Scientific Computing I - Winter 11
- Winter 11
- Dr. rer. nat. habil. Miriam Mehl
- Time and Place
- Thursday, 10:00-12:00; Hörsaal im LMU Physik Werkstattgebäude Am Coulombwall 1 (Garching!)
- Computational Science and Engineering, 1st semester (Module IN2005)
- written exam
- Semesterwochenstunden / ECTS Credits
- 2 SWS (2V) / 3 Credits
Exam results are available at TUM Online. You can see your exams on Thursday, February 16 or March 1, 10-12 am, IAS (Lichtenbergstr. 2a), room 1.008. If you are a student in physics, please contact Dr. Miriam Mehl per email to get your results.
For comparison with your answers, you can download the solution of the exam here:
This course provides an overview of scientific computing, i. e. of the different tasks to be tackled on the way towards powerful numerical simulations. The entire "pipeline" of simulation is discussed:
- mathematical models: derivation, analysis, and classification
- numerical treatment of these models: discretization of (partial) differential systems, grid generation
- efficient implementation of numerical algorithms: implementation on monoprocessors vs. parallel computers (architectural features, parallel programming, load distribution, parallel numerical algorithms)
- interpretation of numerical results & visualization
Lecture Notes and Material
- Date of final exam: February 7, 2012, 16:45-18:15
- Registration: TUM-Online
- Room: MW 0350, Egbert-von-Hoyer-Hörsaal
- Helping material: One hand-written A4 sheet of paper, dictionary (if necessary)
- Exam topics are all topics covered during the lectures. See the catalogue of exam questions and previous years' exams below.
- Exam review: tba
The repetition exam is open to CSE students if and only if they registered for the original exam. Students from other fields might register (even though they didn't take part in the finals) if their exam regulations do allow this. Otherwise, the same procedure as for the CSE students applies.
The repetition exam will take place at the beginning of the summer term. It will be a written exam and announced in TUMOnline. You have to register at TUMOnline for the exam even if you've registered for the finals and did not pass.
Catalogue of Exam Questions
The following catalogue contain questions collected by students of the lectures in winter 05/06 and 06/07. The catalogue is intended for preparation for the exam, only, and serves as some orientation. It's by no means meant to be a complete collection.
Last Years' Exams
Please, be aware that there are always slight changes in topics between the different years' lectures. Hence, the previous exams are not fully representative for this year's exam.
- midterm exam winter 02/03, Solution
- final exam winter 02/03, Solution
- midterm exam winter 04/05, Solution
- final exam winter 04/05, Solution
- exam winter 05/06
- exam winter 06/07
- exam winter 07/08, solution
Books and Papers
- B. DiPrima: Elementary Differential Equations and Boundary Value Problems, Wiley, 1992 (excellent online material)
- A.B. Shiflet and G.W. Shiflet: Introduction to Computational Science, Princeton University Press (in particular Chapter 3,5,6)
- G. Golub and J. M. Ortega: Scientific Computing and Differential Equations, Academic Press (in particular Chapter 1-4,8)
- D. Braess: Finite Elements. Theory, Fast Solvers and Applications in Solid Mechanics, Cambridge University Press (in particular I.1, I.3, I.4, II.2)
- Tveito, Winther: Introduction to Partial Differential Equations - A Computational Approach, Springer, 1998 (in particular Chapter 1-4,7,10)
- Website for pre-2005 courses in Scientific Computing (more extensive - several of the topics have moved to other lectures, or are reduced in extent, now); website is accessible from the "Rechnerhalle" or with login/password (contact lecturer)
- Website for the book of A.B. Shiflet and G.W. Shiflet: Introduction to Computational Science
- Maple Computational Toolbox Files: contains an introduction worksheet to Maple plus several worksheets related to CSE, which are covered in this textbook.
- ODE Software for Matlab (website by J.C. Polking, Rice University)