Scientific Computing Lab - Winter 10
- Term
- Winter 10
- Lecturer
- Dr. rer. nat. Tobias Weinzierl
- Time and Place
- Wed 8:30-10:00 am, MI 02.07.023
- Audience
- Students of Computational Science and Engineering (Master, Module IN2182), compulsory course, first semester
- Tutorials
- -
- Exam
- no final exam
- Semesterwochenstunden / ECTS Credits
- 6 SWS (6P) / 10 credits
- TUMonline
- {{{tumonline}}}
Announcements
The next supervised project works will be held on January 18 and 25 and give you a last chance for question on multigrid and the solution of the multigrid WS, respectively.
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
Worksheets, Material, and Lecture Notes
due to: send your matlab-files per email to Sarpkan Selcuk (selcuk(at)in.tum.de), Babak Gholami (gholami(at)in.tum.de) and Nima Shahriary (shahriar(at)in.tum.de).
personal presentation: subscribe for slot at room 02.05.058
The personal presentation will be held in room 02.05.033
| Worksheet | Lecture Notes | matlab | due to | personal presentation |
| Worksheet 1 | ODE explicit | 09.11.2009, 6:00 pm | 10.11.2009 | |
| Worksheet 2 | ODE implicit | 23.11.2009, 6:00 pm | 24.11.2009 | |
| Worksheet 3 | PDE stationary Results Worksheet2 |
07.12.2009, 6:00 pm | 08.12.2009 | |
| Worksheet 4 | PDE instationary Time Step Restrictions Results Worksheet 3 |
21.12.2009, 6:00 pm | 22.12.2009 | |
| Worksheet 5 | Solvers and Multigrid 1D Multigrid Example Results Worksheet 4 |
onedim.m(main program) multigrid_1D.m |
11.01.2010, 6:00 pm | 12.01.2010 |
| Worksheet 6 | Grid Adaptivity Introduction to COMSOL |
01.02.2010, 6:00 pm | 02.02.2010 |
| Matlab Introduction files |
| slides |
| exercisesDay1 |
| exercisesDay2 |
| sincplot.m |
| sinsinc.m |