Francesca Boso, PhDSenior Reserach Scientist | Stanford UniversityTitle(Data-Informed) CDF equations for Conservation Laws
AbstractConservation laws are often expressed in the form of differential models with uncertain parameters and inputs. The method of distributions, which comprises PDF and CDF methods, quantifies parametric uncertainty by deriving deterministic equations for either probability density function (PDF) or cumulative distribution function (CDF) of model solutions.
It can be derived in exact form for a class of nonlinear hyperbolic equations, whereas in general it requires the development of ad hoc closures. I will be presenting an overview of strategies that we developed to obtain workable PDF/CDF equations for specific conservation problems.
BioFrancesca is a senior research scientist in the Energy Resources Engineering Department at Stanford University, following her postdoc at the University of California, San Diego. She received her PhD in Environmental Engineering from the University of Trento, Italy, specializing in hydrology. She has been investigating uncertainty quantification for environmental applications.