Numerical Methods for Partial Differential Equations

This course is an introduction to numerical methods for the solution of partial differential equations, with application to applied sciences, engineering and biosciences. The course recalls the theoretical basis of the Finite Element Method (FEM) for the solution of elliptic and parabolic equations, an introduction to stabilization techniques for convection-dominated problems and the FEM for compressible flow problems, and for wave problems. The course will include frontal lectures and exercises, as well as computer sessions aimed at introducing the bases of the programming of the numerical methods.

Course guide