Numerical Methods For Differential Equations
Period: First semester
Course unit contents: Introduction, Krylov subspace methods for large and sparse linear systems.
Numerical methods for ODEs. Implicit and explicit methods, multistep methods, Runge-Kutta methods.
Numerical methods for Elliptic/parabolic problems: Finite element and finite difference methods, coupled problems and solution strategies.
Numerical project implementing a finite element/finite difference method in a computer for solving a transient 2D partial differential equation.
Planned learning activities and teaching methods: During the course, the students will have to carry on three numerical projects on different subjects for the implementation of the algorithms discussed and their interpretation in the light of the theory.