2 citations · 2 across the 3 of their papers we have counts for
4 papers
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…
Unidirectionally Coupled Map Lattices with Non-Linear Coupling: Unbinding Transitions and Super-Long Transients
Christian Marschler, Jürgen Vollmer
Recently, highly resolved experiments and simulations have provided detailed insight into the dynamics of turbulent pipe flow. This has revived the interest to identify mechanisms…
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…