Scientific Computing Lab - Winter 08
- Term
- WS 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)
- Tutorials
- -
- Exam
- -
- Semesterwochenstunden / ECTS Credits
- 6P /10 ECTS
- TUMonline
- {{{tumonline}}}
Classification
Module IN2182, Computational Science and Engineering (Master), compulsory course, 1st semester
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 |