The steady, axisymmetric laminar flow of a Newtonian fluid past a centrally-located sphere in a pipe first loses stability with increasing flow rate at a steady, O(2)-symmetry breaking bifurcation… (More)

This paper describes the a posteriori estimation of the error in the flux of a finite element approximation on a piece of the boundary of the domain. The estimate is obtained via a generalized… (More)

We consider the nonparametric density estimation problem for a quantity of interest computed from solutions of an elliptic partial differential equation with randomly perturbed coefficients and data.… (More)

Computations of Marangoni convection are usually performed in twoor threedimensional domains with rigid boundaries. In two dimensions, allowing the free surface to deform can result in a solution set… (More)

Two immiscible fluid layers that are subjected to a temperature gradient perpendicular to their interface exhibit a range of behaviors that is considerably richer than for the single-fluid case. We… (More)

The steady two-dimensional laminar flow past a stationary cylinder is well known to lose stability to a periodic flow at a supercritical Hopf bifurcation point as the flow rate is increased. It is… (More)

We report the results of a numerical study of the creation of stagnation points in a rotating cylinder of uid where both endwalls are rotated. Good agreement is found with previous results where the… (More)

Matrix population models have long been used to examine and predict the fate of threatened populations. However, the majority of these efforts concentrate on long-term equilibrium dynamics of linear… (More)

Mathematical models in many fields often consist of coupled sub-models, each of which describes a different physical process. For many applications, the quantity of interest from these models may be… (More)