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We discuss the use of tensor product B-spline meshes to design accurate three dimensional graphs of high level mathematical functions for the National Institute of Standards and Technology (NIST) Digital Library of Mathematical Functions. The graph data is
Sohyoung Kim, Mirit I. Aladjem, Geoffrey B. McFadden, Kurt W. Kohn
Tumor suppressor protein p53 is negatively regulated by two structurally homologous proteins, Mdm2 and MdmX. In contrast to Mdm2, MdmX lacks ubiquitin ligase activity. Although the essential interactions of MdmX are known, it is not clear how they function
Over the last thirty years, much research has been done on the development of failure event databases and fatigue modeling of crack growth in pressure vessels and piping. According to a USNRC report (NUREG/CR6674, 2000), results of a fatigue crack growth
We derive a model of congestion control where the trade-off between utility and path diversity can be investigated. In a network where there can be multiple routes between locations, each source is assigned a route according to a random allocation scheme
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
David E. Gilsinn, Bruce R. Borchardt, Amelia Tebbe
The volumes of two industrially molded non-metallic artifacts were estimated using surface data obtained by a coordinate measuring machine. A tensor product of B-splines was used to model the probed data points on the surface and the Divergence Theorem was
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
Judith E. Terrill, William L. George, Terence J. Griffin, John G. Hagedorn, John T. Kelso, Thomas M. Olano, Adele P. Peskin, Steven G. Satterfield, James S. Sims, Jeffrey W. Bullard, Joy P. Dunkers, Nicos Martys, Agnes A. O'Gallagher, Gillian Haemer
We describe a method for creating a visual laboratory to interactively measure and analyze scientific data. We move the normal activities that scientists perform to understand their data into the visualization environment. The visualization environment is
This paper introduces various notion of k-locality of stabilizer codes inherited from the associated stabilizer groups. A choice of generators for the group leads to a Hamiltonian with the code in its groundspace, while a Hamiltonian holding the code in
Nonlinear time delay differential equations are well known to have arisen in models in physiology, biology, and population dynamics. They have also arisen in models of metal cutting processes. Machine tool chatter, from a process called regenerative
Wenhua Wang, Sreedevi Sampath, Yu Lei, Raghu N. Kacker
Web applications often use dynamic pages that interact with each other by accessing shared objects, e.g., session objects. Interactions between dynamic pages need to be carefully tested, as they may give rise to subtle faults that cannot be detected by