101.374 AKNUM Seminar in partial differential equations: level set methods
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2019S, SE, 2.0h, 3.0EC

Properties

  • Semester hours: 2.0
  • Credits: 3.0
  • Type: SE Seminar

Aim of course

independent work on a special topic within partial differential equations; preparation of an own seminar talk

Subject of course

Level set methods are used to trace a time-dependent curve or surface. Applications: Spreading of a drop of oil on a smooth surface, of an acid stain in cloth, of a wave front, of a wild fire,... The evolution of the interface can be described by a non-linear PDE (Hamilton-Jacobi equation). The seminar deals with applciations, modelling, and numerical solution strategies.

Additional information

Zeit und Ort nach Vereinbarung
Please consider the plagiarism guidelines of TU Wien when writing your seminar paper: http://www.tuwien.ac.at/fileadmin/t/ukanzlei/t-ukanzlei-english/Plagiarism.pdf


Please consider the plagiarism guidelines of TU Wien when writing your seminar paper: https://www.tuwien.at/fileadmin/Assets/dienstleister/Datenschutz_und_Dokumentenmanagement/Plagiarism.pdf

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Thu14:00 - 16:0007.03.2019 - 27.06.2019Sem.R. DA grün 06B Besprech. Level Set Method.
AKNUM Seminar in partial differential equations: level set methods - Single appointments
DayDateTimeLocationDescription
Thu07.03.201914:00 - 16:00Sem.R. DA grün 06B Besprech. Level Set Method.
Thu14.03.201914:00 - 16:00Sem.R. DA grün 06B Besprech. Level Set Method.
Thu21.03.201914:00 - 16:00Sem.R. DA grün 06B Besprech. Level Set Method.
Thu28.03.201914:00 - 16:00Sem.R. DA grün 06B Besprech. Level Set Method.
Thu04.04.201914:00 - 16:00Sem.R. DA grün 06B Besprech. Level Set Method.
Thu11.04.201914:00 - 16:00Sem.R. DA grün 06B Besprech. Level Set Method.
Thu02.05.201914:00 - 16:00Sem.R. DA grün 06B Besprech. Level Set Method.
Thu09.05.201914:00 - 16:00Sem.R. DA grün 06B Besprech. Level Set Method.
Thu16.05.201914:00 - 16:00Sem.R. DA grün 06B Besprech. Level Set Method.
Thu23.05.201914:00 - 16:00Sem.R. DA grün 06B Besprech. Level Set Method.
Thu06.06.201914:00 - 16:00Sem.R. DA grün 06B Besprech. Level Set Method.
Thu13.06.201914:00 - 16:00Sem.R. DA grün 06B Besprech. Level Set Method.
Thu27.06.201914:00 - 16:00Sem.R. DA grün 06B Besprech. Level Set Method.

Examination modalities

good seminar talk, written seminar notes, regular participation

Course registration

Not necessary

Curricula

Literature

J. A. Sethian, Level Set Methods and Fast Marching Methods, Camebridge University Press, 1999

L. C. Evans, Partial Differential Equations, AMS, 1998

S. Osher und R. P. Fedkiw, Level Set Methods: An Overview and Some Recent Results

Previous knowledge

PDEs, numerical analysis

Language

if required in English