Next semester

Modellierung mit gewöhnlichen Differentialgleichungen

Instructors: Univ.-Prof. Dr. Peter Spichtinger
Shortname: 08.079.790
Course No.: 08.079.790
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) 12:30 - 14:00
11/06/2020 (Friday) 10:30 - 12:00
11/11/2020 (Wednesday) 12:30 - 14:00
11/13/2020 (Friday) 10:30 - 12:00
11/18/2020 (Wednesday) 12:30 - 14:00
11/20/2020 (Friday) 10:30 - 12:00
11/25/2020 (Wednesday) 12:30 - 14:00
11/27/2020 (Friday) 10:30 - 12:00
12/02/2020 (Wednesday) 12:30 - 14:00
12/04/2020 (Friday) 10:30 - 12:00
12/09/2020 (Wednesday) 12:30 - 14:00
12/11/2020 (Friday) 10:30 - 12:00
12/16/2020 (Wednesday) 12:30 - 14:00
12/18/2020 (Friday) 10:30 - 12:00
01/06/2021 (Wednesday) 12:30 - 14:00
01/08/2021 (Friday) 10:30 - 12:00
01/13/2021 (Wednesday) 12:30 - 14:00
01/15/2021 (Friday) 10:30 - 12:00
01/20/2021 (Wednesday) 12:30 - 14:00
01/22/2021 (Friday) 10:30 - 12:00
01/27/2021 (Wednesday) 12:30 - 14:00
01/29/2021 (Friday) 10:30 - 12:00
02/03/2021 (Wednesday) 12:30 - 14:00
02/05/2021 (Friday) 10:30 - 12:00
02/10/2021 (Wednesday) 12:30 - 14:00
02/12/2021 (Friday) 10:30 - 12:00