3 papers
math.NA2021
On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs
Tobias Böhle, Christian Kuehn, Mechthild Thalhammer
In this work, a novel approach for the reliable and efficient numerical integration of the Kuramoto model on graphs is studied. For this purpose, the notion of order parameters is…
math.NA2019
Efficient time integration methods for Gross--Pitaevskii equations with rotation term
Philipp Bader, Sergio Blanes, Fernando Casas +1
The objective of this work is the introduction and investigation of favourable time integration methods for the Gross--Pitaevskii equation with rotation term. Employing a reformula…
math.AP2017
Fundamental models in nonlinear acoustics part I. Analytical comparison
Barbara Kaltenbacher, Mechthild Thalhammer
This work is concerned with the study of fundamental models from nonlinear acoustics. In Part~I, a hierarchy of nonlinear damped wave equations arising in the description of sound…