Dynamical Systems & Scientific Computing - Summer12
Ernst Otto Fischer-Lehrpreis 2012
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 14:00-16:00, Wednesday 14:00-16:00; room 02.07.023
- Audience
- CSE, Mathematics (Master/Diplom), Informatics (Master/Diplom); Modul IN2251; TUMonline details
- Tutorials
- Friday 10:00-12:00, room 03.06.011
- Exam
- t.b.a.
- Semesterwochenstunden / ECTS Credits
- 6 SWS / 9 Credits
- TUMonline
- {{{tumonline}}}
News
- A survey on the short titles and numbers of the topics can be found below, together with the info if the topic is already assigned or still available.
- Check the slides of the kick-off meeting for details on the topics and the preliminary schedule.
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.
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 will be discussed during the kick-off meeting on January 31, 2012, at 17:00 in room 02.07.023.
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
- 6 : RDE Theory (assigned)
- 7 : RDE Simulation 1 (assigned)
- 8 : RDE Simulation 2 (assigned)
- 8b: RDE Stability (assigned)
- 9 : Material Laws (assigned)
- 10: PDE Formulation of RDE (assigned)
- 11: ODE Simulation (assigned)
- 12: Visualisation Principles (assigned)
- 13: Fourier Transform (assigned)
- 14: Discrete Sine Transform
- 15: Space-filling Curves (assigned)
- 16: Software Engineering
- 16b: (Propagation of Oscillations)