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Displaying records 61 to 70 of 153 records.
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61. 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 ...

62. Fast Iterative Solver for Convection-Diffusion Systems with Spectral Elements
Topic: Modeling
Published: 10/16/2009
Authors: Aaron Lott, Howard Elman
Abstract: 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 iter ...

63. Fast Sequential Importance Sampling fo Estimate the Graph Reliability Polynomial
Topic: Modeling
Published: 11/8/2012
Authors: David G. Harris, Francis Sullivan, Isabel M Beichl
Abstract: The reliability polynomial of a graph measures the number of its connected subgraphs of various sizes. Algortihms based on sequential importance sampling (SIS) have been proposed to estimate a graph's reliahbility polynomial. We develop an improved ...

64. Feature Measures for the Segmentation of Neuronal Membrane using Machine Learning Algorithm
Topic: Modeling
Published: 1/6/2014
Authors: Afzal A Godil, Saadia S. Iftikhar
Abstract: In this paper, we present a Support Vector Machine (SVM) based pixel classifier for a semi-automated segmentation algorithm to detect neuronal membrane structures in stacks of electron microscopy images of brain tissue samples. This algorithm uses ...

65. Feature-preserved 3D Canonical Form
Topic: Modeling
Published: 7/28/2012
Authors: Afzal A Godil, Zhouhui Lian
Abstract: Abstract Measuring the dissimilarity between non-rigid objects is a challenging problem in 3D shape retrieval. One potential solution is to construct the models‰ 3D canonical forms (i.e., isometry-invariant representations in 3D Euclidean domain) on ...

66. First Variation of the General Curvature-dependent Surface Energy
Topic: Modeling
Published: 1/1/2012
Authors: Gunay Dogan, Ricardo H. Nochetto
Abstract: We consider general weighted surface energies, where the energies have the form of weighted integrals over a closed surface and the weight depends on the normal and the mean curvature of the surface. Energies of this form have applications in many ar ...

67. 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 ...

68. Fourier Expansions for a Logarithmic Fundamental Solution of the Polyharmonic Equation
Topic: Modeling
Published: 9/28/2012
Author: Howard S Cohl
Abstract: In even-dimensional Euclidean space for integer powers of the Laplacian greater than or equal to the dimension divided by two, a fundamental solution for the polyharmonic equation has logarithmic behavior. We give two approaches for developing a Fou ...

69. 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 ...

70. Fourier and Gegenbauer expansions for a fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry
Topic: Modeling
Published: 3/23/2012
Authors: Howard S Cohl, Ernie G. Kalnins
Abstract: Due to the isotropy of d-dimensional hyperbolic space, there exists a spherically symmetric fundamental solution for its corresponding Laplace-Beltrami operator. The R-radius hyperboloid model of hyperbolic geometry with R > 0 represents a Riemannian ...

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