Iterative Solvers for Linear Systems
The focus of this on-site course is on modern iterative solvers for large linear systems of equations. Thereby, beside classical schemes and fundamentals of multigrid techniques different modern Krylov subspace methods as well as highly efficient preconditioning techniques are presented in the context of real life applications
Praktische info:
Inschrijven?
- Voorwaarden: Basics of linear algebra & basic knowledge of MATLAB or GNU Octave
- Prijs: The price ranges from €0 to €505
Leertraject
Beside classical schemes and fundamentals of multigrid techniques different modern Krylov subspace methods (CG, GMRES, BiCGSTAB ...) as well as highly efficient preconditioning techniques are presented in the context of real life applications. Hands-on sessions (MATLAB and GNU Octave respectively) will allow users to immediately test and understand the basic constructs of iterative solvers.
Learning outcomes
Topics covered include:
- Consistency and Convergence
- Jacobi Method
- Gauß-Seidel Method
- Relaxation Schemes
- Method of Steepest Descent
- Method of Conjugate Gradients
- Introduction to Multigrid Methods
- GMRES and BICG
- Variants of BICG
- Preconditioning
Hands-On Sessions
Participants are expected to use their own laptops or institute clusters. There are no PCs installed in the LRZ course room.
A recent version of MATLAB or GNU OCTAVE (available for free) should be installed.
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