Conservation 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.
Speaker: Francesca Bosa, Stanford
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Stanford, CA 94305
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