MATH-451: Numerical approximation of PDEsThe course is about the derivation, theoretical analysis and implementation of the finite element method for the numerical approximation of partial differential equations in one and two space dimens
MATH-514: Nonlinear Schrödinger equationsThis course is an introduction to nonlinear Schrödinger equations (NLS) and, more generally, to nonlinear dispersive equations. We will discuss local and global well-posedness, conservation laws, the
CS-457: Geometric computingThis course will cover mathematical concepts and efficient numerical methods for geometric computing. We will explore the beauty of geometry and develop algorithms to simulate and optimize 2D and 3D g
CIVIL-515: Flood and dam break wavesLe cours offre des méthodes de calcul hydraulique pour des problèmes d'écoulements non permanents tels que les crues, les vagues, et les ruptures de barrage. L'accent est mis sur la compréhension phys
CS-439: Optimization for machine learningThis course teaches an overview of modern optimization methods, for applications in machine learning and data science. In particular, scalability of algorithms to large datasets will be discussed in t
MSE-369: Finite element theory and practiceL'objectif du cours est de comprendre la méthode des éléments finis i.e. les formulations variationnelles faibles et fortes et les schémas de résolution en espace et en temps. La seconde partie du sem
ME-474: Numerical flow simulationThis course provides practical experience in the numerical simulation of fluid flows. Numerical methods are presented in the framework of the finite volume method. A simple solver is developed with Ma
MATH-432: Probability theoryThe course is based on Durrett's text book
Probability: Theory and Examples.
It takes the measure theory approach to probability theory, wherein expectations are simply abstract integrals.