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 LRZ in cooperation with Uni. Kassel and HLRS.
Online course Organizer: Leibniz Supercomputing Centre of the Bavarian Academy of Sciences and Humanities (LRZ), D-85748 Garching near Munich, Germany
Sep 05, 2023 09:00
Sep 07, 2023 15:30
Online by LRZ
English
Basic
Domain-Specific Courses
Numerical Methods
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(preliminary)
08:30 - 09:00 on every day: drop in to Zoom
Day 1:
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
Day 2:
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
Day 3:
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
Basics of linear algebra Basic knowledge of MATLAB or GNU Octave
Community: 14 hours 45 minutes
Learn more about course curricula and content levels.
Participants are expected to use their own machines or institute clusters.
A recent version of MATLAB or GNU OCTAVE (available for free) should be installed.
Prof. Dr. Andreas Meister from Uni. Kassel
The course language is English.
Further information about this course at LRZ, see here.
Registration and further courses via online registration form at LRZ.
Registration is open until August 29, 2023.
https://www.hlrs.de/training/2023/ITER-LRZ and at LRZ: https://app1.edoobox.com/en/LRZ/Online%20Courses/Course.ed.2dfde6c71384_7591599370
At HLRS: https://www.hlrs.de/training/ and https://www.hlrs.de/training/overview/
At LRZ: https://app1.edoobox.com/en/LRZ/
February 17 - 21, 2025
Stuttgart, Germany
