C8 (N): Numerical approximation of high-dimensional Fokker-Planck equations
The goal of this project is the development of numerical methods for the error-controlled approximation of Fokker-Planck equations in high dimensions, with particular focus on equations describing dilute polymer solutions and solutions with active particles. Two different classes of approximations are considered: sparse product basis expansions parameterized by low-rank tensor decompositions, and approximations by sums of high-dimensional Gaussian functions.The project started in January 2020
Contact
- Prof. Dr. Markus Bachmayr
- Institut für Mathematik
- Universität Mainz
- Staudingerweg 9
- D-55128 Mainz
- Tel: +49 6131 39-20172
- Fax: +49 6131 39-23331
- Sekr: +49 6131 39 22270
- bachmayrRGIfB@DrzXMGuni-mainz.de
- https://www.numerik.mathematik.uni-mainz.de/bachmayr/