TY - JOUR
T1 - Optimal prediction and the Mori-Zwanzig representation of irreversible processes
AU - Chorin, Alexandre J.
AU - Hald, Ole H.
AU - Kupferman, Raz
PY - 2000/3/28
Y1 - 2000/3/28
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0034724367&partnerID=8YFLogxK
U2 - 10.1073/pnas.97.7.2968
DO - 10.1073/pnas.97.7.2968
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AN - SCOPUS:0034724367
SN - 0027-8424
VL - 97
SP - 2968
EP - 2973
JO - Proceedings of the National Academy of Sciences of the United States of America
JF - Proceedings of the National Academy of Sciences of the United States of America
IS - 7
ER -