Seminar Uncertainty Quantification - Summer 16

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Term
Summer 16
Lecturer
Tobias Neckel, Alfredo Parra , Benjamin Uekermann, Ionut Farcas
Time and Place
Kick-off meeting: 20.01.2016, 14:30 - 15:30 room: 02.07.023, Slides
Presentations: t.b.d.
Audience
Students from Master Computational Science and Engineering (IN2183), Informatics (IN2107), and Mathematics (MA6015)
Tutorials
-
Exam
-
Semesterwochenstunden / ECTS Credits
4 ECTS (CSE, IN), 3 ECTS (MA), volume of work will be adapted
TUMonline
UQ Seminar SS16



News

  • All information will be presented at the kick-off meeting (see above), please attend this meeting if you are interested in this seminar.
  • Max. number of participants: 10
  • The seminar will be completely in English, so the students also have to give their talks and to write their papers in English.

Basics in Stochastics

For the seminar, some basic knowledge in Stochastic in requested. To bridge some lack of knowledge, we want to refer to the following literature:

  • The chapter on Stochastic basics in Random Differential Equations in Scientific Computing (open access)
  • The chapter on Stochastic basics in Uncertainty Quantification: Theory, Implementation, and Applications. Ralph C. Smith. We have 2 exemplars to borrow or copy from.
  • For a wider background: H.-O. Georgii: Stochastik. Einführung in die Wahrscheinlichkeitstheorie und Statistik. de Gruyter, 2009. eBook link, there is also an English version.

Presentations

t.b.a.

Schedule

t.b.d.

Number Topic Date Student Supervisor
00 Introduction to UQ (Forward vs. inverse, data input) --- Tobias Neckel
01 Inverse Problems (without demo) t.b.a t.b.a Alfredo Parra
02 Sampling Methods for Forward Propagation t.b.a. t.b.a. Ionut Farcas
03 Polynomial Chaos 1: Theory t.b.a. t.b.a. Benjamin Uekermann
04 Polynomial Chaos 2: Stochastic Galerkin t.b.a. t.b.a. Alfredo Parra
05 Polynomial Chaos 3: Stochastic Collocation t.b.a. t.b.a. Benjamin Uekermann
06 Sparse Grids (in UQ) t.b.a. t.b.a. Alfredo Parra
07 Karhunen-Loève Expansion t.b.a. t.b.a. Ionut Farcas
08 Application to Fluid Dynamics and beyond t.b.a. t.b.a. Florian Künzner (flo.kuenzner@gmx.net)
09 a Output pdf Reconstruction t.b.a. t.b.a. Ionut Farcas
09 b UQ for RODE (SODE) t.b.a. t.b.a. Tobias Neckel
10 UQ Frameworks t.b.a. t.b.a. Tobias Neckel
11 Closing Session tbd - -