# Numerical Programming I - Winter 09

Term
Winter 09
Lecturer
Univ.-Prof. Dr. Hans-Joachim Bungartz
Time and Place
Lecture: Tuesday 9:00 - 10:30, lecture room 02.07.023; Thursday 12:00 - 13:30, lecture room 02.07.023
Tutorial: Monday, 14:15 - 15:45, lecture room 02.07.023
Audience
Computational Science and Engineering, 1st semester (module IN2156)
Tutorials
Stefanie Schraufstetter
Exam
February 5th at 14:15 in the lecture room MW 2050 (mechanical engineering building).
Semesterwochenstunden / ECTS Credits
6 SWS (4V + 2Ü) / 8 Credits
TUMonline
{{{tumonline}}}

--

# Contents

This course provides an overview of numerical algorithms. Topics are:

• Floating point arithmetics
• Solving Linear systems
• Interpolation
• Eigenvalue problems
• Basics of iterative methods
• Basics of numerical methods for ordinary differential equations

The course will start with a short revision of mathematical foundations for numerical algorithms.

# Tutorial

Here are the sheets for the tutorial:

Organization:

The sheets will be available one week before being discussed in the tutorial. Some of the exercises are marked with a black triangle. It is recommended to prepare and to solve at least these problems either on your own or within a small group in the week before because these problems will be discussed in the tutorial only very shortly. After the tutorial, a solution of all problems will be available.

In the first weeks, the "Foundations of Numerics from Advanced Mathematics" will be repeated. If you are already familiar with all the contents of this chapter and if you can solve the exercise sheets 1-5 quickly on your own, it is not necessary to attend the course during the first weeks. But, since usually everybody learns some new (or forgotten ;-)) facts, we advise to join at least the lecture.

Beginning with sheet 6, there will also be programming assignments, that are marked with a 'P', on the sheet. Solve these problems with MATLAB on your own or in a small group. A solution will be demonstrated and discussed in the tutorial and available on the webpage. It is highly recommended to do these programming assignments, since they are also relevant for the exam!

# Exam

The results of the exam are available now via TUMonline. The exam review will be on Monday, April 19th, 2010, 17:00-17:30 in the room 02.05.060. There will not be a possibility for individual appointments for review except for students that have to do the repeat exam.

The repeat exam will also take place on April 19th, 2010 (in the afternoon). For the repeat exam, you have to register again via TUMonline.

# Literature

• Stoer, Bulirsch: Numerische Mathematik, Springer-Verlag, part 1 (8. edition 1999) and part 2 (4. edition 2000)
• Stoer, Bulirsch: Introduction to Numerical Analysis, Springer, 3. edition 2002
• Dahlquist, Björck: Numerical Methods in Scientific Computing: Volume 1 & 2, SIAM 2008, extracts of part 1, part 2
• Press, Flannery, Teukolsky, Vetterling: Numerical Recipes, Cambridge University Press
• Golub, Ortega: Scientific Computing: An Introduction with Parallel Computing, Academic Press, 1993

How to get ebooks?