The focus of the 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 (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. This course provides scientific training in Computational Science, and in addition, the scientific exchange of the participants among themselves. It is organized by HLRS, IAG, and Uni. Kassel.
The guest lecture on Day 2 (slides) is offered in collaboration with HiDALGO, the EU Centre of Excellence for Global Challenges. The method exposed is used in the HiDALGO Social Network Pilot. See also this HiDALGO news.
Online course Organizer: HLRS, University of Stuttgart, Germany
Mar 08, 2021
Mar 10, 2021
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08:30 - 09:00 on every day: drop in to Zoom
09:00 - 10:00 Introduction, Basics and Practicals (Lecture + Practicals) 10:00 - 11:00 Consistency and Convergence (Lecture) 11:00 - 11:30 Break 11:30 - 12:15 Jacobi Method (Lecture) 12:15 - 13:00 Practicals 13:00 - 14:00 Lunch 14:00 - 14:30 Gauß-Seidel Method (Lecture) 14:30 - 15:00 Practicals 15:00 - 15:15 Q+A
09:00 - 10:00 Relaxation Schemes (Lecture) 10:00 - 10:45 Practicals 10:45 - 11:00 Break 11:00 - 11:30 Method of Steepest Descent (Lecture) 11:30 - 12:00 Practicals 12:00 - 13:00 Lunch 13:00 - 14:00 Method of Conjugate Gradients (Lecture) 14:00 - 14:45 Practicals 14:45 - 15:00 Q+A 15:00 - 15:15 Break 15:15 - 16:00 Guest Lecture by Robert Elsässer (PLUS, Salzburg): slides.
09:00 - 10:00 Introduction to Multigrid Methods (Lecture) 10:00 - 10:30 Practicals 10:30 - 10:45 Break 10:45 - 11:45 GMRES and BICG (Lecture) 11:45 - 12:15 Practicals 12:15 - 13:15 Lunch 13:15 - 13:45 Variants of BICG (Lecture) 13:45 - 14:15 Practicals 14:15 - 15:15 Preconditioning 15:15 - 15:30 Q+A
Guest Lecture by Robert Elsässer (PLUS, Salzburg): Spectral methods to compute "eigenvalue histograms" (estimates of eigenvalue frequencies) for graph Laplacians and other LA apps that rely on iterative solvers (e.g in PETCs): slides.
Basics of linear algebra MATLAB or GNU Octave
Learn more about course curricula and content levels.
Prof. Dr. Andreas Meister from Uni. Kassel
Prof. Robert Elsässer from Paris Lodron Universität Salzburg
The course language is English.
via online registration form
Students without Diploma/Master: 30 EUR Students with Diploma/Master (PhD students) at German universities: 60 EUR Members of German universities and public research institutes: 60 EUR Members of universities and public research institutes within EU or PRACE member countries: 120 EUR. Members of other universities and public research institutes: 240 EUR Others: 600 EUR
HLRS is part of the Gauss Centre for Supercomputing (GCS), which is one of the six PRACE Advanced Training Centres (PATCs) that started in Feb. 2012. HLRS is also member of the Baden-Württemberg initiative bwHPC-C5. This course is provided within the framework of the bwHPC-C5 user support. This course is not part of the PATC curriculum and is not sponsored by the PATC program.
Rolf Rabenseifner phone 0711 685 65530, rabenseifner(at)hlrs.de Lucienne Dettki phone 0711 685 63894, dettki(at)hlrs.de
https://www.hlrs.de/training/ and https://www.hlrs.de/training/overview/
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High-Performance Computing Center Stuttgart
Nobelstraße 19, 70569 Stuttgart, Germany
+49 711 685-87269
A member of the Gauss Centre for Supercomputing, HLRS is one of three German national centers for high-performance computing.
HLRS is a central unit of the University of Stuttgart.