Wick