In 2019, I received my Ph.D in applied mathematics from RWTH, Aachen, under the supervision of Prof. Dr. Manuel Torrilhon. There I developed entropy stable numerical schemes for linear kinetic equations. For my postdoc, I moved to the Max Planck Institute, Magdeburg, where, in the group of Prof. Dr. Peter Benner and Dr. Sara Grundel, I study model reduction techniques for hyperbolic equations. In particular, I develop non-linear reduced basis methods that can better approximate manifolds with slow decaying Kolmogorov widths.
Matlab routines for a SBP finite difference discretization of linear kinetic equations arising from gas transport. Time-discretization using a fourth-order RK scheme. Works on 1D and 2D Cartesian meshes. Generates a reference solution using a discrete velocity method.
C++ routines to perform grid and velocity space adaptivity for gas transport. Uses an adjoint based a-posteriori error estimator for both the grid and velocity space discretization. Uses MPI for grid distribution over processors. Works on curved multi-D domains.
Matlab routines for a SBP Staggered grid finite difference discretization of the radiation transport equation. Time-discretization using a fourth-order RK scheme. Includes Mathematica routines to compute L2-stable boundary conditions.
C++ routines to solve a kinetic equation with a Hermite spectral method and a DG scheme. Time discretization with an implicit Euler method. Works on curved multi-D domains. Includes test cases on flow over NACA aerofoils, cylinder, etc.