Numerical
treatment of time-dependent partial differential
equations:
non-relativistic limit/high-frequency
regimes for wave equations
geometric numerical integration
splitting methods for parabolic
evolution equations
...
Publications
E. Faou, K. Schratz: Asymptotic preserving schemes
for the Klein-Gordon equation in the non-relativistic limit regime.
Numer. Math. (2013) to appear.
A. Ostermann, K. Schratz: Stability of exponential
operator splitting methods for non-contractive semigroups, SIAM J. Numer. 51, 191-203 (2013).
A. Ostermann, K. Schratz: Error analysis of splitting
methods for inhomogeneous evolution equations. Appl.
Numer. Math. 62, 1436-1446 (2012).
M. Mergili, K. Schratz, A. Ostermann,
W. Fellin: Physically-based
modelling of granular flows with Open Source GIS. Nat.
Hazards Earth Syst. Sci. 12, 187-200 (2012).
A. Ostermann, K.
Schratz, G. Spielberger:
Lie splitting on polygonal domains. Proc. Appl. Math.
Mech. 11, 787-788 (2011)
Research
Interests