Modellierung mit gewöhnlichen Differentialgleichungen
Instructors: Univ.-Prof. Dr. Peter SpichtingerShortname: 08.110.723
Course No.: 08.110.723
Course Type: Vorlesung/Übung
Format: online
Requirements / organisational issues
The course will take place digitally, i.e. the lecture will be provided digitally, the exercises will take place via MSTeams.Requirements:
Basic lectures from the bachelor's program in mathematics, i.e.
- Mathematics for Physicists
respectively
- Analysis & Linear Algebra
Digital teaching
The course will take place digitally, i.e. the lecture will be provided digitally, the exercises will take place via MSTeams.Contents
In this lecture an overview of modeling with ordinary differential equations is given. Based on many examples from the natural sciences (physics, chemistry, biology), important approaches to modeling are presented, including the analysis of the underlying equations. Besides theory and examples, numerical methods for solving the differential equations are presented.The following contents are treated:
- The role of models in the natural sciences (possibilities and limitations)
- Important examples from physics (cloud models), chemistry (cyclic reactions), biology (population dynamics, infection models)
- Important theorems from the theory of ordinary differential equations (existence/uniqueness)
- Analysis of dynamic systems (fixed points, limit cycles, bifurcations, stability)
- Asymptotic analysis (model reduction)
- Numerical methods for solving differential equations (finite differences, finite elements, spectral methods)
Dates
| Date (Day of the week) | Time | Location |
|---|---|---|
| 11/04/2020 (Wednesday) | 12:15 - 14:00 | online |
| 11/05/2020 (Thursday) | 12:30 - 14:00 | 05 - 134 Seminarraum 536 |
| 11/06/2020 (Friday) | 10:30 - 12:00 | online |
| 11/11/2020 (Wednesday) | 12:15 - 14:00 | online |
| 11/12/2020 (Thursday) | 12:30 - 14:00 | 05 - 134 Seminarraum 536 |
| 11/13/2020 (Friday) | 10:30 - 12:00 | online |
| 11/18/2020 (Wednesday) | 12:15 - 14:00 | online |
| 11/19/2020 (Thursday) | 12:30 - 14:00 | 05 - 134 Seminarraum 536 |
| 11/20/2020 (Friday) | 10:30 - 12:00 | online |
| 11/25/2020 (Wednesday) | 12:15 - 14:00 | online |
| 11/26/2020 (Thursday) | 12:30 - 14:00 | 05 - 134 Seminarraum 536 |
| 11/27/2020 (Friday) | 10:30 - 12:00 | online |
| 12/02/2020 (Wednesday) | 12:15 - 14:00 | online |
| 12/03/2020 (Thursday) | 12:30 - 14:00 | 05 - 134 Seminarraum 536 |
| 12/04/2020 (Friday) | 10:30 - 12:00 | online |
| 12/09/2020 (Wednesday) | 12:15 - 14:00 | online |
| 12/10/2020 (Thursday) | 12:30 - 14:00 | 05 - 134 Seminarraum 536 |
| 12/11/2020 (Friday) | 10:30 - 12:00 | online |
| 12/16/2020 (Wednesday) | 12:15 - 14:00 | online |
| 12/17/2020 (Thursday) | 12:30 - 14:00 | 05 - 134 Seminarraum 536 |
| 12/18/2020 (Friday) | 10:30 - 12:00 | online |
| 01/06/2021 (Wednesday) | 12:15 - 14:00 | online |
| 01/07/2021 (Thursday) | 12:30 - 14:00 | 05 - 134 Seminarraum 536 |
| 01/08/2021 (Friday) | 10:30 - 12:00 | online |
| 01/13/2021 (Wednesday) | 12:15 - 14:00 | online |
| 01/14/2021 (Thursday) | 12:30 - 14:00 | 05 - 134 Seminarraum 536 |
| 01/15/2021 (Friday) | 10:30 - 12:00 | online |
| 01/20/2021 (Wednesday) | 12:15 - 14:00 | online |
| 01/21/2021 (Thursday) | 12:30 - 14:00 | 05 - 134 Seminarraum 536 |
| 01/22/2021 (Friday) | 10:30 - 12:00 | online |
| 01/27/2021 (Wednesday) | 12:15 - 14:00 | online |
| 01/28/2021 (Thursday) | 12:30 - 14:00 | 05 - 134 Seminarraum 536 |
| 01/29/2021 (Friday) | 10:30 - 12:00 | online |
| 02/03/2021 (Wednesday) | 12:15 - 14:00 | online |
| 02/04/2021 (Thursday) | 12:30 - 14:00 | 05 - 134 Seminarraum 536 |
| 02/05/2021 (Friday) | 10:30 - 12:00 | online |
| 02/10/2021 (Wednesday) | 12:15 - 14:00 | online |
| 02/11/2021 (Thursday) | 12:30 - 14:00 | 05 - 134 Seminarraum 536 |
| 02/12/2021 (Friday) | 10:30 - 12:00 | online |