Show simple item record

dc.contributor.authorKalmar-Nagy, Tamas
Stanciulescu, Ilinca
dc.date.accessioned 2014-07-30T16:23:09Z
dc.date.available 2014-07-30T16:23:09Z
dc.date.issued 2014
dc.identifier.citation Kalmar-Nagy, Tamas and Stanciulescu, Ilinca. "Can complex systems really be simulated?." Applied Mathematics and Computation, 227, (2014) Association for Computing Machinery: 199-211. http://dx.doi.org/10.1016/j.amc.2013.11.037.
dc.identifier.urihttps://hdl.handle.net/1911/76291
dc.description.abstract The simulation of complex systems is important in many fields of science and in real-world applications. Such systems are composed of many interacting subsystems. There might exist different software packages for simulating the individual subsystems and co-simulation refers to the simultaneous execution of multiple interacting subsystem simulators. Simulation or co-simulation, if not designed properly, can return misleading numerical solutions (unstable numerical solutions for what is in fact a stable system or vice versa). To understand the cause of these numerical artifacts, we first propose a simple mathematical model for co-simulation, and then construct stability charts. These charts shed light on transitions between stable and unstable behaviour in co-simulation. Our goal is to understand the stability properties of the simulated and co-simulated representation of the continuous system. We will achieve this goal by expressing the trace and determinant of the discretized system in terms of the trace and determinant of the continuous system to establish stability criteria.
dc.language.iso eng
dc.publisher Association for Computing Machinery
dc.rights This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by the Association for Computing Machinery.
dc.title Can complex systems really be simulated?
dc.type Journal article
dc.contributor.funder National Science Foundation
dc.citation.journalTitle Applied Mathematics and Computation
dc.subject.keywordstability
simulation and co-simulation
stability boundaries
dc.citation.volumeNumber 227
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1016/j.amc.2013.11.037
dc.identifier.grantID 0846783 (National Science Foundation)
dc.type.publication post-print
dc.citation.firstpage 199
dc.citation.lastpage 211


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record