Expected value analysis: Experimental considerations and convergence properties

Zi ping Luo, Herschel Rabitz

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)25-47
Number of pages23
JournalApplied Mathematics and Computation
Volume23
Issue number1
DOIs
StatePublished - Jul 1987

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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