Mathematical Research at WIAS
- Analysis of Partial Differential Equations and Evolutionary Equations
- Analysis of ordinary and partial stochastic differential equations
- Development and analysis of financial models
- Direct and inverse problems in thermomechanics
- Free boundary problems for partial differential equations
- Functional analysis and operator theory
- Hysteresis operators and rate-independent systems
- Interacting stochastic particle systems
- Large deviations
- Machine Learning: Mathematical foundations to applications
- Methods for optimal stopping and control
- Modeling, analysis and numerics of phase field models
- Multi-scale modeling, asymptotic analysis, and hybrid models
- Numerical Methods for PDEs with Stochastic Data
- Numerical methods for problems from fluid dynamics
- Optimal Transport: Statistics, Numerics, and Partial Differential Equations
- Optimal control of partial differential equations and nonlinear optimization
- Random geometric systems
- Statistical Inference
- Statistical inverse problems
- Stochastic Optimization
- Systems of partial differential equations: modeling, numerical analysis and simulation
- Theory of dynamical systems
- Variational methods