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Advanced numerical techniques for uncertainty quantification in engineering and life science problems

The project focuses on the development of numerical techniques for uncertainty quantification in engineering and life science applications, described through systems of Partial Differential Equations with uncertain input data, including forcing terms, boundary or initial conditions, model coefficients, etc. Specifically, it addresses the case of input uncertainty described in terms of random fields and defined in high (or infinite) dimensional probability spaces. Two specific applications will be addressed: 1) the study of contaminant movement in groundwater flows with the goal of determining capture zones for wells' protection; 2) the study of the bio-electrical activity of the heart, with the goal of designing optimal pacing locations.