Scientific Computing Lab - Winter 08
- Term
- Winter 08
- Lecturer
- Dr. rer. nat. Miriam Mehl,
Tobias Weinzierl,
Csaba Attila Vigh - Time and Place
- Wednesday, 9:00-11:00, MI 02.07.023
- Audience
- Students of Computational Science and Engineering (Master, Module IN2182), compulsory course, first semester
- Tutorials
- -
- Exam
- t.b.a.
- Semesterwochenstunden / ECTS Credits
- 6 SWS (6P) / 10 credits
- TUMonline
- {{{tumonline}}}
Requirements
basics in linear algebra and differential calculus
Contents
The lab course gives an application oriented introduction to the following topics:
- explicit and implicit time stepping methods for ordinary differential equations
- numerical methods for stationary and instationary partial differential equations
- solvers for large, sparse systems of linear equations
- adaptivity and adaptively refined discretisation grids
- applications from fluid dynamics and heat transfer
Literature
- MATLAB® - The Language of Technical Computing. http://www.mathworks.com/products/matlab/
- Boyce, DiPrima. Elementary Differential Equations and Boundary Value Problems. Wiley, 1992.
- William L. Briggs, Van Emden Henson, Steve F. McCormick. A Multigrid Tutorial. Second Edition. SIAM. 2000.
- Michael Hanke. Short Introduction to COMSOL Multiphysics. http://www.nada.kth.se/kurser/kth/2D1266/femlabcrash.pdf
Lectures and Lecture Notes
| date | subjects |
| Introduction to Matlab | |
| October 22nd | Organisation ODE -Explicit Discretisation |
| November 5th | ODE - Implicit Discretisation |
| November 19th | Stationaray PDEs |
| December 3rd | Instationary PDEs |
| December 17th | Solvers for Large Sparse SLEs |
| January 14th | Adaptive Grids COMSOL |
| January 28th | Presentation of Results (see below) |
Worksheets
due to: send your matlab-files per email to Tobias Weinzierl
(weinzier(at)in.tum.de) and Csaba Vigh (vigh(at)in.tum.de)
personal presentation: slots announced at room 02.05.040
| Worksheet | matlab | due to | personal presentation |
| Worksheet 1 | 03.11.2008, 6 pm | 04.11.2008 | |
| Worksheet 2 | 17.11.2008, 6 pm | 18.11.2008 | |
| Worksheet 3 | 01.12.2008, 6 pm | 02.12.2008 | |
| Worksheet 4 | 15.12.2008, 6 pm | 16.12.2008 | |
| Worksheet 5 | onedim.m (main program) multigrid_1d.m |
12.01.2009, 6 pm | 13.01.2009 |
| Worksheet 6 | 26.01.2009, 6 pm | 27.01.2009 |