6 citations · 14 across the 6 of their papers we have counts for
7 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…
Finding eigenvalues of holomorphic Fredholm operator pencils using boundary value problems and contour integrals
Wolf-Juergen Beyn, Yuri Latushkin, Jens Rottmann-Matthes
Investigating the stability of nonlinear waves often leads to linear or nonlinear eigenvalue problems for differential operators on unbounded domains. In this paper we propose to d…