Numerical Methods for Partial Differential Equations
Time: Wednesday 2-4 pm, Friday 2-4 pm
Place: URZ, SR 215 (INF 293)
- Please subscribe to the tutorials via müsli.
- Theory of partial differential equations (PDE) as needed for understanding the numerics: type classification and properties of solutions
- Difference methods: consistency, stability (maximum principle), a priori error analysis
- (Galerkin) finite element methods (FEM) for elliptic PDE (Poisson equation): construction, a priori and a posteriori error analysis, mesh adaptation
- Algebraic solution methods: fixed point iterations, Krylov subspace methods, multigrid solvers
- Methods for parabolic PDE (heat equation)
- Methods for hyperbolic PDE (wave equation)
Basic Lectures on Analysis and Linear Algebra, Introduction to Numerical Mathematics, Numerical Methods for Ordinary Differential Equations;
Knowledge on Functional Analysis and Partial Differential Equations is helpful but not required, as the necessary background is provided in the lecture.
Target audience: Students of mathematics, scientific computing, physics and computer science with numerics as special/major subject
Remarks: For a specialization in numerical mathematics towards a master thesis, participation in corresponding seminars and software courses is required in addition.