# Scientific Computing I - Winter 10

**Term**- Winter 10
**Lecturer**- Dr. rer. nat. Tobias Weinzierl
**Time and Place**- Thursday, 8:00-12:00; please see timetable
**Audience**- Computational Science and Engineering, 1st semester (Module IN2005)
**Tutorials**- -
**Exam**- written exam, February 25
**Semesterwochenstunden / ECTS Credits**- 2 SWS (2V) / 3 Credits
**TUMonline**- {{{tumonline}}}

## Contents

# Announcements

Please register for the repetition exam at TUMOnline

# Contents

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
- validation

*The course Scientific Computing 1 is intended for students in the Master's Program Computational Science and Engineering and of the English-language programs of the Department of Computer Science. Students in all other study programs, please consider our lecture Modellbildung und Simulation (see the lecture from summer term 2008, for example), instead.*

# Timetable, Lecture Notes, and Material

Due to the high number of interested students, we changed the location of the lecture to room 5123.EG.019 (Am Coulombwall 1, LMU Physics department), and we typically start at 8:30. However, as the room is not available on November 4, both, starting time and lecture duration differ on this very day.

- October 28: First lecture (start 8:15; lecture room MI 02.07.023)
- November 4: Shorter lecture (start 8:00; lecture room 5123.EG.019; only till 10:00)
- November 11: Lecture (start 8:30; lecture room 5123.EG.019)
- November 25: Lecture (start 8:30; lecture room 5123.EG.019)
- December 9: Lecture (start 8:30; lecture room 5123.EG.019)
- January 13: Lecture (start 8:30; lecture room 5123.EG.019)
- January 20: No lecture

# Exams

## Finals

- Date of final exam: February 25, 2011 (see TUMOnline)
- Registration: Please register via TUMOnline (see TUMOnline)
- Room: MW 1050
- 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: March 17, 2011. 2pm-4pm, Room 02.05.041.

## Repetition

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 end of the summer term. It will be a written exam, and is 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.

## Repetition

- If you wanna take part in the repetition exam, you have register at TUMOnline at the begin of the summer term.
- After the deadline of the registration, you'll be informed whether the repetition is oral or written.
- The repetition exam will take place at the end of the summer term, i.e. at the same period when the regular summer term exams take place.

# Literature

## 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)

## Online Material

- 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)