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We perform linear stability calculations for horizontal bilayers of a two-component fluid that can undergo a phase transformation, taking into account both buoyancy effects and thermocapillary effects in the presence of a vertical temperature gradient
Daniel M. Anderson, Geoffrey B. McFadden, Sam R. Coriell, Bruce Murray
We consider a model for the solidification of an ideal ternary alloy in a mushy layer that incorporates the effects thermal and solutal diffusion, convection and solidification. Our results reveal that although the temperature and solute fields are
We propose a novel procedure for the analysis of key comparison data. The goal of the procedure is to detect biases in the reported measurement results which are not accounted for by quoted uncertainties. A fixed effects bias model is employed which
The state of knowledge concerning a quantity about which scant specific information is available is often represented by a rectangular probability distribution on some interval (Z1, Z2) specified by scientific judgment. Often, the end-points Z1 and Z2 are
The NSTAB code solves differential equations in conservation form, and the TRAN test particle code tracks guiding center orbits in a fixed background, to provide simulations of equilibrium, stability, and transport in tokamaks and stellarators. These codes
This report summarizes the technical work of the Mathematical and Computational Sciences Division (MCSD) of NIST s Information Technology Laboratory. Part I (Overview) provides a high-level overview of the Division s activities, including highlights of
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