Universität Wien

250117 VO Numerics of Partial Differential Equations (2025W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik
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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Friday 03.10. 11:30 - 13:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 06.10. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 10.10. 11:30 - 13:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 13.10. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 17.10. 11:30 - 13:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 20.10. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 24.10. 11:30 - 13:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 27.10. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 31.10. 11:30 - 13:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 03.11. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 07.11. 11:30 - 13:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 10.11. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 14.11. 11:30 - 13:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 17.11. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 21.11. 11:30 - 13:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 24.11. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 28.11. 11:30 - 13:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 01.12. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 05.12. 11:30 - 13:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 12.12. 11:30 - 13:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 15.12. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 19.12. 11:30 - 13:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 09.01. 11:30 - 13:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 12.01. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 16.01. 11:30 - 13:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 19.01. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 23.01. 11:30 - 13:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 26.01. 09:45 - 11:15 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 30.01. 11:30 - 13:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The course mainly focuses on Finite Element Methods for the numerical approximation of Partial Differential Equations. Three aspects of the finite element method will be considered: i) theoretical foundations, ii) examples of applications to the numerical approximation of partial differential equations arising in different application domains, iii) implementation details. After revising some basic concepts in functional analysis, finite element methods for the Poisson problem will be introduced; their stability and error analysis, as well as the basic tools for their implementation, will be presented. Then, finite element approximations of the heat equation, of the Helmholtz problem and of advection-dominated advection-diffusion problems will be considered, discussing the respective specific issues. Implementation details will be discussed.

This semester, the course is complemented by an optional "Proseminar" (250118 PS Numerics of Partial Differential Equations), which is not mandatory but recommended for additional practice.

Assessment and permitted materials

Final oral exam (by appointment)

Minimum requirements and assessment criteria

Presentation of theoretical and numerical aspects of Finite Element Methods for the numerical approximation of Partial Differential Equations arising from different applications.

Examination topics

Content of the lectures.

Reading list

Suggested reading: A. Quarteroni, Numerical Models for Differential Problems, Springer, 2014. Additional material and course notes will be distributed during the course.

Association in the course directory

MAMV; MANV; ML2; MEL

Last modified: We 06.05.2026 07:07