Using a technique for constructing analytic expressions for discrete solutions to the convection-diffusion equation, we examine and characterize the effects of upwinding strategies on solution quality. In particular, for grid-aligned flow and discretization based on bilinear finite elements with streamline upwinding, we show precisely how the amount of upwinding included in the discrete operato...

— We develop the relative theory of reductive group schemes, using dynamic techniques and algebraic spaces to streamline the original de-

Currently, there are no methods of visual analysis for ensemble vector fields (EVF) that provide identification of flow trends and general flow similarity over the extent of Lagrangian transport across ensemble members. Finite-time Variance Analysis (FTVA) provides flow structure information only on particle distributions at the termination of streamline integration. In this paper, we first pre...

The simulator is an R package that streamlines the process of performing simulations by creating a common infrastructure that can be easily used and reused across projects. Methodological statisticians routinely write simulations to compare their methods to preexisting ones. While developing ideas, there is a temptation to write “quick and dirty” simulations to try out ideas. This approach of r...

Introduction Diffusion tractography has become an important method for assessing white matter (WM) structure. Depending on the application, the large number of streamlines typically produced by the tracking algorithm may make the dataset difficult to handle. As there will be many streamlines corresponding to each anatomical WM tract, it is often advantageous to group them into clusters in which...