Recent research topics

Time discretization methods for differential equations
- Runge-Kutta (RK) methods
- Linear multistep methods (LMMs)
- Strong stability preserving (SSP) methods
- Adaptive / variable step-size methods

Scientific computing aspects of machine learning and deep learning
- Neural differential equations

Previous research topics

Numerical functional analysis
- Stability notions for nonlinear operator equations
- Numerical methods for operator semigroups