Expected value analysis: Experimental considerations and convergence properties

Zi ping Luo; Herschel Rabitz

doi:10.1016/0096-3003(87)90054-3

Expected value analysis: Experimental considerations and convergence properties

Zi ping Luo
, Herschel Rabitz

Research output: Contribution to journal › Article › peer-review

Abstract

In a companion paper, we developed a method, EVA (expected value analysis), to analyze the effect of the uncertainty of parameters in multiparameter systems described by ordinary differential equations. In this paper, we first interpret the output mean of EVA from an experimental point of view. Secondly, we discuss the convergence properties of EVA. The only approximation is the truncation of higher order correlation effects. A quantitative analysis of the approximations is presented, justifying the methodology.

Original language	English (US)
Pages (from-to)	25-47
Number of pages	23
Journal	Applied Mathematics and Computation
Volume	23
Issue number	1
DOIs	https://doi.org/10.1016/0096-3003(87)90054-3
State	Published - Jul 1987

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/0096-3003(87)90054-3

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title = "Expected value analysis: Experimental considerations and convergence properties",

abstract = "In a companion paper, we developed a method, EVA (expected value analysis), to analyze the effect of the uncertainty of parameters in multiparameter systems described by ordinary differential equations. In this paper, we first interpret the output mean of EVA from an experimental point of view. Secondly, we discuss the convergence properties of EVA. The only approximation is the truncation of higher order correlation effects. A quantitative analysis of the approximations is presented, justifying the methodology.",

author = "Luo, \{Zi ping\} and Herschel Rabitz",

note = "Funding Information: The authors acknowledge support from the Department of Energy for this research.",

year = "1987",

month = jul,

doi = "10.1016/0096-3003(87)90054-3",

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journal = "Applied Mathematics and Computation",

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AU - Rabitz, Herschel

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Y1 - 1987/7

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AB - In a companion paper, we developed a method, EVA (expected value analysis), to analyze the effect of the uncertainty of parameters in multiparameter systems described by ordinary differential equations. In this paper, we first interpret the output mean of EVA from an experimental point of view. Secondly, we discuss the convergence properties of EVA. The only approximation is the truncation of higher order correlation effects. A quantitative analysis of the approximations is presented, justifying the methodology.

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Expected value analysis: Experimental considerations and convergence properties

Abstract

All Science Journal Classification (ASJC) codes

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