Mathematics

Works Published in 2013

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Displaying works 161 - 180 of 207 in total

Sorted by most recent date added to the index first, which may not be the same as publication date order.

2013 journal article

Isomorphism between two realizations of the Yangian Y(so(3))

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 46(7).

By: N. Jing n  & M. Liu *

Contributors: N. Jing n  & M. Liu *

Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2013 journal article

Integrable deformations in the algebra of pseudodifferential operators from a Lie algebraic perspective

THEORETICAL AND MATHEMATICAL PHYSICS, 174(1), 134–153.

By: G. Helminck*, A. Helminck n & E. Panasenko

author keywords: integrable deformation; pseudodifferential operator; Lax equation; Kadomtsev-Petviashvili hierarchy; zero-curvature relation; linearization
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Explicit pseudo-transient continuation

Pacific Journal of Optimization, 9(1), 77–91.

By: C. Kelley  & L. Liao

Source: NC State University Libraries
Added: August 6, 2018

2013 journal article

Dispersive shock waves in viscously deformable media

JOURNAL OF FLUID MECHANICS, 718, 524–557.

By: N. Lowman n & M. Hoefer n

author keywords: magma and lava flow; shock waves; solitary waves
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2013 review

A systematic review of mathematical models of mosquito-borne pathogen transmission: 1970-2010

[Review of ]. JOURNAL OF THE ROYAL SOCIETY INTERFACE, 10(81).

By: R. Reiner *, T. Perkins*, C. Barker *, T. Niu*, L. Fernando Chaves *, A. Ellis*, D. George*, A. Le Menach* ...

Contributors: R. Reiner *, T. Perkins*, C. Barker *, T. Niu*, L. Fernando Chaves *, A. Ellis*, D. George*, A. Le Menach* ...

author keywords: infectious disease dynamics; vector-borne disease; epidemiology; dengue; West Nile; filariasis
MeSH headings : Animals; Communicable Diseases / epidemiology; Communicable Diseases / transmission; Culicidae / parasitology; Culicidae / virology; Geography; Host-Pathogen Interactions; Insect Vectors / parasitology; Insect Vectors / virology; Models, Biological
TL;DR: Although the analysis illustrated a growing acknowledgement of geographical, ecological and epidemiological complexities in modelling transmission, most models during the past 40 years closely resemble the Ross–Macdonald model. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2013 journal article

TEST MODELS FOR FILTERING WITH SUPERPARAMETERIZATION

MULTISCALE MODELING & SIMULATION, 11(1), 282–308.

By: J. Harlim n & A. Majda

author keywords: superparameterization; Kalman filter; no scale separation; data assimilation
TL;DR: This paper considers the Fourier domain Kalman filter for filtering regularly spaced sparse observations of the large-scale mean variables and finds high filtering and statistical prediction skill with superpara-superparameterization. (via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Symmetric Chain Decomposition for Cyclic Quotients of Boolean Algebras and Relation to Cyclic Crystals

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2013(2), 463–473.

By: P. Hersh n & A. Schilling *

UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Simulation of Longitudinal Exposure Data with Variance-Covariance Structures Based on Mixed Models

RISK ANALYSIS, 33(3), 469–479.

By: P. Song  n, J. Xue* & Z. Li n 

author keywords: Autocorrelation; longitudinal data; mixed models; simulation; variance-covariance structure
MeSH headings : Analysis of Variance; Longitudinal Studies; Models, Theoretical
TL;DR: A new simulation method to generate longitudinal data with flexible numbers of subjects and days that generates values from numerous data sources and simulates continuous observed variables better than current data methods. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2013 journal article

Regression models with memory for the linear response of turbulent dynamical systems

Communications in Mathematical Sciences, 11(2), 481–498.

By: E. Kang  n, J. Harlim* & A. Majda*

Source: NC State University Libraries
Added: August 6, 2018

2013 journal article

Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry

EXPERIMENTAL MATHEMATICS, 22(1), 38–50.

By: D. Bates*, J. Hauenstein n, T. McCoy*, C. Peterson* & A. Sommese*

author keywords: 65H10; 68W30; 14Q99; witness set; generic point; homotopy continuation; numerical algebraic geometry; numerical irreducible decomposition; primary decomposition; algebraic set; algebraic variety; LLL
TL;DR: This article illustrates how lattice-reduction algorithms may take as input numerically approximated generic points on Z and effectively extract exact elements for each Pi. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Physics constrained nonlinear regression models for time series

NONLINEARITY, 26(1), 201–217.

By: A. Majda* & J. Harlim n

UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
13. Climate Action (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Field Cage Studies and Progressive Evaluation of Genetically-Engineered Mosquitoes

PLOS NEGLECTED TROPICAL DISEASES, 7(1).

By: L. Facchinelli *, L. Valerio *, J. Ramsey *, F. Gould n , R. Walsh n, G. Bond*, M. Robert  n, A. Lloyd n  ...

MeSH headings : Aedes / genetics; Aedes / physiology; Animals; Dengue / prevention & control; Disease Vectors; Female; Flight, Animal; Male; Organisms, Genetically Modified; Pest Control, Biological / methods; Sexual Behavior
TL;DR: The results indicate that OX3604C may not be effective in large-scale releases of genetically-engineered mosquitoes, and a strain with the same transgene that is not encumbered by a large mating disadvantage, however, could have improved prospects for dengue prevention. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2013 journal article

Coupled oscillations of deformable spherical-cap droplets. Part 2. Viscous motions

JOURNAL OF FLUID MECHANICS, 714, 336–360.

By: J. Bostwick n & P. Steen *

author keywords: bubble dynamics; capillary flows; drops
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Coupled oscillations of deformable spherical-cap droplets. Part 1. Inviscid motions

JOURNAL OF FLUID MECHANICS, 714, 312–335.

By: J. Bostwick n & P. Steen *

author keywords: bubble dynamics; capillary flows; drops
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Assimilating irregularly spaced sparsely observed turbulent signals with hierarchical Bayesian reduced stochastic filters

JOURNAL OF COMPUTATIONAL PHYSICS, 235, 143–160.

By: K. Brown n & J. Harlim n

author keywords: Hierarchical Bayesian reduced stochastic filter; Mean Stochastic Model; Data assimilation; Filtering interpolated data
TL;DR: This paper considers a practical filtering approach for assimilating irregularly spaced, sparsely observed turbulent signals through a hierarchical Bayesian reduced stochastic filtering framework and finds that the filtered estimates with ordinary kriging are superior to those with linear interpolation when observation networks are not too sparse. (via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
14. Life Below Water (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2013 journal article

The role of additive and multiplicative noise in filtering complex dynamical systems

By: G. Gottwald * & J. Harlim n

author keywords: data assimilation; covariance inflation; stochastic parametrization; additive noise; multiplicative noise; model error
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Stimulus features, resetting curves, and the dependence on adaptation

JOURNAL OF COMPUTATIONAL NEUROSCIENCE, 34(3), 505–520.

By: J. Arthur n, S. Burton * & G. Ermentrout *

author keywords: Spike-triggered covariance; Neural oscillator; Phase resetting curve; Perturbation; Adaptation
MeSH headings : Action Potentials / physiology; Adaptation, Physiological / physiology; Animals; Biophysics; Computer Simulation; Models, Neurological; Neurons / physiology; Time Factors
TL;DR: A formula is derived that relates the spike-triggered covariance (STC) to the phase resetting curve (PRC) of a neural oscillator to show how changes in the shape of the PRC alter the sensitivity of the neuron to different stimulus features, which are the eigenvectors of the STC. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Spreading and bistability of droplets on differentially heated substrates

JOURNAL OF FLUID MECHANICS, 725, 566–587.

By: J. Bostwick n

author keywords: drops and bubbles; interfacial flows (free surface); thermocapillarity
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Soliton cellular automaton associated with D-n((1))-crystal B-2,B-s

JOURNAL OF MATHEMATICAL PHYSICS, 54(4).

By: K. Misra n & E. Wilson  n

Source: Web Of Science
Added: August 6, 2018

2013 journal article

Simple and exact formula for minimum loop length in Ate (i) pairing based on Brezing-Weng curves

DESIGNS CODES AND CRYPTOGRAPHY, 67(2), 271–292.

By: H. Hong n , E. Lee *, H. Lee * & C. Park *

author keywords: Pairing-based cryptosystem; Elliptic curves; Miller algorithm
TL;DR: It will turn out that the formula depends only on essentially two parameters, providing freedom to choose the other parameters to address the design issues other than minimizing the loop length. (via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions (OpenAlex)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

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