101.500 Modelling with partial differential equations
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2021W, VO, 3.0h, 4.5EC

Course evaluation


  • Semester hours: 3.0
  • Credits: 4.5
  • Type: VO Lecture
  • Format: Distance Learning

Learning outcomes

After successful completion of the course, students are able to specify and apply a selection of PDE-applications in natural sciences and technology, and to discuss them from a mathematics perspective. They are able to describe the modelling assumptions or restrictions, as well as their essential analytical and numerical properties.

Subject of course

fluid dynamical models (Euler, Navier-Stokes, vortex models), traffic
flow models, theory of elasticity, homogenization, hyperbolic conservation laws, image processing models (nonlinear diffusion filter, shock filter), models for pattern formation
(reaktion-diffusion equations, Turing instability), evolution of thin films, collective behavior (kinetic equations)

Teaching methods

Derivation of PDE-models from basic physical principles, model simplifications

Mode of examination


Additional information

first zoom meeting: Tuesday, Oct. 6, 9am

Tuesdays - Join URL: https://tuwien.zoom.us/j/99799212661?pwd=SlVzSjNDZzh3RzgwZUQ4amtsVWpoZz09

Meeting-ID: 997 9921 2661
password: 8c146i71

Wednesdays - Join URL: https://tuwien.zoom.us/j/99291541129?pwd=Yi9SdGRIanVqTXhsTWtlRS9hSDNWQT09

Meeting-ID: 992 9154 1129
password: 2w910h24

Alternatively, you may register in the TUWEL-course 101.500, where the zoom meeting have been created.



Course dates

Tue09:00 - 10:1505.10.2021 - 25.01.2022 zoom (LIVE)lecture
Wed12:00 - 13:1506.10.2021 - 26.01.2022 zoom (LIVE)lecture
Modelling with partial differential equations - Single appointments
Tue05.10.202109:00 - 10:15 zoomlecture
Wed06.10.202112:00 - 13:15 zoomlecture
Tue12.10.202109:00 - 10:15 zoomlecture
Wed13.10.202112:00 - 13:15 zoomlecture
Tue19.10.202109:00 - 10:15 zoomlecture
Wed20.10.202112:00 - 13:15 zoomlecture
Wed27.10.202112:00 - 13:15 zoomlecture
Wed03.11.202112:00 - 13:15 zoomlecture
Tue09.11.202109:00 - 10:15 zoomlecture
Wed10.11.202112:00 - 13:15 zoomlecture
Tue16.11.202109:00 - 10:15 zoomlecture
Wed17.11.202112:00 - 13:15 zoomlecture
Tue23.11.202109:00 - 10:15 zoomlecture
Wed24.11.202112:00 - 13:15 zoomlecture
Tue30.11.202109:00 - 10:15 zoomlecture
Wed01.12.202112:00 - 13:15 zoomlecture
Tue07.12.202109:00 - 10:15 zoomlecture
Tue14.12.202109:00 - 10:15 zoomlecture
Wed15.12.202112:00 - 13:15 zoomlecture
Tue11.01.202209:00 - 10:15 zoomlecture

Examination modalities

oral exam at the end of the semester

Course registration

Not necessary



Previous knowledge

Partial differential equations;

basic knowledge in physics / mechanics is helpful