Project Area A • Mathematical Foundations Mathematical foundations deals with general and fundamental questions concerning the analysis and numerics of wave phenomena, often by analyzing characteristic examples.
KIT Projects
A1
Large signals in nonlinear fiber optics (Hundertmark , Kunstmann )
A2
Numerical methods for wave problems with nontrivial boundary conditions (Hochbruck , Lubich )
A3
Adaptive implicit space-time discretization for wave equations (Dörfler , Wieners )
A4
Time integration of Maxwell and wave-type equations (Hochbruck , Schnaubelt )
A5
Qualitative behavior of nonlinear Maxwell equations (Schnaubelt )
A6
Time-periodic solutions for nonlinear Maxwell equations (Plum , Reichel )
A7
Numerical methods for highly oscillatory problems (Hochbruck , Jahnke , Lubich )
A8 Failure of amplitude equations (7/2015 - 6/2019)
A9 Spectral methods for dispersive equations (7/2015 - 6/2019)
A10
Standing and moving pulses in periodic media (Reichel , Schneider )
A11
Electromagnetic fields interacting with quantum matter (Anapolitanos , Hundertmark )
A12
Dynamics of the Gross–Pitaevskii equation (Liao , Schneider )
A13
Dispersive estimates for wave equations with low regularity coefficients (Frey , Schnaubelt )
