Publications
Reviewed articles in journals
L.P. Lindner, T. Gerach, T. Jahnke, A. Loewe, D. Weiss, C. Wieners:
Efficient time splitting schemes for the monodomain equation in cardiac electrophysiology.
International Journal for Numerical Methods in Biomedical Engineering 39 (2), 2022.
DOI: 10.1002/cnm.3666
T. Gerach, D. Weiss, O. Dössel, A. Loewe:
Observation Guided Systematic Reduction of a Detailed Human Ventricular Cell Model.
Conference Paper: 2019 Computing in Cardiology Conference
DOI:10.22489/CinC.2019.357
L. Gauckler, D. Weiss:
Metastable energy strata in numerical discretizations of weakly nonlinear wave equations.
Discrete and Continuous Dynamical Systems 37(7) (2017), pp 3721-3747.
C. Lubich and D. Weiss:
Numerical integrators for motion under a strong constraining force.
Multiscale Model Simul 12 (2014), pp 1592–1606.
D. Weiss, T. Küpper, and H.A. Hosham:
Invariant manifolds for non smooth systems with sliding mode.
Math Comput Simulat 110 (2015), pp 15–32.
B. Brumm and D. Weiss:
Heterogeneous multiscale methods for highly oscillatory mechanical systems with solution-dependent frequencies.
IMA J Numer Anal 34 (2014), pp 55–82.
D. Weiss, T. Küpper, and H.A. Hosham:
Invariant manifolds for nonsmooth systems.
Physica D: Nonlinear Phenomena 241 (2012), pp 1895–1902.
L. Gauckler, E. Hairer, C. Lubich, and D. Weiss:
Metastable energy strata in weakly nonlinear wave equations.
Comm. Partial Differential Equations 37 (2012), pp 1391–1413.
Book chapter
T. Küpper, H.A. Hosham, and D. Weiss:
Bifurcation for Non-smooth Dynamical Systems via Reduction Methods.
In: Recent Trends in Dynamical Systems
Springer Proceedings in Mathematics & Statistics Volume 35, 2013, pp 79–105.