406-0663-AAL Numerical Methods for CSE
Semester | Spring Semester 2015 |
Lecturers | P. Arbenz |
Periodicity | every semester recurring course |
Language of instruction | English |
Comment | Enrolment only for MSc students who need this course as additional requirement. |
Courses
Number | Title | Hours | Lecturers | |
---|---|---|---|---|
406-0663-AA R | Numerical Methods for CSE Self-study course. No presence required. | 210s hrs | P. Arbenz |
Catalogue data
Abstract | Introduction into fundamental techniques and algorithms of numerical mathematics which play a central role in numerical simulations in science and technology. |
Objective | * Knowledge of the fundamental algorithms in numerical mathematics * Knowledge of the essential terms in numerical mathematics and the techniques used for the analysis of numerical algorithms * Ability to choose the appropriate numerical method for concrete problems * Ability to interpret numerical results * Ability to implement numerical algorithms afficiently |
Content | 1. Direct Methods for linear systems of equations 2. Interpolation 3. Iterative Methods for non-linear systems of equations 4. Krylov methods for linear systems of equations 5. Eigensolvers 6. Least Squares Techniques 7. Filtering Algorithms 8. Approximation of Functions 9. Numerical Quadrature 10. Clustering Techniques 11. Single Step Methods for ODEs 12. Stiff Integrators 13. Structure Preserving Integrators |
Literature | W. Dahmen, A. Reusken "Numerik für Ingenieure und Naturwissenschaftler", Springer 2006. M. Hanke-Bourgeois "Grundlagen der Numerischen Mathematik und des wissenschaftlichen Rechnens", BG Teubner, 2002 C. Moler, Numerical computing with MATLAB, SIAM, 2004 P. Deuflhard and A. Hohmann, "Numerische Mathematik I", DeGruyter, 2002 |
Prerequisites / Notice | A course covering the material is taught in German every autumn term (course unit 401-0663-00L). Exercises and examination are available in English. |
Performance assessment
Performance assessment information (valid until the course unit is held again) | |
Performance assessment as a semester course | |
ECTS credits | 7 credits |
Examiners | P. Arbenz |
Type | session examination |
Language of examination | English |
Repetition | The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit. |
Mode of examination | written 180 minutes |
Additional information on mode of examination | Written computer exam |
Written aids | Documents will be available electronically during the exam. No further aids. |
This information can be updated until the beginning of the semester; information on the examination timetable is binding. |
Learning materials
No public learning materials available. | |
Only public learning materials are listed. |
Groups
No information on groups available. |
Restrictions
There are no additional restrictions for the registration. |
Offered in
Programme | Section | Type | |
---|---|---|---|
Physics Master | Course Units for Additional Admission Requirements | E- | |
Computational Science and Engineering Master | Course Units for Additional Admission Requirements | E- |