teaching

Sommer-SEMESTER 2025


-  Vorlesung: Partial differential equations of mathematical physics, Mi., 8:30 - 10:00, Do., 16:15 - 17:45 in room SE 40, Christian Klingenberg


-  Übungen: Partial differential equations of mathematical physics, Fr. 12:15 - 13:45 in room SE 40, Daniel Weggenmann

                                             


In this class we will cover a range of topics pertaining to an important system of partial differential equations of continuum mechanics, the compressible Euler equations: derivation of the equations, questions of existence and uniqueness and numerical methods.


This course addresses master students of mathematics / mathematical physics / computational mathematics.

The lecture requires knowledge from the courses Analysis 1, 2 and Vertiefung Analysis from the Bachelor studies.



- Seminar angewandte Analysis (Bachelor); Mi. 10:15 - 11:45 im Raum SE 40


the lectures will take place in room 40.03.003 (Emil Fischer Str. 40)



June 30, 2025  2:00 PM, Adrienne Ilgen: The Black Scholes equation

June 30, 2025  2:40 PM, Jakob Krude: Stochastic gradient method

June 30, 2025  3:20 PM, Paul Weis: Statistical learning theory


July 7, 2025  2:00 PM, Christian Kraus: Introduction to Ito integration

July 7, 2025  2:40 PM, Jose Luis Bolívar Aguila: Finite Difference Schemes For The Heat Equation

July 7, 2025  3:20 PM, Adrian Martin Gonzalez: The wave equation




- Seminar angewandte Analysis und numerische Mathematik (Master): Mi. 10:15 - 11:45 im Raum SE 40


the lectures will take place in SE 40 (Emil Fischer Str. 40)


June 25, 2025 10:00 AM, Bastian Kraft: Large Time Solutions for Systems of One-Dimensional Hyperbolic Equations

June 25, 2025 10:40 AM, Julia Ising: A traffic model using hyperbolic partial differential equations

June 25, 2025 11:20 AM, Simon Krotsch: Introduction to the Active Flux numerical method for conservation laws


July 2, 2025 10:00 AM, Sebastian Schlautmann: A Practical Guide to Deterministic Particle Methods

July 2, 2025 10:40 AM, Jannik Reuß: Finite Difference Schemes For The Heat Equation

July 2, 2025 11:20 AM, Johannes Roth: Reduced Basis Methods


July 9, 2025 10:00 AM, Lisa Rüppel: Stochastic partial differential equations

July 9, 2025 10:40 AM, Julian Gurdan: Stochastic gradient methods for neural networks

July 9, 2025 11:20 AM, Antoine Weishaupt: Lorenz dynamical systems



In both seminars

- for each student we will select a topic that takes into account the interest of that person,


- it is possible to choose a topic that may lead to a Bachelor-/Master-thesis.




- Oberseminar mathematische Strömungsmechanik, nach Vereinbarung, siehe hier