5 papers
An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware
Lukas Einkemmer, Alexander Ostermann, Mirko Residori
Recently a splitting approach has been presented for the simulation of sonic-boom propagation. Splitting methods allow one to divide complicated partial differential equations into…
Error estimates at low regularity of splitting schemes for NLS
Alexander Ostermann, Frédéric Rousset, Katharina Schratz
We study a filtered Lie splitting scheme for the cubic nonlinear Schrödinger equation. We establish error estimates at low regularity by using discrete Bourgain spaces. This allows…
Fourier integrator for periodic NLS: low regularity estimates via discrete Bourgain spaces
Alexander Ostermann, Frédéric Rousset, Katharina Schratz
In this paper, we propose a new scheme for the integration of the periodic nonlinear Schrödinger equation and rigorously prove convergence rates at low regularity. The new integrat…
A low-rank projector-splitting integrator for the Vlasov--Maxwell equations with divergence correction
Lukas Einkemmer, Alexander Ostermann, Chiara Piazzola
The Vlasov--Maxwell equations are used for the kinetic description of magnetized plasmas. As they are posed in an up to 3+3 dimensional phase space, solving this problem is extreme…
Fast algorithms for morphological operations using run-length encoded binary images
Gregor Ehrensperger, Alexander Ostermann, Felix Schwitzer
This paper presents innovative algorithms to efficiently compute erosions and dilations of run-length encoded (RLE) binary images with arbitrary shaped structuring elements. An RLE…