Luo, Ziping; Rabitz, Herschel Expected value analysis: Experimental considerations and convergence properties. (English) Zbl 0618.93067 Appl. Math. Comput. 23, 25-47 (1987). This is a study of the effect of perturbations to the solutions of differential equations. The idea is to derive approximate differential equations for the mean and the covariance by averaging out the random variations. Reviewer: J.Rissanen MSC: 93E14 Data smoothing in stochastic control theory 34F05 Ordinary differential equations and systems with randomness 93B35 Sensitivity (robustness) 34D10 Perturbations of ordinary differential equations Keywords:perturbations; approximate differential equations; random variations PDFBibTeX XMLCite \textit{Z. Luo} and \textit{H. Rabitz}, Appl. Math. Comput. 23, 25--47 (1987; Zbl 0618.93067) Full Text: DOI References: [1] Zi-ping Luo and H. Rabitz, Expected value analysis of multiparameter systems, submitted for publication.; Zi-ping Luo and H. Rabitz, Expected value analysis of multiparameter systems, submitted for publication. · Zbl 0634.93069 [2] Cukier, R. I., J. Chem. Phys., 26, 1 (1978) [3] Cukier, R. I., J. Chem. Phys., 59, 3837 (1973) [4] Rabitz, H., Ann. Rev. Phys. Chem., 34, 419 (1983) [5] Costanza, V.; Seinfeld, J., J. Chem. Phys., 74 (1981) [6] J. W. Tilden et al., in Modeling of Chemical Reaction Systems, Proc. of an International Workshop, Springer Series in Chemical Physics, Vol. 18.; J. W. Tilden et al., in Modeling of Chemical Reaction Systems, Proc. of an International Workshop, Springer Series in Chemical Physics, Vol. 18. [7] Bard, Yonathan, Nonlinear Parameter Estimation (1974), Academic: Academic New York · Zbl 0345.62045 [8] Barry, B. A., Error in Practical Measurement in Science, Engineering and Technology (1978), Wiley: Wiley New York [9] Mandel, J., The Statistical Analysis of Experimental Data (1964), Wiley: Wiley New York [10] Box, G., Statistics for Experimenters (1978), Wiley: Wiley New York · Zbl 0394.62003 [11] Jorden, P., Chemical Kinetics and Transport (1979), Plenum: Plenum New York This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.