Optimal prediction and the Mori-Zwanzig representation of irreversible processes

Alexandre J. Chorin*, Ole H. Hald, Raz Kupferman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

219 Scopus citations

Abstract

Optimal prediction methods compensate for a lack of resolution in the numerical solution of complex problems through the use of prior statistical information. We point out a relation between optimal prediction and the statistical mechanics of irreversible processes, and use a version of the Mori-Zwanzig formalism to produce a higher-order optimal prediction method.

Original languageAmerican English
Pages (from-to)2968-2973
Number of pages6
JournalProceedings of the National Academy of Sciences of the United States of America
Volume97
Issue number7
DOIs
StatePublished - 28 Mar 2000

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