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Dynamical Systems & Scientific Computing - Summer12

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Ernst Otto Fischer-Lehrpreis 2011

This course has recently been developed within the Ernst Otto Fischer prize for lecturing of the TUM


Term
Summer 12
Lecturer
Dr. rer. nat. Tobias Neckel, Dr. rer. nat. Florian Rupp
Time and Place
Monday 14:00-15:30, Wednesday 14:00-15:30; room 02.07.023
Audience
CSE, Mathematics (Master/Diplom), Informatics (Master/Diplom); Modul IN2251;
Tutorials
Friday 10:00-11:30; room 03.06.011
Exam
Monday, July 23, 11:00 - 13:00, in room MW 1250; 2 single DIN A 4 pages of handwritten notes are allowed
Semesterwochenstunden / ECTS Credits
6 SWS / 9 Credits
TUMonline
Dynamical Systems & Scientific Computing



News

  • The exam review will take place on August 2, 2012, 16:30 - 17:00 in room 02.07.023.
  • For the exam (details above), only 2 single DIN A 4 pages of handwritten notes are allowed (i.e. 1 sheet written on both sides or 2 single-written sheets). Make sure to really write them on your own (copies are not allowed).
  • The solution of exercise 4 is now online.
  • Exercise 4 is now online.
  • The solution of exercise 3 is now online.
  • Exercise 3 is now online.
  • The solution of exercise 2 is now online.
  • Updated schedule of the course
  • Starting time of the seminars and exercises:
    • Monday/Wednesday: 14:00 sharp (end 15:30)
    • Friday: 10:00 sharp (end 11:30)

Presentations

Please find the material concerning the talks in the restricted area.

Exercises

Worksheet due to solution solution matlab
Exercise 1 April 27
Exercise 2 May 11
Exercise 3 May 25
Exercise 4 June 8

Survey

"Dynamical Systems & Scientific Computing" introduces the theory and numerics of randomly disturbed differential equations from the point of view of both Dynamical Systems and Scientific Computing. This newly introduced course is designed as a seminar with a dedicated workshop part supplemented by exercises and some few lectures. The course is open (and meant for) students of mathematics as well as informatics: This interesting combination of different backgrounds will allow for fruitful discussion and solution approaches.

Skizze_engl_scaled.png

The focus of this course is on the student-centred approach to the topics during the seminary part. In the 3-day workshop, the participants apply their kowledge to a specific problem on earthquake responses in multi-storey buildings. Most parts of the so-called simulation pipeline are, thus, tackled in a hands-on approach:

  • Theory
  • Modelling
  • Numerics & Algorithms
  • Implementation & Data Structures
  • Visualisation
  • Verification & Validation

The major innovative element of this course is the workshop: The task is to realise a small software product in matlab. The participants will experience (parts of) the challenges and requirements of interdisciplinary projects in academia and industry.


Content

The seminary talks are chosen from the following topics. Details have been discussed during the kick-off meeting on January 31, 2012, at 17:00 in room 02.07.023 (cf. slides of the kick-off meeting).


Topics

Here is an ordered list of topics (short titles) with the info whether the topic is already assigned to a participant or still available:

  • 1 : RDE Formulation (assigned)
  • 2 : ODE Theory (assigned)
  • 3 : Deterministic Dynamical Systems (assigned)
  • 4 : Stability of Matrices (assigned)
  • 5 : Shadowing Lemma (assigned)
  • 6 : RDE Theory 1 (assigned)
  • 6b: RDE Theory 2
  • 7 : RDE Simulation (assigned)
  • 8 : RDE Stability (assigned)
  • 9 : Material Laws
  • 10: PDE Formulation of RDE
  • 11: ODE Simulation (assigned)
  • 12: Visualisation Principles (assigned)
  • 13: Fourier Transform (assigned)
  • 14: Discrete Sine Transform
  • 15: Space-filling Curves (assigned)
  • 16: Software Engineering (assigned)