Teaching

Teaching description and materials.

I taught two courses in the Master of Mathematics program at the University of Luxembourg, aimed to first year Master students.

Numerical Analysis
Winter 2022, Winter 2023
  • 1. Notion of error, floating-point arithmetic [Slides]
  • 2. Polynomial interpolation and approximation, least-squares [Slides]
  • 3. Numerical differentiation and integration [Slides]
  • 4. Numerical methods for ordinary differential equations [Slides]
  • 5. Solving linear systems: direct and iterative methods [Slides]
  • 6. Root-finding methods, nonlinear equations [Slides]
  • 7. Numerical analysis projects
Numerical Solutions of PDEs
Spring 2023
  • 1. Introduction to partial differential equations
  • 2. Variational formulation of elliptic problems
  • 3. Sobolev spaces, notion of weak solution
  • 4. The finite element method : theoretical aspects
  • 5. The finite element method : practical aspects and implementation
  • 6. Finite difference methods for parabolic problems
  • 7. Finite difference methods for hyperbolic problems