Optimal prediction and the Mori-Zwanzig representation of irreversible processes

被引：200

作者：

Chorin, AJ

Hald, OH

Kupferman, R

机构：

[1] Univ Calif Berkeley, Lawrence Berkeley Lab, Dept Math, Berkeley, CA 94720 USA

[2] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 2000年 / 97卷 / 07期

关键词：

D O I：

10.1073/pnas.97.7.2968

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：2968 / 2973

页数：6

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