FMN005F

Discontinued

Computational Linear Algebra

7.5

Third-cycle course

7154 (Centre of Mathematical Sciences / Numerical Analysis)

 -05-13

FN1/Anders Gustafsson

English

If sufficient demand

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.

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.

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.

be able to implement algorithms for numerical linear algebra in a computer and use these in applications.
be able to present the content of the course book and selected research litterature in well structured and mathematically correct oral presentations.

be able to judge and discuss different numerical methods within linear algebra

Seminars

Project

Seminars given by participants

Miscellaneous

Talks, numerical experiments

Failed, pass

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

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

FMN005F

 -05-13

FN1/Anders Gustafsson