Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generic and density-sensitive method for multi-scale pedestrian
  dynamics   Microscopic approaches to the simulation of pedestrian dynamics rely on
modelling the behaviour of individual agents and their mutual interactions.
Regarding the spatial resolution, microscopic simulators are either based on
continuous (SpaceCont) or discrete (SpaceDisc) approaches. To combine the
advantages of both approaches, we propose to integrate SpaceCont and SpaceDisc
into a hybrid simulation model. Such a hybrid approach allows simulating
critical regions with a continuous spatial resolution and uncritical ones with
discrete spatial resolution while enabling consistent information exchange
between the two simulation models. We introduce a generic approach that
provides consistent solutions for the challenges resulting from coupling
diverging time steps and spatial resolutions. Furthermore, we present a dynamic
and density-sensitive approach to detect dense areas during the simulation run.
If a critical region is detected, the simulation model used in this area is
dynamically switched to a space-continuous one. The correctness of the hybrid
model is evaluated by comparison with a established simulator. Its superior
computational efficiency is shown by runtime comparison with a standard
microscopic simulation.on with the simulation results of other,
well-established simulation models.

29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga