Numerical Programming I - Winter 08: Difference between revisions

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* [http://www5.in.tum.de/lehre/vorlesungen/num_prog_cse/ws08/tutorial/exercise_01.pdf Exercise 1:] Mathematical Essentials  ([http://www5.in.tum.de/lehre/vorlesungen/num_prog_cse/ws08/tutorial/solution_01.pdf solution])
* [http://www5.in.tum.de/lehre/vorlesungen/num_prog_cse/ws08/tutorial/exercise_01.pdf Exercise 1:] Mathematical Essentials  ([http://www5.in.tum.de/lehre/vorlesungen/num_prog_cse/ws08/tutorial/solution_01.pdf solution])
* [http://www5.in.tum.de/lehre/vorlesungen/num_prog_cse/ws08/tutorial/exercise_02.pdf Exercise 2:] Linear Algebra ([http://www5.in.tum.de/lehre/vorlesungen/num_prog_cse/ws08/tutorial/solution_02.pdf solution])
* [http://www5.in.tum.de/lehre/vorlesungen/num_prog_cse/ws08/tutorial/exercise_02.pdf Exercise 2:] Linear Algebra ([http://www5.in.tum.de/lehre/vorlesungen/num_prog_cse/ws08/tutorial/solution_02.pdf solution])
* [http://www5.in.tum.de/lehre/vorlesungen/num_prog_cse/ws08/tutorial/exercise_03.pdf Exercise 3:] Calculus of one Variable
* [http://www5.in.tum.de/lehre/vorlesungen/num_prog_cse/ws08/tutorial/exercise_03.pdf Exercise 3:] Calculus of one Variable ([http://www5.in.tum.de/lehre/vorlesungen/num_prog_cse/ws08/tutorial/solution_03.pdf solution])
([http://www5.in.tum.de/lehre/vorlesungen/num_prog_cse/ws08/tutorial/solution_03.pdf solution])
* [http://www5.in.tum.de/lehre/vorlesungen/num_prog_cse/ws08/tutorial/exercise_04.pdf Exercise 4:] Calculus of Several Variables<!--
* [http://www5.in.tum.de/lehre/vorlesungen/num_prog_cse/ws08/tutorial/exercise_04.pdf Exercise 4:] Calculus of Several Variables<!--
([http://www5.in.tum.de/lehre/vorlesungen/num_prog_cse/ws08/tutorial/solution_04.pdf solution])
([http://www5.in.tum.de/lehre/vorlesungen/num_prog_cse/ws08/tutorial/solution_04.pdf solution])

Revision as of 15:56, 10 November 2008

Term
Winter 08
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
t.b.a.
Semesterwochenstunden / ECTS Credits
6 SWS (4V + 2Ü) / 8 Credits
TUMonline
{{{tumonline}}}



News

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Contents

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

  • Floating point arithmetics
  • Solving Linear systems
  • Interpolation
  • Quadrature
  • 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.


Lecture Notes

(Material will be updated throughout the semester)


Tutorial

Here are the sheets for the tutorial:


Organization:

Problems will be available one week before being discussed in the tutorial. Within this time, you should try to solve them either on your own or within a small group. Some of the exercises are marked with a black triangle. These problems are intended to be presented in the tutorial by a student. So you should be able to demonstrate the marked problems at the board. Active participation is crucial for admission to the final exam. Problems marked with 'P' are programming assignments. Solve this problems with MATLAB. A solution will be demonstrated and discussed in the tutorial.


Exam

A written exam will be offered at the end of the lecture period (probably on February 19th). More details will follow.


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, http://www.mai.liu.se/~akbjo/NMbook.html
  • Press, Flannery, Teukolsky, Vetterling: Numerical Recipes, Cambridge University Press
  • Golub, Ortega: Scientific Computing: An Introduction with Parallel Computing, Academic Press, 1993
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