Estimating the uncertainty in underresolved nonlinear dynamics
Journal Article
·
· Mathematics and Mechanics
OSTI ID:1171166
The Mori-Zwanzig formalism of statistical mechanics is used to estimate the uncertainty caused by underresolution in the solution of a nonlinear dynamical system. A general approach is outlined and applied to a simple example. The noise term that describes the uncertainty turns out to be neither Markovian nor Gaussian. It is argued that this is the general situation.
- Research Organization:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- DE-AC02-05CH11231
- OSTI ID:
- 1171166
- Report Number(s):
- LBNL-6269E
- Journal Information:
- Mathematics and Mechanics, Journal Name: Mathematics and Mechanics
- Country of Publication:
- United States
- Language:
- English
Similar Records
Mori-Zwanzig reduced models for uncertainty quantification
NSLS-II: Nonlinear Model Calibration for Synchrotrons
Modeling Mesoscale Processes of Scalable Synthesis (Final Report)
Journal Article
·
Mon Jun 03 00:00:00 EDT 2019
· Journal of Computational Dynamics
·
OSTI ID:1171166
NSLS-II: Nonlinear Model Calibration for Synchrotrons
Technical Report
·
Fri Oct 08 00:00:00 EDT 2010
·
OSTI ID:1171166
Modeling Mesoscale Processes of Scalable Synthesis (Final Report)
Technical Report
·
Fri Mar 08 00:00:00 EST 2019
·
OSTI ID:1171166