Dynamical Systems & Scientific Computing - Summer13

Term

Summer 12

Lecturer

Dr. rer. nat. Tobias Neckel, Dr. rer. nat. Florian Rupp

Time and Place

probably: 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

probably: Friday 10:00-11:30; room 02.07.023

Exam

t.b.a.

Semesterwochenstunden / ECTS Credits

6 SWS / 9 Credits

TUMonline

Dynamical Systems & Scientific Computing

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News

• The slides and schedule presented at the kick-off meeting are online (see below).
• NOTE: The room for the kick-off meeting has changed: room 03.10.011
• The kick-off meeting will take place on January 31, 2013, at 17:00 in room 03.10.011

Exercises

t.b.a.

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 course has recently been developed within the Ernst Otto Fischer prize for lecturing of the TUM and 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 and CSE: 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 have been discussed during the kick-off meeting on January 31, 2013, at 17:00 in room 03.10.011 (cf. slides of the kick-off meeting and proposed schedule).

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