Model pathway diagrams for the representation of mathematical models

Müller D, Kohlhase M, Koprucki T, Tabelow K, Rabe F (2018)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2018

Journal

Optical and Quantum Electronics Springer Verlag (Germany)

Publisher: SPRINGER

Book Volume: 50

Article Number: ARTN 70

Journal Issue: 2

DOI: 10.1007/s11082-018-1321-7

Abstract

Mathematical models are the foundation of numerical simulation of optoelectronic devices. We present a concept for a machine-actionable as well as human-understandable representation of the mathematical knowledge they contain and the domainspecific knowledge they are based on. We propose to use theory graphs to formalize mathematical models and model pathway diagrams to visualize them. We illustrate our approach by application to the van Roosbroeck system describing the carrier transport in semiconductors by drift and diffusion. We introduce an approach for the block-based composition of models from simpler components.

Authors with CRIS profile

Dennis Müller Professur für Wissensrepräsentation und -verarbeitung Michael Kohlhase Professur für Wissensrepräsentation und -verarbeitung Florian Rabe Professur für Wissensrepräsentation und -verarbeitung

Involved external institutions

Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) - Leibniz-Institut im Forschungsverbund Berlin e. V. DE Germany (DE)

How to cite

APA:

Müller, D., Kohlhase, M., Koprucki, T., Tabelow, K., & Rabe, F. (2018). Model pathway diagrams for the representation of mathematical models. Optical and Quantum Electronics, 50(2). https://dx.doi.org/10.1007/s11082-018-1321-7

MLA:

Müller, Dennis, et al. "Model pathway diagrams for the representation of mathematical models." Optical and Quantum Electronics 50.2 (2018).

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