Courses
For more recent information on the courses, see here
All teaching activities take place in presence in the corresponding lecture halls.
Lecture: Wed., Thu. 10:15 - 11:45 in SE 40, Kathin Hellmuth & Christian Klingenberg
Exercises: Fr., 14:15 - 15:45 in S0.102, Daniel Weggenmann
This class focuses on the mathematics behind many algorithms and techniques used in machine learning. Besides mathematical theory, we will also look at applied machine learning. - After successfully completing this course the student will be able to find and implement the machine learning technique appropriate for a given applied problem at hand.
This course addresses master students of mathematics / mathematical physics / computational mathematics.
The lecture requires knowledge from the courses Analysis 1,2 and 3 from the Bachelor studies as well as basic knowledge in stochastics.
Wed. 16:15 - 17:45 in SE 40
First meeting on Wed., Oct. 16. at 16:15 in SE 40
Within the scope of this seminar, it is possible to work on a topic that might lead to a Bachelor thesis.
Wed. 16:15 - 17:45 in SE 40
First meeting on Wed., Oct.16. at 16:15 in SE 40
Within the scope of this seminar, it is possible to work on a topic that might lead to a Master thesis.
For further information on previous courses see here
Lecture: Wed 8:30 -10:00, Thu 16:15 -17:45 in SE 30 (Emil Fischer Str. 30)
Exercises (held by Kathrin Hellmuth): Fr. 10:15 - 11:45 in SE 30 (Emil Fischer Str. 30), first exercise class in the second week of classes, on Friday, April 26
This course is open for all students of Master Mathemastics / Mathematical Physics / Computational Mathematics. The lecture introduces to theory and numerics of nonlinear partial differential equations and their applications.
Knowledge from analysis 1 & 2 & 3 from the Bachelor is required.
Di 14:15 -15:45, im Raum 40.03.003 (Emil Fischer Str. 40)
jointly with Leon Bungert.
In this course we will hand you some literature to the topic "Mathematics of Machine Learning". The material will be discussed in meetings with both lecturers.
Knowledge from the lecture "Mathematics of Machine Learning" is required in principle, otherwise it has to be obtained in personal studies in order to understand the literature.
It is possible to get aquainted to topics that might lead to a Master thesis.
Wed. 10:15 - 11:45 in SE 40 (Emil Fischer Str. 40)
Within the scope of this seminar it is possible to read up on a topic for a bachelor thesis.
First meeting: Wed. 17. April at 10:15 in SE 40 (Emil Fischer Str. 40)
Lecture: Mathematics of Machine Learning: Tues. 14:15 -15:45, Thurs. 10:00 -11:30 in SE 40 (Emil Fischer Str. 40)
Exercises (held by Kathrin Hellmuth): Fr. 14:00 -15:30 in SE 40, first exercise class in the second week of classes, on Friday, Oct. 27
Final Exam on Tue. Feb. 6, 2024 at 14:15 am
This class focuses on the mathematics behind many algorithms and techniques used in machine learning. Besides mathematical theory, we will also look at applied machine learning. - After successfully completing this course the student will be able to find and implement the machine learning technique appropriate for a given applied problem at hand.
This course addresses master students of mathematics / mathematical physics / computational mathematics.
The lecture requires knowledge from the courses Analysis 1,2 and 3 from the Bachelor studies as well as basic knowledge in stochastics.
Wed. 16:15 - 17:45 in SE 40
First meeting on Wed., Oct. 18 at 16:15 in SE 40
Within the scope of this seminar, it is possible to work on a topic that might lead to a Bachelor thesis.
Wed. 16:15 - 17:45 in SE 40
First meeting on Wed., Oct. 18 at 16:15 Uhr in SE 40
Within the scope of this seminar, it is possible to work on a topic that might lead to a Master thesis.
lecture: Mo. 14:15 -15:45, Tue. 12:15 -13:00 in SE 30 (Emil Fischer Str. 30)
exercise section: Tue. 13:00 -13:45 in SE 30
first exercise class in the second week of classes, on Tue. Apr. 25
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 exsitence and uniqueness and numerical methods. The class will be taught by Simon Markfelder (following his book, see here) and myself.
This course addresses master students of mathematics / mathematical physics / computational mathematics.
The lecture requires knowledge from the courses Analysis 1,2 and 3 from the Bachelor studies. No worries if you have not taken a course in PDE before.
Wed. 10:15 - 11:45 in SE 40 (Emil Fischer Str. 40)
Within the scope of this seminar it is possible to read up on a topic for a bachelor thesis.
First meeting: Wed. 19. April at 10:15 in SE 40 (Emil Fischer Str. 40)
Lecture: Tue. 10:15 -11:45, Thurs. 10:15 -11:45 in SE 40 (Emil Fischer Str. 40)
Exercises (held by Kathrin Hellmuth): Fr. 14:15 -15:45 in SE 40
This class focuses on the mathematics behind many algorithms and techniques used in machine learning. Besides mathematical theory, we will also look at applied machine learning. - After successfully completing this course the student will be able to find and implement the machine learning technique appropriate for a given applied problem at hand.
This course addresses master students of mathematics / mathematical physics / computational mathematics.
The lecture requires knowledge from the courses Analysis 1,2 and 3 from the Bachelor studies as well as basic knowledge in stochastics.
Wed. 16:15 - 17:45, SE 40
Within the scope of this seminar, it is possible to work on a topic that might lead to a Bachelor thesis.
Wed. 16:15 - 17:45 in SE 40
Within the scope of this seminar, it is possible to work on a topic that might lead to a Master thesis.
Wed. 10:15 - 11:45, class room SE 22.02.008 (Physik West), joint with Thorsten Ohl,
First meeting: Wednesday Oct. 18. Okt. at 10:15 in SE 22.02.008 (Physik West)
Within the scope of this seminar, it is possible to work on a topic that might lead to a Bachelor thesis.
Lectures take place in the class room SE 22.02.008 (Physik West)
Lecture: Tue 10:15 -11:45, Wed 14:15 -15:45 in room SE 30 (Emil Fischer Str. 30)
Exercises: Thu. 12:15 - 13:45 in room SE 40 (Emil Fischer Str. 40)
This course adresses master students of mathematics / mathematical physics / computational mathematics. It introduces theory (and numerics) for non-linear partial differential equations and their applications.
The lecture requires knowledge from teh courses analysis 1,2 and 3 from the bachelor studies.
Wed. 10:15 - 11:45
Within the scope of this seminar it is possible to read up on a topic for a bachelor thesis.
First meeting: Wed. 27. April at 10:15 in SE 40 (Emil Fischer Str. 40)
Wed. 10:15 - 11:45
Within the scope of this seminar it is possible to read up on a topic for a master thesis.
First meeting: Wed. 27. April at 10:15 in SE 40 (Emil Fischer Str. 40)
Lecture: Wed 14:15 -15:45; Thu. 10:15 -11:45 in HS 2 in SE 30
Exercises: Thu. 8:30 - 10:00 in SE 40
This course is open for all Students of Master Mathemastics / Mathematical Physics / Computational Mathematics. The lecture introduces to theory and numerics of nonlinear partial differential equations and their applications.
Knowledge from analysis 1 & 2 & 3 from the Bachelor is required.
The lecture and exercises will be hold in presence in the above mentioned lecture halls.
Tue 16:15 - 17:45, Seminar room SE 22.00.017 (Physics building West), together with Thorsten Ohl,
Within the scope of this seminar it is possible to get aquainted to topics that might lead to a Bachelor thesis.
First meeting for this seminar: in the first week of the semester on October 19 at 16:15 in Seminar room 22.00.017 (Physics building West).
The first meeting and the lectures will be hold in the above mentioned lecture hall.
Mo. 10:15 - 11:45 in SE 40
Within the scope of this seminar, it is possible to get aquainted to topics that might lead to a Bachelor thesis.
First meeting for this seminar: in the first week of the semester on October 18 at 10:15 in SE 40.
The first meeting and the lectures will be hold in the above mentioned lecture hall.
Mo. 10:15 - 11:45 in SE 40
Within the scope of this seminar it is possible to read up on a topic for a master thesis.
First meeting for this seminar: 18. Okt. 2021 at 10:15 in SE 40.
The first meeting and the lectures will be hold in the above mentioned lecture hall.
Lecture: Tu10:15 -11:45, Wed14:15 -15:45 online
Exercises (by Marlies Pirner): Th. 12:15 - 13:45 online
The lecture is suitable for students of the master programs of mathematics, mathematical physics, computational mathematics. I tgives an introduction to theory and numerics of non-linear partial differential equations and their application.
Knowledge of the Bachelor courses Aanalysis 1-3 is required.
The lecture will be given via Zoom. The access data can be found on the WueCampus course after inscribing for this course.
Alternatively, you can ask for it via Email.
Wed. 10:15 - 11:45, online
first meeting: 14. April at 10:15 , online
Within the scope of this seminar, it is possible to work on a topic that might lead to a Bachelor thesis.
The first meeting and the talks will be given on Zoom.
The access data can be found on the WueCampus course after inscribing for this course.
Alternatively, you can ask for it via Email.
Wed. 10:15 - 11:45, online
first meeting: 14. April at 10:15 , online
Within the scope of this seminar, it is possible to work on a topic that might lead to a Master thesis.
The first meeting and the talks will be given on Zoom.
The access data can be found on the WueCampuscourse after inscribing for this course.
Alternatively, you can ask for it via Email.
Wed. 10:15 - 11:45, online
First meeting: 14. April at 10:15, online
Within the scope of this seminar, it is possible to work on a topic that might lead to a Master thesis.
The first meeting and the talks will be given on Zoom.
The access data can be found on the WueCampus course after inscribing for this course.
Alternatively, you can ask for it via Email.
Lecture: Tu. 08:15 - 9:45 online und Th. 16:15 - 17:45 online ,
Exerciese: Th 12:15-13:45 online
This course is also for Students of Master Mathemastics/Computational Mathematics. The lecture introduces to partial differential equation of fluid dynamics.
Lecture and exercises are done via Zoom. Futher Information is provided later, see up-to-date information.
Th. 10:15-11:45 online
First meeting: We, 03. Nov at 10:15
Lectures are done via Zoom.
Within the scope of this seminar it is possible to read up on a topic for a master thesis.
The lectures can be found online.
Di. 10:15-11:45 am online
First meeting for this seminar: in the first week of the semester on Wednesday, 03. Nov. at 10:15 am online or by individual agreement.
Lectures are done via Zoom.
Within the scope of this seminar it is possible to read up on a topic for a master thesis.
The lectures can be found online.
Th. 10:15-11:45 online
First meeting: We, 03. Nov at 10:15
Lectures are done via Zoom.
Within the scope of this seminar it is possible to read up on a topic for a bachelor thesis.
The lectures can be found online.
Di. 16:15 - 17:45, online, together with Thorsten Ohl,
First meeting: We, 03. Nov at 16:15, online
Lectures are done via Zoom.
Within the scope of this seminar it is possible to read up on a topic for a bachelor thesis.
The lectures can be found online.
Lecture: Tu. 10:15 - 11:45 Uhr und We. 14:15 - 15:45 Uhr, Room SE 30
Exercise: Th 12:15-13:45, SE40
This course is also for Students of Master Mathemastics/Computational Mathematics. The lecture introduces to partial differential equation of fluid dynamics.
We. 10:15-11:45, Raum SE 40
First meeting: We, 29.04 at 10:15 Uhr in SE 40.
Within the scope of this seminar it is possible to read up on a topic for a master thesis.
Vorlesung: Tu. 12:15 - 13:45 Uhr und We. 8:15 - 9:45 Uhr, Raum SE 40
Übung: Th 16:15-17:45, S0.101 (Tutor Claudius Birke)
Theory and numerics of nonlinear partial differential equations
We. 10:15-11:45, Raum SE 40
First meeting: Tu, 15.10 at 10:15 Uhr in SE 40.
Within the scope of this seminar it is possible to read up on a topic for a master thesis.
Lecture: Tu. 10:15 - 11:45 Uhr und We. 14:15 - 15:45 Uhr, Room SE 30
Exercise: Th 12:15-13:45, S0.101 (By Farah Kanbar)
This course is also for Students of Master Mathemastics/Computational Mathematics (As the Module: "Zurzeitnochnichtbekannt"). The lecture introduces to partial differential equation of fluid dynamics.
We. 10:15-11:45, Raum SE 40
First meeting: We, 24.05 at 10:15 Uhr in SE 40.
Within the scope of this seminar it is possible to read up on a topic for a master thesis.
Tuesday, June 4
4:00 - 4:35 pm: Maximilian Lorenz: On modeling American options
4:40 - 5:15 pm: Kathrin Hellmuth: Volatility models in stochastic financial mathematics
5:20 - 5:55 pm: Matthias Pascal Clad: On the wave equation
Tuesday, June 11
4:00 - 4:35 pm: Stefan Pfeuffer: Well-posedness for scalar conseravation laws
4:40 - 5:15 pm: Kardelen Koc: On well-balanced schemes for Friedrichs Systems
Tuesday June 25
4:00 - 4:35 pm: Julian Meusel: On a strongly hyperbolic formulation of the Einstein equations
4:40 - 5:15 pm: Sarah Winkelmann: Numerics for conservation laws: finite volume methods
5:20 - 5:55 pm: Sarah Winkelmann: Numerics for conservation laws: high order methods
6:00 - 6:30 pm Mattis Vogelsang: On the equations of magnetohydrodynamics
Tuesday July 9
4:00 - 4:35 pm: Winnie Hartwig: An introduction to the discontinuous Galerkin method, part 1
4:40 - 5:15 pm: Winnie Hartwig: An introduction to the discontinuous Galerkin method, part 2
5:20 - 5:55 pm: Felix Weiß: On the discontinuous Galerkin method, part 1
6:00 - 6:35 pm: Felix Weiß: On the discontinuous Galerkin method, part 2
additional participants in this seminar:
- Lukas Baumgärtner: Machine learning and numerical simulations of partial differential equations
We. 10:15-11:45, Raum SE 40
First meeting: We, 24.04 at 10:15 Uhr in SE 40.
Within the scope of this seminar it is possible to read up on a topic for a Bachelor thesis.
Mi. 12. Juni
8:00 - 8:35 Uhr: Jonas Dornbusch: Numerische Methoden zur Lösung der Wärmeleitungsgleichung
8:40 - 9:15 Uhr: Maximilian Schemel: Über die Modellierung von Öl-lagerstätten mit der Buckley-Leverett Gleichung
9:20 - 9:55 Uhr: Maximilian Schell: Wohlgestelltheit für skalare Erhaltungsgleichungen
Mi. 26. Juni
8:00 - 8:35 Uhr: Till Düsberg: Räuber-Beute Modelle in der mathematischen Biologie
8:40 - 9:15 Uhr: Fridolin Popov: Über ein Modell über die Bewegung von Zellen
9:20 - 9:55 Uhr: Moritz Beck: Über stochastische Differentialgleichungen I
Mi. 10. Juli
8:00 - 8:35 Uhr: Moritz Beck: Über stochastische Differentialgleichungen II
8:40 - 9:15 Uhr: Marius Volpert: Numerische Lösungen für Erhaltungsgleichungen: der Godunov-Löser
9:20 - 9:55 Uhr: Jonas Schlecht: Numerische Lösungen für Erhaltungsgleichungen: approximativer Godunov-löser
Lecture: Tu. 10:15 - 11:45 and We. 10:15 - 11:45, Room SE 40
Exercise: We 8:30-10:00, S0.101 (By Simon Markfeder)
This is a first course on partial differential equations.
Mo. 8-10, Raum SE 40
Mo. 3. Dez.
8:00 - 8:30 Uhr: Tsu-Peng Hsu: “Gas flow in one space dimension, part 1”
8:40 - 9:10 Uhr: Steffen Krannich: "Gas flow in one space dimension, part 2”
9:20 - 9:50 Uhr: Kardelen Koc: "Gas flow in one space dimension, part 3”
Mo. 10. Dez.
8:00 - 8:30 Uhr: Sarah Winkelmann: “Numerics of hyperbolic equations part 1"
8:40 - 9:10 Uhr: Alexander Bayer: "“Numerics of hyperbolic equations part 2"
9:20 - 9:50 Uhr: Stefan Zips: “Numerics of hyperbolic equations part 3"
Mo. 17. Dez.
8:00 - 8:30 Uhr, Julian Meusel: “A covariant alternative to the Einstein equations: deriving the second-order CCZ4 system”
8:40 - 9:10 Uhr, Tobias Herzing: “Introduction to stochastic differential equations”
9:20 - 9:50 Uhr, Tobias Herzing: "Numerics of stochastic differential equations”
Mo. 7. Jan.
8:00 - 8:30 Uhr: Nadja Henning: “Godunov’s method for linear system of hyperbolic partial differential equations”
8:40 - 9:10 Uhr: Stephan Pfeuffer: “Finite volume method for scalar conservation laws”
9:20 - 9:50 Uhr: Winnie Hartwig: “Godunov’s method for systems of conservation laws using approximate Riemann solvers”
Mo. 21. Jan.
8:00 - 8:30 Uhr: Siqi Wang: Computing financial derivatives
8:40 - 9:10 Uhr: Jonas Jackwirth: “Finite volume methods for multi-dimensional systems of conservation laws”
9:20 - 9:50 Uhr: Tahamina Akter: “An introduction to to the Boltzmann equation”
Mo. 28. Jan.
8:00 - 8:30 Uhr: Katharina Bernard: “On reconstruction of dynamic objects in computerized tomography”
8:40 - 9:10 Uhr: Kathrin Hellmuth: “Derivation of the Black Scholes equation”
9:20 - 9:50 Uhr: Steffen Hennig: “On numerical conformal mappings”
Do. 12-14, Raum 40.03.003
Do. 10. Jan. 2019
12:15 - 12:50 Uhr, Moritz Beck: Über Zwei Punkt Randwertprobleme
13:00 - 13:35 Uhr, Tillman Schmucker: Die Wärmeleitungsgleichung
Do. 24. Jan. 2019
12:15 - 12:50 Uhr, Jonas Schlecht: Numerik zur Wärmeleitungsgleichung, erster Teil
13:00 - 13:35 Uhr, Fridolin Popov: Numerik zur Wärmeleitungsgleichung, zweiter Teil
Do. 31. Jan. 2019
12:15 - 12:50 Uhr, Stefan Pfeuffer: Finite Differenzen Verfahren zur Lösung schalerer Erhaltungsgleichungen
13:00 - 13:35 Uhr, Lukas Baumgärtner: ClawPack, ein Programmpaket zur Lösung von hyperbolischen Erhaltungsgleichungen
Di. 16:15 - 17:45, Physik West SE 22.00.017
08.01.2019 Luca Umminger: “Einführung, stochastische Prozesse, Brownsche Bewegung”
08.01.2019 Solveig Wittig: Itô Integral
15.01.2019 Maureen Krumtünger, Itô Formel
15.01.2019 Kaja Jurak, Stochastiche Differentialgleichungen
22.01.2019 Caecilia Hepperle, Diffusion 1
22.01.2019 Bastian Dittrich. Diffusion 2
29.01.2019, Nicole Dannenberg, Diffusion 3
29.01.2019 Anton Söllner, Black-Scholes oder Feynman-Kac
