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Generalized Linnik processes and associated logarithmic diffusion equations can be constructed by appropriate Bochner randomization of the time variable in Brownian motion and the related heat conduction equation. Remarkably, generalized Linnik
Raghu N. Kacker, David R. Kuhn, James F. Lawrence, Wenhua Wang, Yu Lei, Sreedevi Sampath
Modeling the navigation structure of a dynamic web application is a challenging task because of the presence of dynamic pages. In particular, there are two problems to be dealt with: (1) the page explosion problem, i.e., the number of dynamic pages may be
Andrew C. Reid, Rhonald Lua, R E. Garcia, Valerie R. Coffman, Stephen A. Langer
OOF2 is a program for computing the properties and behavior of material microstructures, beginning with an image of the microstructural geometry. OOF2 uses finite elements, but is designed to be used by materials scientists with little or no finite element
David E. Gilsinn, Bruce R. Borchardt, Amelia Tebbe
Lung cancer is a disease of uncontrolled cell growth in tissues of the lung. Computed tomography (CT) shows promise in detecting lung cancers at earlier, more operable stages, when survival is better. CT scans generate multiple 2-D slice images of the lung
We study the complexity of representing an array on a Pure Pointer Machine (PPM) or a pointer machine without arithmetic capabilities. In particular, we show that lower bounds in access time for information retrieval on a PPM arise from two different
Runs of the NSTAB equilibrium and stability code show there are many 3D solutions of the advanced tokamak problem subject to axially symmetric boundary conditions. These numerical simulations based on mathematical equations in conservation form predict
Geoffrey B. McFadden, Christopher Smith, Barbara A. Fink, Jason J. Nichols, Richard J. Braun
The purpose of this study is to investigate the origin of the tear film thinning between blinks, which can lead to tear film breakup and ocular surface damage. Two mechanisms of thinning are considered: "tangential flow" of the tear film along the surface
Rust and Thijsse have shown that global annual average temperature anomalies T(t i) vary linearly with atmospheric CO 2 concentrations c(t i). The c(t i) can be related to man-made CO 2 emissions F(t i) by a linear regression model whose solution vector
After the Gaussian distribution, the probability distribution most commonly used in evaluating uncertainty in measurement is the rectangular distribution. When the mid-point of a rectangular distribution is fixed but the half-width is uncertain and the
We have used tensor product B-spline grids to develop accurate plots that wnhance the understanding of high level mathematical functions described in the National Institute of Standards and Technology (NIST) Digital Library of Mathematical Functions. The
Polynomially-large ground-state energy gaps are rare in many-body quantum systems, but required for adiabatic quantum computing. We show analytically that the gap is generically polynomially-large for quadratic fermionic Hamiltonians, first considered by
We introduce a solver and preconditioning technique based on Domain Decomposition and the Fast Diagonalization Method that can be applied to tensor product based discretizations of the steady convection-diffusion equation. The method is based on iterative