Applied and Computational Mathematics (ACM)

Lab Exercises for Numerical Analysis and Simulation I: ODEs

Winter Term 2014/2015

Organizers

Prof. Dr. Michael Günther

Type

Programming exercises -- Praktikum (2 SWS).

Credits

3 points

Target audience

Participants of the lecture Numerical Analysis and Simulation II: ODEs.

Contents

The lab exercises include the implementation of methods, which are introduced in the lecture Numerical Analysis and Simulation II: ODEs. The methods are implemented using the software package MATLAB or OCTAVE. Four lab exercises will be provided.

Procedure

There will be four lab exercises in the period October 2014 - February 2015. The 3 credit points of this course are achieved if three of the four lab exercises are implemented successfully. The exercises can be done in groups of 1-3 persons. Each group will present and explain their implementations at corresponding meetings. A list of possible dates will be provided for each lab exercise. There will not be a weekly meeting for all participants. Nevertheless, a weekly office hour will be provided, where questions can be discussed.

Office hour

by appointment

{guenther,kossaczky} at math.uni-wuppertal.de

Sheets

Lab Exercise 1

Lab Exercise 2

Lab Exercise 3

Presentation

Lab 1: 10-14. 11

Lab 2: 24-28. 11

Lab 3: 15-18. 12

Literature

  • J. Stoer, R. Bulirsch: Introduction to Numerical Analysis. Springer, Berlin, 2002. (Chapter 7)
  • J. Stoer, R. Bulirsch: Numerische Mathematik 2. Springer, Berlin, 2005. (Kapitel 7)
  • A. Quarteroni, R. Sacco, F. Saleri: Numerical Mathematics. Springer, New York, 2007. (Chapter 11)
  • K. Strehmel, R. Weiner: Numerik gewöhnlicher Differentialgleichungen. Teubner, 1995.
  • P. Deuflhard, F. Bornemann: Scientific Computing with Ordinary Differential Equations. Springer, New York, 2002.

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