40 citations · 40 across the 7 of their papers we have counts for
6 papers · 1 filter
Continuation with Non-invasive Control Schemes: Revealing Unstable States in a Pedestrian Evacuation Scenario
Ilias Panagiotopoulos, Jens Starke, Jan Sieber +1
This paper presents a framework to perform bifurcation analysis in laboratory experiments or simulations. We employ control-based continuation to study the dynamics of a macroscopi…
Optimal vaccine roll-out strategies with respect to social distancing measures for SARS-CoV-2 pandemic
Konstantinos Spiliotis, Constantinos Chr. Koutsoumaris, Andreas Reppas +2
Non-pharmacological interventions (NPIs), and in particular social distancing, in conjunction with the advent of effective vaccines at the end of 2020, aspired for the development…
Convergence of equation-free methods in the case of finite time scale separation with application to deterministic and stochastic systems
Jan Sieber, Christian Marschler, Jens Starke
A common approach to studying high-dimensional systems with emergent low-dimensional behavior is based on lift-evolve-restrict maps (called equation-free methods): first, a user-de…
Equation-Free Analysis of Macroscopic Behavior in Traffic and Pedestrian Flow
Christian Marschler, Jan Sieber, Poul G. Hjorth +1
Equation-free methods make possible an analysis of the evolution of a few coarse-grained or macroscopic quantities for a detailed and realistic model with a large number of fine-gr…
Implicit Methods for Equation-Free Analysis: Convergence Results and Analysis of Emergent Waves in Microscopic Traffic Models
Christian Marschler, Jan Sieber, Rainer Berkemer +2
We introduce a general formulation for an implicit equation-free method in the setting of slow-fast systems. First, we give a rigorous convergence result for equation-free analysis…
An iterative method for the approximation of fibers in slow-fast systems
Kristian Uldall Kristiansen, Morten Brøns, Jens Starke
In this paper we extend a method for iteratively improving slow manifolds so that it also can be used to approximate the fiber directions. The extended method is applied to general…