Course Syllabus for

Computational Linear Algebra
Numerisk linjär algebra

FMN005F, 7.5 credits

Valid from: Autumn 2013
Decided by: FN1/Anders Gustafsson
Date of establishment: 2014-05-13

General Information

Division: Numerical Analysis
Course type: Third-cycle course
Teaching language: English


The aim of the course is to teach the student theoretical and algorithmical aspects of modern iterative methods in computational linear algebra. This knowledge is important for all computationally intensive disciplines, e.g. fluid dynamics, image analysis, meteorolgy, automatic control etc. Furthermore, the aim is to confront the student with modern research questions in numerical linear algebra and their interrelation with numerics of partial differential equations in engineering and mathematical sciences.


Knowledge and Understanding

For a passing grade the doctoral student must have demonstrated substantially improved and more useful knowledge of numerical linear algebra than students who only have completed a regular basic course in scientific computing.

Competences and Skills

For a passing grade the doctoral student must

Judgement and Approach

For a passing grade the doctoral student must be able to judge and discuss different numerical methods within linear algebra

Course Contents

The course focuses on iterative methods for large scale, sparse linear problems. These problems occur mostly when discretizing partial differential equations in engineering sciences, physics and mathematics.

Course Literature

Saad, Y.: Iterative Methods for Sparse Linear Systems. SIAM, 2003.

Instruction Details

Types of instruction: Seminars, project

Examination Details

Examination formats: Seminars given by participants, miscellaneous. Talks, numerical experiments
Grading scale: Failed, pass

Admission Details

Assumed prior knowledge: Numerical Analysis courses as required for engineering programs F,Pi,E,D or mathematics/pysics master's program. Programming capabilities in at least one of the languages MATLAB/Python/C/C++/Fortran

Course Occasion Information

Contact and Other Information

Course coordinators:

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