Henning S. Mortveit is an associate professor in the Network Systems Science and Advanced Computing division and in the Department of Engineering Systems and Environment. See faculty page.
How can we make a city and its physical infrastructures more resilient? How can existing infrastructures be modified to make a city more robust with respect to disasters? How do we reason about these questions in rigorous and efficient ways?
Modern cities are examples of highly complex systems that can be captured as massively interacting systems whose network components co-evolve with time. To capture these systems in a precise mathematical manner is a challenge that must address:
- modeling power
- ability to analytically analyze and validate mathematical models
- ability to efficiently implement models (construct simulation models) on current, high performance hardware
- scalability to accommodate simulation analysis needs in a timely manner
Mortveit’s research involves all these aspects and is rooted in the framework of Graph Dynamical Systems (GDS). This class of dynamical systems was introduced as a natural mathematical framework that permits precise modeling of massively interacting systems, and it addresses all the challenges above. His work covers both fundamental theory of GDS and their applications to system design, modeling, and analysis.
Part of his work covers software and system design for scalable, scientific computing. Ensuring scientifically reproducible computation for large scale simulation models is quite complex. Tracking all data sources, their provenance, their transformations to fit required input formats, the tracking of the tools and algorithms used to transform the data, as well as the simulation models that were used, give rise to many challenges. This work addresses this problem as well as efficient ways to add and combine simulation models for innovative and rapid modeling and analysis with integrated validation and data quality assessments.
Mortveit enjoys scientific visualization of spatial phenomena, in particular illustrations of dynamics of large, interaction-based systems involving synthetic information.
Keywords: Graph Dynamical Systems // Simulation Science // Stability Analysis (e.g., verification and validation, and sensitivity analysis)
- Attractor Stability in Finite Asynchronous Biological System Models
Bulletin of Mathematical Biology, (2019) Mortveit HS, Pederson RD
- A Framework for Validation of Large-Scale, Computer Simulation Models: An Application to Networked Epidemics
Proceedings of the ACM SIGSIM Conference on Principles of Advanced Discrete Simulation (PADS), (2017) Wu S, Mortveit HS, Gupta S
- Network Structure and Activity in Boolean Networks
Proceedings of the 21st International Workshop on Cellular Automata and Discrete Complex Systems, Vol 8155.2015:210-223. (2015) Adiga A, Galyean H, Kuhlman CJ, Levet M, Mortveit HS, Wu S
- Limit cycle structure for dynamic bi-threshold systems
Theoretical Computer Science, 559:34-41 (2014) Wu S, Adiga A, Mortveit HS
- Bifurcations in Boolean Networks
Discrete Mathematics and Theoretical Computer Science, Proceedings of the 17th International Workshop on Cellular Automata and Discrete Complex Systems, AP:29–46. (2011) Mortveit HS, Murrugarra D, Kuhlman CJ, Kumar VSA
- Partitioning hardware and software for reconfigurable supercomputing applications: A case study
Proceedings of the 2005 ACM/IEEE Conference on Supercomputing '05, 2005:27-38. (2005) Tripp J, Hansson A, Gokhale M, Mortveit HS
- Cycle equivalence of graph dynamical systems
Nonlinearity, 22(2):421-436. (2009) Macauley M, Mortveit HS
- Posets from Admissible Coxeter Sequences
The Electronic Journal of Combinatorics, 2011.18(1):#P197. (2011) Macauley M, Mortveit HS
Norwegian University of Science and Technology, Mathematics, PhD 2000
Norwegian Institute of Technology, Mathematics, MS 1995
Los Alamos National Laboratory, Mathematics and Simulation, Postdoctoral Associate, 2000-2002
Los Alamos National Laboratory, Mathematics and Simulation, Staff member, 2002-2005
Virginia Tech, Department of Mathematics, and Biocomplexity Institute, Associate Professor, 2005-2018