Computational Linear Algebra
Numerisk linjär algebra

FMN005F, 7.5 högskolepoäng

Gäller från och med: Autumn 2013
Beslutad av: FN1/Anders Gustafsson
Datum för fastställande: 2014-05-13

Allmänna uppgifter

Avdelning: Numerical Analysis
Kurstyp: Ren forskarutbildningskurs
Undervisningsspråk: English

Syfte

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.

Mål

Kunskap och förståelse

För godkänd kurs skall doktoranden 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.

Färdighet och förmåga

För godkänd kurs skall doktoranden

• 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.

Värderingsförmåga och förhållningssätt

För godkänd kurs skall doktoranden be able to judge and discuss different numerical methods within linear algebra

Kursinnehåll

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.

Kurslitteratur

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

Kursens undervisningsformer

Undervisningsformer: Seminarier, projekt

Kursens examination

Examinationsformer: Seminarieföredrag av deltagarna, övrigt. Talks, numerical experiments
Betygsskala: Underkänd, godkänd
Examinator:

Antagningsuppgifter

Förutsatta förkunskaper: 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

Kurstillfällesinformation

Kontaktinformation och övrigt

Kursansvariga: