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1. Fourier and Gegenbauer expansions for a fundamental solution of Laplace's equation in hyperspherical geometry
Topic: Modeling
Published: 2/14/2015
Authors: Howard S Cohl, Rebekah M. Palmer
Abstract: For a fundamental solution of Laplace's equation on the {I}R{/I}-radius {I}d{/I}-dimensional hypersphere, we compute the azimuthal Fourier coefficients in closed form in two and three dimensions, and give an integral representation for the higher dim ...

2. Randomized methods for rank-deficient linear systems
Topic: Modeling
Published: 2/13/2015
Authors: Josef Sifuentes, Zydrunas Gimbutas, Leslie Greengard
Abstract: We present a simple, accurate method for solving consistent, rank-deficient linear systems, with or without additional rank-completing constraints. Such problems arise in a variety of applications, such as the computation of the eigenvectors of a ma ...

3. Generalizations of generating functions for higher continuous hypergeometric orthogonal polynomials in the Askey scheme
Topic: Modeling
Published: 2/9/2015
Authors: Howard S Cohl, Hans Volkmer, Michael Baeder
Abstract: We use connection relations and series rearrangement to generalize generating functions for several higher continuous orthogonal polynomials in the Askey scheme, namely the Wilson, continuous dual Hahn, continuous Hahn, and Meixner-Pollaczek polynomi ...

4. A Decision Guidance Framework for Sustainability Performance Analysis of Manufacturing Processes
Topic: Modeling
Published: 1/10/2015
Authors: Duck Bong Kim, Seungjun Shin, Guodong Shao, Alexander Brodsky
Abstract: Life-Cycle Assessment (LCA) methods are widely used to assess the sustainability of manufacturing processes. Although it has several advantages such as systematic estimation and efficiency, it has significant limitations due to lack of functionality ...

5. The Structure of Optimal and Near Optimal Target Sets in Consensus Models
Series: Special Publication (NIST SP)
Report Number: 500-303
Topic: Modeling
Published: 12/19/2014
Author: Fern Y Hunt
Abstract: We consider the problem of identifying a subset of nodes in a network that will enable the fastest spread of information in a decentralized environment. In a model of communication based on a random walk on an undirected graph, the optimal set ov ...

Topic: Modeling
Published: 12/11/2014
Authors: Guodong Shao, Sanjay Jain, Seungjun Shin
Abstract: Manufacturing organizations are able to accumulate large amounts of plant floor production and environmental data due to advances in data collection, communications technology, and use of standards. The challenge has shifted from collecting a suffic ...

7. Expansions for a fundamental solution of Laplace's equation on R^u3^ in 5-cyclidic harmonics
Topic: Modeling
Published: 10/14/2014
Authors: Howard S Cohl, Hans Volkmer
Abstract: We derive eigenfunction expansions for a fundamental solution of Laplace's equation in three-dimensional Euclidean space in 5-cyclidic coordinates. There are three such expansions in terms of internal and external 5-cyclidic harmonics of first, seco ...

8. Foundations of modeling in cryobiology I: Concentration, Gibbs energy, and chemical potential relationships
Topic: Modeling
Published: 9/21/2014
Authors: Daniel M Anderson, James Benson, Anthony J Kearsley
Abstract: Mathematical modeling plays an enormously important role in understanding the behavior of cells, tissues, and organs undergoing cryopreservation. Uses of these models range from explanation of phenomena, exploration of potential theories of damage or ...

9. Online Supplemental Material for `Foundations of modeling in cryobiologyI: Concentration, Gibbs energy, and chemical potential relationships'
Topic: Modeling
Published: 9/21/2014
Authors: Daniel M Anderson, James Benson, Anthony J Kearsley
Abstract: The following contains supplemental online material related to alternate forms for the Gibbs Free Energy and associated chemical potential gradients.

10. A Simplified Approach to Determining Resolutions for Optical, Ion and Electron Microscope Images
Topic: Modeling
Published: 8/26/2014
Authors: Alexandra E Curtin, Ann Chiaramonti Chiaramonti Debay, Aric Warner Sanders

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