103 citations · 180 across the 18 of their papers we have counts for
4 papers · 1 filter
Computation and stability of waves in equivariant evolution equations
Wolf-Jürgen Beyn, Denny Otten
Travelling and rotating waves are ubiquitous phenomena observed in time dependent PDEs modelling the combined effect of dissipation and non-linear interaction. From an abstract vie…
Stochastic C-stability and B-consistency of explicit and implicit Milstein-type schemes
Wolf-Jürgen Beyn, Elena Isaak, Raphael Kruse
This paper focuses on two variants of the Milstein scheme, namely the split-step backward Milstein method and a newly proposed projected Milstein scheme, applied to stochastic diff…
Stochastic C-stability and B-consistency of explicit and implicit Euler-type schemes
Wolf-Jürgen Beyn, Elena Isaak, Raphael Kruse
This paper is concerned with the numerical approximation of stochastic ordinary differential equations, which satisfy a global monotonicity condition. This condition includes sever…
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…