### Modeling, Algorithms, Simulation (Winter Semester 2024/25)

- Lecturer: Dr. Jasmin Hörter, Prof. Dr. Martin Frank
- Classes: Seminar (0125300)

Methods of computational science are essential for modern research and development in science, technology and economy. Numerous examples can be found in the fields of fluid mechanics, climate research and materials research. The mathematical modeling and algorithms used here are the focus of this seminar. The practical relevance and the optimal use of the models and algorithms and, in particular, the applications of these models and algorithms in computer simulations for concrete scientific problems, are especially emphasized. On the one hand, the optimal choice and further development of models and algorithms can significantly increase the efficiency, accuracy and reliability of simulations on high-performance computers. On the other hand, the solution of completely new scientific tasks is often based on already known models and algorithms. The topics offered for the seminar are based on current research and include mathematical-physical modeling, numerical and non-numerical algorithms as well as other methodological areas of scientific computing.

On selected topics, the students investigate current approaches to modeling and algorithms used in modern computer simulation. Students learn about practical applications of different models and numerical and non-numerical algorithms in research and development. The students deepen their knowledge in the assigned topic and critically examine literature sources and existing implementations. In doing so they try to reconstruct key points of a concrete work (a paper or a simulation code).

Preliminary topics are:

- Proper orthogonal decomposition
- Accuracy and performance of chemical solvers in atmospheric chemical models
- DeepONet for a dampened gravity pendulum
- Time integrators for Hamiltonian systems
- Particle swarm optimization
- The presentations will be given in a block seminar at the end of the lecture period WS24/25.

Target Audience: Mathematics, Informatics, Physics (Master) -Book under Mathematics (Master)

**Kickoff Meeting: 18.07.24 13:15, math building 20.30, room 3.061**

If you are interested in the seminar, please contact Dr. Jasmin Hörter, Email: jasmin.hoerter@kit.edu

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