3 citations · 3 across the 1 of their papers we have counts for
6 papers
Out-of-equilibrium optomechanical resonance self-excitation
P. Milde, M. Langenhorst, H. Hölscher +4
The fundamental sensitivity limit of atomic force microscopy is strongly correlated to the thermal noise of the cantilever oscillation. A method to suppress this unwanted noise is…
An IMEX-RK scheme for capturing similarity solutions in the multidimensional Burgers' equation
Jens Rottmann-Matthes
In this paper we introduce a new, simple and efficient numerical scheme for the implementation of the freezing method for capturing similarity solutions in partial differential equ…
A splitting approach for freezing waves
Robin Flohr, Jens Rottmann-Matthes
We present a numerical method which is able to approximate traveling waves (e.g. viscous profiles) in systems with hyperbolic and parabolic parts by a direct long-time forward simu…
Freezing Traveling and Rotating Waves in Second Order Evolution Equations
Wolf-Jürgen Beyn, Denny Otten, Jens Rottmann-Matthes
In this paper we investigate the implementation of the so-called freezing method for second order wave equations in one and several space dimensions. The method converts the given…
Freezing similarity solutions in multi-dimensional Burgers' Equation
Jens Rottmann-Matthes
The topic of this paper are similarity solutions occurring in multi-dimensional Burgers' equation. We present a simple derivation of the symmetries appearing in a family of general…
Computation and Stability of Traveling Waves in Second Order Evolution Equations
Wolf-Jürgen Beyn, Denny Otten, Jens Rottmann-Matthes
The topic of this paper are nonlinear traveling waves occuring in a system of damped waves equations in one space variable. We extend the freezing method from first to second order…