Dr. Raphael Gerlach

Academic Councillor for a Limited Period

Institut für Industriemathematik
Manager - Academic Councillor for a Limited Period
Chair of Applied Mathematics
Member - Academic Councillor for a Limited Period
E-Mail:
rgerlach@math.upb.de
Phone:
+49 5251 60-5022
Office Address:
Technologiepark 21
33100 Paderborn
Room:
TP21.1.25

Research

Latest Projects

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Publications

Latest Publications

On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
R. Gerlach, S. von der Gracht, M. Dellnitz, ArXiv:2305.06632 (n.d.).
https://math.uni-paderborn.de/en/ag/chair-of-applied-mathematics/research/research-projects/swarmdynamics arXiv
The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems
R. Gerlach, The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems, 2021.
DOI
A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors
R. Gerlach, A. Ziessler, B. Eckhardt, M. Dellnitz, SIAM Journal on Applied Dynamical Systems (2020) 705–723.
DOI
The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems
R. Gerlach, A. Ziessler, in: O. Junge, O. Schütze, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 66–85.
DOI
On the equivariance properties of self-adjoint matrices
M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems 35 (2020) 197–215.
DOI
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Teaching


Current Courses

  • Mathematik 4 für Maschinenbau (Numerische Methoden)
  • Computational Dynamics II (Übung)