Jeffrey M. Connors

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We consider multiphysics applications from algorithmic and architectural perspectives, where ‘‘algorithmic’’ includes both mathematical analysis and computational complexity, and ‘‘architectural’’ includes both software and hardware environments. Many diverse multiphysics applications can be reduced, en route to their computational simulation, to a common(More)
There have been many numerical simulations but few analytical results of stability and accuracy of algorithms for computational modeling of fluid-fluid and fluid-structure interaction problems, where two domains corresponding to different fluids (ocean-atmosphere) or a fluid and deformable solid (blood flow) are separated by an interface. As a simplified(More)
Abstract. A model of two incompressible, Newtonian fluids coupled across a common interface is studied. The nonlinearity of the coupling condition exacerbates the problem of decoupling the fluid calculations in each subdomain, a natural parallelization strategy employed in current climate models. A specialized partitioned time stepping method is studied(More)
OBJECTIVE To determine if weight < 3rd and < 10th centile at 2 years in extremely low birthweight (ELBW) infants is associated with problems of development and motor skills, and whether this association is explained by perinatal risk status. METHODOLOGY One hundred and ninety-eight of 226 (88%) surviving ELBW infants born between January 1987 and December(More)
Two numerical algorithms are presented that couple a Boussinesq model of natural heat convection in two domains, motivated by the dynamic core of climate models. The first uses a monolithic coupling across the fluid–fluid interface. The second is a parallel implementation decoupled via a partitioned time stepping scheme with two-way communication. These new(More)
Bernstein’s inequality for Legendre polynomials Pn, as generalized by Baratella, Chow, Gatteschi, and Wong to Jacobi polynomials P n , (α, β) ∈ calR1/2 = {|α| ≤ 1/2, |β| ≤ 1/2}, is analyzed analytically and computationally with regard to validity and sharpness in larger domains Rs = {−1/2 ≤ α ≤ s,−1/2 ≤ β ≤ s}, s > 1/2. Title: Bivariate B-splines used as(More)
This report investigates a technique to calculate the distributions of discretization errors for a model of advection-diffusion-reaction with stochastic noise in problem data. The focus is on operator-split discretization methods. The error is decomposed into components due to the splitting and due to the discretization within each component. We present a(More)