The mesoscopic description of molecular systems is investigated by using the memory function approach, and uncertainty quantification methods are developed for the evaluation of time …
Modern probabilistic models involve computation and analysis in very high-dimensional spaces. Here we explore several of ways in which analysis of problems high dimensional spaces …
We develop a recursive multistage Wiener chaos expansion method (WCE) and a recursive multi-stage stochastic collocation method (SCM) for numerical integration of linear stochastic advection-diffusion-reaction …