HLRS High Performance Computing Center Stuttgart: Iterative Solvers for Linear Systems

Prerequisites

Basics of linear algebra
Basic knowledge of MATLAB or GNU Octave

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

Instructor

Prof. Dr. Andreas Meister from Uni. Kassel (Institute of Mathematitcs)

Exercises

On-site participants will be provided with prepared laptops

You may bring your own device for taking notes.

Online participants are expected to use their own machines or institute clusters

For the iterative solvers exercises of the course, a recent version of MATLAB or GNU OCTAVE (available for free) should be installed.
Please make sure to have a functioning working environment / access to an HPC cluster prior to the start of the course.

Handout

Each participant will get a pdf of the slides.

HLRS concept for on-site courses

Besides the content of the training itself, an important aspect of this event is the scientific exchange among the participants. We try to facilitate such communication by

a social event on the evening of the first course day,
offering common coffee and lunch breaks and
working together in groups of two during the exercises. Laptops wil be provided.

This course will be hybrid, i.e. it will take place at HLRS on-site but it will also be possible to attend online. Participants, online as well as on-site, have to be aware and agree that they might appear in the live video stream taken by a camera in the back of the lecture room or by a webcam on laptops. The live stream will not be saved. We strongly recommend to attend this course on-site since on-site attendance is much more effective and efficient in our experience. Therefore we might give priority to on-site over online participants during registration.

Registration

Registration is coming soon.

Fees

0 Euro: Employees of the HLRS, or the Jülich Supercomputing Centre (JSC), or the Leibniz Supercomputing Centre (LRZ)
30 Euro: Students without master’s degree or equivalent
55 Euro: PhD students or employees at a German university or public research institute
110 Euro: PhD students or employees at a university or public research institute in an EU, EU-associated or PRACE country other than Germany
215 Euro: PhD students or employees at a university or public research institute outside of EU, EU-associated or PRACE countries
505 Euro: Other participants, e.g., from industry, other public service providers, or government

Link to the EU and EU-associated (Horizon Europe), and PRACE countries.

Our course fees include coffee breaks (in classroom courses only).

Contact

Lucienne Dettki, phone 0711 685 63894, training(at)hlrs.de

Lunch breaks

We plan to have lunch in the unversity's canteen (Mensa Stuttgart-Vaihingen, have a look at their menu online, paying by card only). Two other near possibilities for lunch are on all days:

A food truck from 11:00-14:00 in Allmandring 35, approximately 300 m from HLRS,
Bakery Sehne, near bus stop "Im Lauchhau", approximately 400 m from HLRS.

We will update this information if opening times etc. change and inform you more precisely before the course starts.

Further courses and training team

See the training overview and the Supercomputing Academy pages.
See also information about the HLRS training department and staff.

HLRS Training Collaborations in HPC and AI

HLRS is part of the Gauss Centre for Supercomputing (GCS), together with JSC in Jülich and LRZ in Garching near Munich. SIDE is the German National Competence Centre (NCC) for High-Performance Computing. HLRS is also a member of the Baden-Württemberg initiative bwHPC.
Since 2025, HLRS has been coordinating one of the AI Factories of the EuroHPC JU: HammerHAI.

Iterative Solvers for Linear Systems

Location