Sangam: A Confluence of Knowledge Streams

Output error behavior for discretizations of ergodic, chaotic systems of ordinary differential equations

Show simple item record

dc.creator Frontin, Cory V.
dc.creator Darmofal, David L.
dc.date 2023-01-04T19:16:34Z
dc.date 2023-01-04T19:16:34Z
dc.date 2022-10
dc.date.accessioned 2023-02-17T19:52:10Z
dc.date.available 2023-02-17T19:52:10Z
dc.identifier 1070-6631
dc.identifier 1089-7666
dc.identifier https://hdl.handle.net/1721.1/146975
dc.identifier Frontin, Cory V. and Darmofal, David L. 2022. "Output error behavior for discretizations of ergodic, chaotic systems of ordinary differential equations." 34 (10).
dc.identifier.uri http://localhost:8080/xmlui/handle/CUHPOERS/242035
dc.description <jats:p> The use of numerical simulation for prediction of characteristics of chaotic dynamical systems inherently involves unpredictable processes. In this work, we develop a model for the expected error in the simulation of ergodic, chaotic ordinary differential equation (ODE) systems, which allows for discretization and statistical effects due to unpredictability. Using this model, we then generate a framework for understanding the relationship between the sampling cost of a simulation and the expected error in the result and explore the implications of the various parameters of simulations. Finally, we generalize the framework to consider the total cost—including unsampled spin-up timesteps—of simulations and consider the implications of parallel computational environments to give a realistic model of the relationship between wall-clock time and the expected error in simulation of a chaotic ODE system. </jats:p>
dc.format application/pdf
dc.publisher AIP Publishing
dc.relation 10.1063/5.0112998
dc.rights Creative Commons Attribution 4.0 International license
dc.rights https://creativecommons.org/licenses/by/4.0/
dc.source American Institute of Physics (AIP)
dc.subject Condensed Matter Physics
dc.subject Fluid Flow and Transfer Processes
dc.subject Mechanics of Materials
dc.subject Computational Mechanics
dc.subject Mechanical Engineering
dc.title Output error behavior for discretizations of ergodic, chaotic systems of ordinary differential equations
dc.type Article
dc.type http://purl.org/eprint/type/JournalArticle


Files in this item

Files Size Format View
5.0112998.pdf 3.561Mb application/pdf View/Open

This item appears in the following Collection(s)

  • DSpace@MIT [2699]
    DSpace@MIT is a digital repository for MIT's research, including peer-reviewed articles, technical reports, working papers, theses, and more.

Show simple item record

Search DSpace


Advanced Search

Browse