Physique numérique

The goal of this course is to introduce the main concepts and challenges of quantum computing, a new set of technologies and techniques that promise to solve hard computational problems.

Statistical machine learning is a growing discipline at the intersection of computer science and applied mathematics (probability / statistics, optimization, etc.) and which increasingly plays an important role in many other scientific disciplines. 

Que ce soit pour la modélisation, l’acquisition ou l’analyse de donnée, l’informatique est devenu un outil indispensable pour tout scientifique. L’objectif principal de ce cours est d’apprendre à utiliser les techniques permettant de manipuler les données. 

Many physical phenomena are modeled at a macroscopic level by partial differential equations, in domains as diverse as fluid and solid mechanics,  electromagnetism, general relativity, quantum mechanics or astrophysics. These are mathematical expressions which impose a relation between partial derivatives of one or several multivariable functions. This course is meant as an introduction to numerical methods for the approximation of solutions to partial differential equations.

The numerical resolution of fluid dynamics equations is becoming increasingly important in many aspects of scientific research. In this course, we will develop and analyze the methods used to solve the partial differential equations relevant to fluid dynamics (elliptic, parabolic and hyperbolic).

The development of animals, starting from a single cell to produce a fully formed organism, is a fascinating process. Its study is currently advancing at a rapid pace thanks to combined experimental and theoretical progress, yet many fundamental questions remain to be answered.

This course will address the fundamental theoretical concepts underlying the self-organization of multicellular systems, from gene regulation to the mechanics of active biological materials. The course will be based on various concepts from theoretical physics: dynamical systems, soft and active matter, the mechanics of continuous media, numerical modeling, etc.