https://tue.osiris-student.nl/onderwijscatalogus/extern/cursus?cursuscode=3MA010&collegejaar=2025&taal=enThe course illustrates the steps towards the definition of analytical and numerical models for physical phenomena. The lectures will give an overview on selected simulation methods which are popular to solve problems in theoretical physics. These include:
- Partial differential equations and classical analytical modelling techniques;
- Random processes and random walk;
- Stochastic differential equations;
- Langevin and Fokker-Planck equations;
- Brownian-dynamics simulation method;
- Monte Carlo technique, Metropolis algorithm.
While the lectures provide the theoretical background and underlying physical principles, in the tutorial/exercise sessions practical applications focusing on specific physical problems will allow to obtain an in depth understanding on how simulation methods can be used to solve physical problems.
- Gaining insight into the concepts and methods of classical analytical and numerical modeling techniques
- Training and enhancing the modeling abilities
- Application of advanced mathematical and numerical methods to physical systems
- Application of models with relevance for a broad range of physical problems
- Mastering classical methodologies for solving the analytical and numerical models.
report