DOI: 10.1073/pnas.95.8.4094. Optimal prediction of underresolved dynamics

Optimal prediction of underresolved dynamics

10.1073/pnas.95.8.4094

Crossref journal-article

Proceedings of the National Academy of Sciences

Proceedings of the National Academy of Sciences (341)

Abstract

A method is presented for computing the average solution of problems that are too complicated for adequate resolution, but where information about the statistics of the solution is available. The method involves computing average derivatives by interpolation based on linear regression, and an updating of a measure constrained by the available crude information. Examples are given.

Bibliography

Chorin, A. J., Kast, A. P., & Kupferman, R. (1998). Optimal prediction of underresolved dynamics. Proceedings of the National Academy of Sciences, 95(8), 4094â4098.

Authors 3

Alexandre J. Chorin (first)
Anton P. Kast (additional)
Raz Kupferman (additional)

References 7 Referenced 69

, eds M Lesieur, P Compte, J Zinn-Justin (Elsevier, Amsterdam Computational Fluid Mechanics, Les Houches Summer School of Theoretical Physics, Session 54, 1996). / Computational Fluid Mechanics, Les Houches Summer School of Theoretical Physics, Session 54 by Lesieur M (1996)
A Papoulis Probability, Random Variables, and Stochastic Processes (McGraw–Hill, New York, 1991). / Probability, Random Variables, and Stochastic Processes by Papoulis A (1991)
10.1090/S0025-5718-1973-0329205-7
10.1103/PhysRevLett.78.867
10.1103/PhysRevLett.65.3281
10.1142/0356
G I Barenblatt, A J Chorin Proc Symp Appl Math 54, 1–25 (1998). / Proc Symp Appl Math by Barenblatt G I (1998)

Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 10:40 a.m.)
Deposited	3 years, 4 months ago (April 13, 2022, 3:51 p.m.)
Indexed	1 month, 4 weeks ago (July 4, 2025, 9:41 a.m.)
Issued	27 years, 4 months ago (April 14, 1998)
Published	27 years, 4 months ago (April 14, 1998)
Published Online	27 years, 4 months ago (April 14, 1998)
Published Print	27 years, 4 months ago (April 14, 1998)

Funders 0

None

BibTeX

@article{Chorin_1998, title={Optimal prediction of underresolved dynamics}, volume={95}, ISSN={1091-6490}, url={http://dx.doi.org/10.1073/pnas.95.8.4094}, DOI={10.1073/pnas.95.8.4094}, number={8}, journal={Proceedings of the National Academy of Sciences}, publisher={Proceedings of the National Academy of Sciences}, author={Chorin, Alexandre J. and Kast, Anton P. and Kupferman, Raz}, year={1998}, month=apr, pages={4094–4098} }

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