Stein's method has emerged as a powerful and versatile tool in probability theory for deriving error bounds in distributional approximations. Originally developed to ...

SIAM Journal on Numerical Analysis, Vol. 35, No. 2 (Apr., 1998), pp. 692-711 (20 pages) Various sophisticated finite element models for surface water flow based on the shallow water equations exist in ...

SIAM Journal on Numerical Analysis, Vol. 54, No. 4 (2016), pp. 2256-2281 (26 pages) The focus of this paper is the approximation of analytic functions on compact intervals from their pointwise values ...

Special functions have many remarkable properties that make them useful in various fields such as combinatory, astronomy, applied mathematics, physics, and engineering. This volume presents 15 ...

In this talk we present few instances of multilevel approximation methods involving PDEs with random parameters and associated scalar output quantities of interest (QoI). Multilevel methods aim at ...