• Deutsch
Login

  • Home
  • Search
  • Browse
  • Publish
  • FAQ

Refine

Author

  • Helfmann, Luzie (6)
  • Djurdjevac Conrad, Natasa (5)
  • Schütte, Christof (5)
  • Winkelmann, Stefanie (4)
  • Zonker, Johannes (3)
  • Djurdjevac, Ana (2)
  • Fuerstenau, Daniel (1)
  • Grabundzija, Ana (1)
  • Park, Martin (1)
  • Schier, Wolfram (1)
+ more

Year of publication

  • 2019 (2)
  • 2018 (3)
  • 2017 (1)

Document Type

  • Article (4)
  • Master's Thesis (1)
  • ZIB-Report (1)

Has Fulltext

  • no (4)
  • yes (2)

Institute

  • Numerical Mathematics (6) (remove)

6 search hits

  • 1 to 6
  • BibTeX
  • CSV
  • RIS
  • XML
  • 10
  • 20
  • 50
  • 100

Sort by

  • Year
  • Year
  • Title
  • Title
  • Author
  • Author
Human mobility and innovation spreading in ancient times: a stochastic agent-based simulation approach (2018)
Djurdjevac Conrad, Natasa ; Helfmann, Luzie ; Zonker, Johannes ; Winkelmann, Stefanie ; Schütte, Christof
Human mobility always had a great influence on the spreading of cultural, social and technological ideas. Developing realistic models that allow for a better understanding, prediction and control of such coupled processes has gained a lot of attention in recent years. However, the modeling of spreading processes that happened in ancient times faces the additional challenge that available knowledge and data is often limited and sparse. In this paper, we present a new agent-based model for the spreading of innovations in the ancient world that is governed by human movements. Our model considers the diffusion of innovations on a spatial network that is changing in time, as the agents are changing their positions. Additionally, we propose a novel stochastic simulation approach to produce spatio-temporal realizations of the spreading process that are instructive for studying its dynamical properties and exploring how different influences affect its speed and spatial evolution.
Stochastic Modeling of Interacting Agent Systems (2018)
Helfmann, Luzie
Human mobility and innovation spreading in ancient times: A stochastic agent-based simulation approach (2017)
Djurdjevac Conrad, Natasa ; Helfmann, Luzie ; Zonker, Johannes ; Winkelmann, Stefanie ; Schütte, Christof
Mathematical modeling of the spreading of innovations in the ancient world (2018)
Djurdjevac Conrad, Natasa ; Fuerstenau, Daniel ; Grabundzija, Ana ; Helfmann, Luzie ; Park, Martin ; Schier, Wolfram ; Schütt, Brigitta ; Schütte, Christof ; Weber, Marcus ; Wulkow, Niklas ; Zonker, Johannes
From interacting agents to density-based modeling with stochastic PDEs (2019)
Helfmann, Luzie ; Djurdjevac Conrad, Natasa ; Djurdjevac, Ana ; Winkelmann, Stefanie ; Schütte, Christof
Many real-world processes can naturally be modeled as systems of interacting agents. However, the long-term simulation of such agent-based models is often intractable when the system becomes too large. In this paper, starting from a stochastic spatio-temporal agent-based model (ABM), we present a reduced model in terms of stochastic PDEs that describes the evolution of agent number densities for large populations. We discuss the algorithmic details of both approaches; regarding the SPDE model, we apply Finite Element discretization in space which not only ensures efficient simulation but also serves as a regularization of the SPDE. Illustrative examples for the spreading of an innovation among agents are given and used for comparing ABM and SPDE models.
From interacting agents to density-based modeling with stochastic PDEs (2019)
Helfmann, Luzie ; Djurdjevac Conrad, Natasa ; Djurdjevac, Ana ; Winkelmann, Stefanie ; Schütte, Christof
Many real-world processes can naturally be modeled as systems of interacting agents. However, the long-term simulation of such agent-based models is often intractable when the system becomes too large. In this paper, starting from a stochastic spatio-temporal agent-based model (ABM), we present a reduced model in terms of stochastic PDEs that describes the evolution of agent number densities for large populations. We discuss the algorithmic details of both approaches; regarding the SPDE model, we apply Finite Element discretization in space which not only ensures efficient simulation but also serves as a regularization of the SPDE. Illustrative examples for the spreading of an innovation among agents are given and used for comparing ABM and SPDE models.
  • 1 to 6

OPUS4 Logo

  • Contact
  • Impressum und Datenschutz
  • Sitelinks