Optimal prediction and the Mori-Zwanzig representation of irreversible processes.

Chorin, A J; Hald, O H; Kupferman, R · Proc Natl Acad Sci U S A · 2000

basic_science · Level V

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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.