52 citations · 199 across the 7 of their papers we have counts for
7 papers
Application of Adaptive Multilevel Splitting to High-Dimensional Dynamical Systems
S. Baars, D. Castellana, F. W. Wubs +1
Stochastic nonlinear dynamical systems can undergo rapid transitions relative to the change in their forcing, for example due to the occurrence of multiple equilibrium solutions fo…
A staggered-grid multilevel incomplete LU for steady incompressible flows
Sven Baars, Mark van der Klok, Jonas Thies +1
Algorithms for studying transitions and instabilities in incompressible flows typically require the solution of linear systems with the full Jacobian matrix. Other popular approach…
Continuation of Probability Density Functions using a Generalized Lyapunov Approach
S. Baars, J. P. Viebahn, T. E. Mulder +3
Techniques from numerical bifurcation theory are very useful to study transitions between steady fluid flow patterns and the instabilities involved. Here, we provide computational…
Continuation for thin film hydrodynamics and related scalar problems
Sebastian Engelnkemper, Svetlana V. Gurevich, Hannes Uecker +2
This chapter illustrates how to apply continuation techniques in the analysis of a particular class of nonlinear kinetic equations that describe the time evolution through transpor…
Order-of-magnitude speedup for steady states and traveling waves via Stokes preconditioning in Channelflow and Openpipeflow
Laurette S. Tuckerman, Jacob Langham, Ashley Willis
Steady states and traveling waves play a fundamental role in understanding hydrodynamic problems. Even when unstable, these states provide the bifurcation-theoretic explanation for…
Numerical Bifurcation Analysis of Marine Ice Sheet Models
Thomas E. Mulder, Henk A. Dijkstra, Fred W. Wubs
The climate variability associated with the Pleistocene Ice Ages is one of the most fascinating puzzles in the Earth Sciences still awaiting a satisfactory explanation. In particul…
A robust two-level incomplete factorization for (Navier-)Stokes saddle point matrices
Fred Wubs, Jonas Thies
We present a new hybrid direct/iterative approach to the solution of a special class of saddle point matrices arising from the discretization of the steady incompressible Navier-St…