17.1Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 17.2THE INVERSE HEAT-CONDUCTION PROBLEM A SPECTRAL STOCHASTIC APPROACH . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 17.2.1Introduction: Representation of random variables . . . . . . . . . . . 9 17.2.2The stochastic inverse heat-conduction problem (SIHCP): Problem definition ....

We investigate the sensitivity of an inverse population balance equation (PBE) modeling technique for extracting single particle functions from transient size distribution measurements. A dynamic PBE model of a turbulently agitated batch emulsification vessel is used to generate volume size distribution data under the assumption of negligible drop coalescence. The distribution data are subjecte...

[1] Interpolation and inverse modeling problems are ubiquitous in environmental sciences. In many applications, the parameters being estimated or mapped have physical constraints, such as nonnegativity (e.g. concentration, hydraulic conductivity), solubility limits, censored data (e.g. due to dry wells or detection limits), and other physical boundaries or missing data. Geostatistical interpola...