# Scientific Computing I - Winter 16

Revision as of 11:37, 3 June 2016 by Seckler (talk | contribs) (Created page with "{{Lecture | term = Winter 16 | lecturer = Prof. Dr. Michael Bader | timeplace = <!--Wednesday, 10:15-11:45; HS 2 (starts Oct 21)--> | credits = 4 SWS (2V+2Ü) / 5 Credits ...")

**Term**- Winter 16
**Lecturer**- Prof. Dr. Michael Bader
**Time and Place****Audience**- Computational Science and Engineering, 1st semester
**Tutorials**- Denis Jarema, Steffen Seckler

time and place: **Exam****Semesterwochenstunden / ECTS Credits**- 4 SWS (2V+2Ü) / 5 Credits
**TUMonline**- tba

## Contents

# Announcements

# Contents

The lecture will cover the following topics in scientific computing:

- typical tasks in the simulation pipeline in scientific computing;
- classification of mathematical models (discrete/continuous, deterministic/stochastic, etc.);
- modelling with (systems) of ordinary differential equations (example: population models);
- modelling with partial differential equations (example: heat equations);
- numerical treatment of models (discretisation of ordinary and partial differential equations: introduction to Finite Volume and Finite Element Methods, grid generation, assembly of the respective large systems of linear equations);
- analysis of the resulting numerical schemes (w.r.t. convergence, consistency, stability, efficiency);

An outlook will be given on the following topics:

- efficient implementation of numerical algorithms, both on monoprocessors and parallel computers (architectural features, parallel programming, load distribution, parallel numerical algorithms)
- interpretation of numerical results (visualization)

# Lecture Notes and Material

# Exams

### 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
- exam winter 11/12
- exam winter repeat 11/12
- exam winter 12/13
- exam winter 13/14
- exam winter repeat 13/14
- exam winter 14/15
- exam winter repeat 14/15

# Literature

## Books and Papers

- A.B. Shiflet and G.W. Shiflet: Introduction to Computational Science, Princeton University Press (in particular Chapter 3,5,6)
- G. Strang: Computational Science and Engineering, Wellesley-Cambridge Press, 2007
- G. Golub and J. M. Ortega: Scientific Computing and Differential Equations, Academic Press (in particular Chapter 1-4,8)
- Tveito, Winther: Introduction to Partial Differential Equations - A Computational Approach, Springer, 1998 (in particular Chapter 1-4,7,10)
- A. Tveito, H.P. Langtangen, B. Frederik Nielsen und X. Cai: Elements of Scientific Computing, Texts in Computational Science and Engineering 7, Springer, 2010 (available as ebook)
- B. DiPrima: Elementary Differential Equations and Boundary Value Problems, Wiley, 1992 (excellent online material)
- 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)

## Online Material

- 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)