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Mathematics & Statistics

Modeling & simulation research

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Displaying 326 - 350 of 489

Effective and Scalable Uncertainty Evaluation for Large-Scale Complex System Applications

December 7, 2014

Author(s)

Kevin L. Mills, James J. Filliben, Junfei Xie, Yan Wan, Yi Zhou, Yu Lei

Effective uncertainty evaluation is a critical step toward real-time and robust decision-making for complex systems in uncertain environments. A Multivariate Probabilistic Collocation Method (M-PCM) was developed to effectively evaluate system uncertainty

Adaptive Restructuring of Radial Basis Functions Using Integrate-and-Fire Neurons

December 6, 2014

Author(s)

Jeremy A. Marvel

This paper proposes a neurobiology-based extension of integrate-and-fire models of Radial Basis Function Neural Networks (RBFNN) that adapts to novel stimuli by means of dynamic restructuring of the network's structural parameters. The new architecture

A material model and its application to simulate the composite material structure of mortar and concrete using real-shape particles

November 30, 2014

Author(s)

Edward Garboczi, Zhiwei Qian, Erik Schlangen, Guang Ye

The mesostructures of mortar and concrete can be represented by a model consisting of particles (sand, gravel) embedded in a cement paste matrix. Traditionally, spheres have been used to represent aggregates because of their simplicity, although the

Molecular dynamics simulation of thermal ripples in graphene with bond-order-informed harmonic constraints

November 7, 2014

Author(s)

Alexander Y. Smolyanitsky

We describe the results of atomistic molecular dynamics simulations of thermal rippling in graphene, obtained with a simple, low computational cost, harmonic constraint model. The constraint stiffness values are calculated directly from the bond order

A geometric description of nonreciprocity in coupled two-mode systems

October 16, 2014

Author(s)

Leonardo M. Ranzani, Jose A. Aumentado

We explore the concept of nonreciprocity in coupled two-mode systems using a geometric mapping to the Poincaré sphere. From this perspective, we recast the requirements for nonreciprocity in terms of rotation and inversion symmetry arguments for the vector

Expansions for a fundamental solution of Laplace's equation on R 3 in 5-cyclidic harmonics

October 14, 2014

Author(s)

Howard S. Cohl, Hans Volkmer

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, second and

Determining Relative Importance and Best Settings for Genetic Algorithm Control Parameters

September 25, 2014

Author(s)

Kevin L. Mills, James J. Filliben, Andrea Haines

We intend to use a classic genetic algorithm (GA) to steer a population of cloud-computing simulators into behavioral directions that reveal degraded performance and system collapse. Such a method could serve as a design tool, empowering system engineers

Foundations of modeling in cryobiology I: Concentration, Gibbs energy, and chemical potential relationships

September 21, 2014

Author(s)

Daniel M. Anderson, James Benson, Anthony J. Kearsley

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

Online Supplemental Material for 'Foundations of modeling in cryobiologyI: Concentration, Gibbs energy, and chemical potential relationships'

September 21, 2014

Author(s)

Daniel M. Anderson, James Benson, Anthony J. Kearsley

The following contains supplemental online material related to alternate forms for the Gibbs Free Energy and associated chemical potential gradients.

A Simplified Approach to Determining Resolutions for Optical, Ion and Electron Microscope Images

August 26, 2014

Author(s)

Alexandra E. Curtin, Ann C. Chiaramonti Debay, Aric W. Sanders

Stochastic Regression Modeling of Chemical Spectra

August 14, 2014

Author(s)

Anthony J. Kearsley, William E. Wallace, Yutheeka Gadhyan

A stochastic regression method has been developed that decomposes chemical spectra into separate contributions from signal and from noise. The numerical results of regressing in this way on sample spectra are presented. The results suggest that this

Colored Noise and Regularization Parameter Selection for Waveform Metrology

July 8, 2014

Author(s)

Andrew M. Dienstfrey, Paul D. Hale

We study six regularization parameter selection algorithms applied to deconvolution problems relevant for characterization of high-speed communication measurement systems. In particular we investigate the performance of these selectors in the presence of

From atoms to steps: the microscopic origins of crystal growth.

July 1, 2014

Author(s)

Paul N. Patrone, T L. Einstein, Dionisios Margetis

Elucidating the Effects of Adsorbent Flexibility on Fluid Adsorption Using Simple Models and Flat-Histogram Sampling Methods

June 24, 2014

Author(s)

Vincent K. Shen, Daniel W. Siderius

Using flat-histogram Monte Carlo methods, we investigate the adsorptive behavior of the square-well fluid in two simple slit-pore- like models intended to capture fundamental characteristics of flexible adsorbent materials. The models require thermodynamic

The stability of milling: an impact oscillator with delay

June 20, 2014

Author(s)

Matthew A. Davies, Tony Schmitz, Timothy J. Burns

A Velocity Divergence Constraint for Large-Eddy Simulation of Low-Mach Flows

June 17, 2014

Author(s)

Randall J. McDermott

The velocity divergence (rate of fluid volumetric expansion) is a flow field quantity of fundamental importance in low-Mach flows. It directly affects the local mass density and therefore the local temperature through the equation of state. In this paper

A study of shear banding in polymer solutions

June 4, 2014

Author(s)

Michael E. Cromer, Glenn Fredrickson, Gary Leal

In a recent letter (Cromer et al. Phys. Fluids 2013) we showed, for the first time, the existence of a steady shear-banded velocity profile for a polymer solution with an underlying monotonic constitutive curve. The driving mechanism is the coupling of the

Distributed Deployment Algorithms for Improved Coverage in a Network of Wireless Mobile Sensors

February 1, 2014

Author(s)

Kamran Sayrafian, Vladimir V. Marbukh, Hamid Mahboubi, Kaveh Moezzi, Amir Aghdam

In this paper, sensor deployment strategies are developed for effective coverage in wireless sensor networks. In the proposed algorithms, the sensors find coverage holes within the corresponding Voronoi polygons, and then move in a proper direction to

Optimal Spread in Network Consensus Models

January 27, 2014

Author(s)

Fern Y. Hunt

Suppose we seek a set of nodes in a network that will enable the fastest spread of information in a decentralized communication environment. If communication resources are limited there are constraints on the number of nodes that can be selected. In this

Generalization and specializations of generating functions for Jacobi, Gegenbauer, Chebyshev and Legendre polynomials with definite integrals

January 15, 2014

Author(s)

Howard S. Cohl, Connor M. MacKenzie

In this paper we generalize and specialize generating functions for classical orthogonal polynomials, namely Jacobi, Gegenbauer, Chebyshev and Legendre polynomials. We derive a generalization of the generating function for Gegenbauer polynomials through

Feature Measures for the Segmentation of Neuronal Membrane using Machine Learning Algorithm

January 6, 2014

Author(s)

Afzal A. Godil, Saadia S. Iftikhar

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 high-

Connection of Kinetic Monte Carlo Model for Surfaces to Step-Continuum Theory in 1+1 Dimensions

January 1, 2014

Author(s)

Paul N. Patrone, Dionisios Margetis

The Detection of Neuronal Structures using a Patch-based Multi-features and Support Vector Machines Learning Algorithm

December 24, 2013

Author(s)

Saadia S. Iftikhar, Afzal A. Godil

In this research, we present an (semi-) automated segmentation algo-rithm using a Support Vector Machine classifier. This algorithm uses a high-dimensional feature space generated from patch-based multiple-features and a training dataset in order to detect

A comparison of methods for sketch-based 3D shape retrieval

December 13, 2013

Author(s)

Afzal A. Godil

Sketch-based 3D shape retrieval has become an important research topic in content-based 3D object retrieval. To foster this research area, two Shape Retrieval Contest (SHREC) tracks on this topic have been organized by us in 2012 and 2013 based on a small

PROCESS DESCRIPTION AND ANALYTICS FORMALISM FOR DECISION GUIDANCE IN SUSTAINABLE MANUFACTURING

November 20, 2013

Author(s)

Alexander Brodsky, Guodong Shao, Frank H. Riddick

This paper introduces NIST's Sustainable Process Analytics Formalism (SPAF) to facilitate the use of simulation and optimization technologies for decision support in sustainable manufacturing. SPAF allows formal modeling of modular, extensible, and

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