Mathematics

Works Published in 2012

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Displaying works 101 - 120 of 188 in total

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

2012 journal article

PARAMETER ESTIMATION AND UNCERTAINTY QUANTIFICATION FOR AN EPIDEMIC MODEL

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 9(3), 553–576.

By: A. Capaldi  n, S. Behrend, B. Berman, J. Smith, J. Wright & A. Lloyd n 

author keywords: Inverse problem; sampling methods; asymptotic statistical theory; sensitivity analysis; parameter identifiability
MeSH headings : Basic Reproduction Number / statistics & numerical data; Communicable Diseases / epidemiology; Communicable Diseases / transmission; Disease Outbreaks / statistics & numerical data; Humans; Models, Biological; Uncertainty
TL;DR: Estimation of the parameters of Susceptible-Infective-Recovered models in the context of least squares finds that estimates of different parameters are correlated, with the magnitude and sign of this correlation depending on the value of R0. (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

2012 journal article

Monodromy groups of parameterized linear differential equations with regular singularities

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 44, 913–930.

By: C. Mitschi* & M. Singer n

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

2012 journal article

Local unitary equivalence of arbitrary dimensional bipartite quantum states

PHYSICAL REVIEW A, 86(1).

By: C. Zhou *, T. Zhang*, S. Fei*, N. Jing n  & X. Li-Jost*

Contributors: C. Zhou *, T. Zhang*, S. Fei*, N. Jing n  & X. Li-Jost*

UN Sustainable Development Goal Categories
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2012 journal article

DARK SOLITONS, DISPERSIVE SHOCK WAVES, AND TRANSVERSE INSTABILITIES

MULTISCALE MODELING & SIMULATION, 10(2), 306–341.

By: M. Hoefer* & B. Ilan

author keywords: semiclassical regime; traveling waves; vortices; Bose-Einstein condensates; nonlinear topics
TL;DR: The nature of transverse instabilities of dark solitons for the (2+1)-dimensional defocusing nonlinear Schrodinger/Gross–Pitaevskii˘ (NLS/GP) equation is considered and analytically and numerically the eigenvalues of the linearized NLS/ GP equation are studied. (via Semantic Scholar)
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2012 journal article

CODES AND SHIFTED CODES

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 22(6).

By: J. Hird *, N. Jing n  & E. Stitzinger n 

Contributors: J. Hird *, N. Jing n  & E. Stitzinger n 

author keywords: Codes; tableaux; Schur functions; Bernstein operators
TL;DR: A new combinatorial model of extended codes is defined and a new algebraic structure provides a natural setting for Schur functions indexed by compositions. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2012 journal article

A Fiber Bundle Approach to the Transpositional Relations in Nonholonomic Mechanics

JOURNAL OF NONLINEAR SCIENCE, 22(4), 431–461.

By: J. Maruskin*, A. Bloch*, J. Marsden* & D. Zenkov n

author keywords: Geometric mechanics; Constrained dynamics; Variational principles
Source: Web Of Science
Added: August 6, 2018

2012 journal article

A COMPARISON OF COMPUTATIONAL EFFICIENCIES OF STOCHASTIC ALGORITHMS IN TERMS OF TWO INFECTION MODELS

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 9(3), 487–526.

By: H. Banks n, S. Hu*, M. Joyner, A. Broido, B. Canter, K. Gayvert, K. Link n

author keywords: Dynamical models; continuous time Markov chain models; stochastic simulation algorithms; Gillespie; tau-leaping; bacterial and viral infection models
MeSH headings : Algorithms; Computer Simulation / statistics & numerical data; Enterococcus / drug effects; Gram-Positive Bacterial Infections / drug therapy; Gram-Positive Bacterial Infections / epidemiology; Gram-Positive Bacterial Infections / transmission; HIV Infections / epidemiology; HIV Infections / transmission; Humans; Models, Statistical; Population Dynamics; Vancomycin Resistance
TL;DR: The numerical results suggest that the SSA is the best choice due to its simplicity and accuracy for the simpler VRE model, and with the larger and more complex HIV model, implementation and modification of tau-Leaping methods are preferred. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2012 journal article

THE DISENTANGLING NUMBER FOR PHYLOGENETIC MIXTURES

SIAM JOURNAL ON DISCRETE MATHEMATICS, 26(2), 856–859.

By: S. Sullivant*

author keywords: phylogenetics; mixture models; contingency tables; trees
TL;DR: A logarithmic upper bound for the disentangling number on unordered lists of leaf labeled trees is provided, useful for analyzing phylogenetic mixture models. (via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2012 journal article

Predicting attenuant and resonant 2-cycles in periodically forced discrete-time two-species population models

JOURNAL OF BIOLOGICAL DYNAMICS, 6(2), 782–812.

By: M. Morena * & J. Franke*

author keywords: attenuance; competition; periodic forcing; resonance; signature function
MeSH headings : Conservation of Natural Resources; Models, Biological; Periodicity; Population Dynamics; Species Specificity; Time Factors
TL;DR: This work derives signature functions for predicting the responses of two competing populations to 2-periodic oscillations in six model parameters that include the Logistic, Ricker, Beverton–Holt, and Hassell models. (via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2012 journal article

On the Relationship of Steady States of Continuous and Discrete Models Arising from Biology

BULLETIN OF MATHEMATICAL BIOLOGY, 74(12), 2779–2792.

By: A. Veliz-Cuba *, J. Arthur n, L. Hochstetler*, V. Klomps* & E. Korpi*

author keywords: Steady state; Fixed point; Discrete model; Continuous model
MeSH headings : Mathematical Concepts; Models, Biological; Nonlinear Dynamics
TL;DR: It is shown that under some conditions there is a bijection between the steady states of continuous and discrete models arising from biological systems. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2012 journal article

Modelling and optimal control of immune response of renal transplant recipients

JOURNAL OF BIOLOGICAL DYNAMICS, 6(2), 539–567.

By: H. Banks n, S. Hu n, T. Jang* & H. Kwon n

author keywords: renal transplant; human cytomegalovirus; mathematical model; optimal feedback control; state estimation; model predictive control
MeSH headings : Computer Simulation; Humans; Immunity / drug effects; Immunity / immunology; Immunosuppression Therapy; Immunosuppressive Agents / pharmacology; Infections / microbiology; Infections / virology; Kidney Transplantation / immunology; Models, Immunological; Transplantation Immunology / drug effects; Virus Activation / drug effects
TL;DR: A mathematical model is formulated to describe the immune response to both viral infection and introduction of a donor kidney in a renal transplant recipient, and a computational framework for designing adaptive optimal treatment regimes with partial observations and low-frequency sampling is developed. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2012 journal article

Lie triple derivation algebra of Virasoro-like algebra

Bulletin of the Iranian Mathematical Society, 38(1), 17–26. http://www.scopus.com/inward/record.url?eid=2-s2.0-84865502717&partnerID=MN8TOARS

By: H. Wang, N. Jing  & Q. Li

Contributors: H. Wang, N. Jing  & Q. Li

www.scopus.com
Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2012 journal article

K-CLASSES FOR MATROIDS AND EQUIVARIANT LOCALIZATION

DUKE MATHEMATICAL JOURNAL, 161(14), 2699–2723.

By: A. Fink n & D. Speyer*

Source: Web Of Science
Added: August 6, 2018

2012 journal article

Data-driven techniques to estimate parameters in the homogenized energy model for shape memory alloys

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 23(17), 1897–1920.

By: J. Crews n, R. Smith n , K. Pender n, J. Hannen n & G. Buckner  n

author keywords: Shape memory alloys; hysteresis; parameter estimation
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2012 journal article

Coarsening polyhedral complexes

Proc. Amer. Math. Soc., 140(10), 3593–3605.

By: N. Reading n 

Contributors: N. Reading n 

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

2012 journal article

Attractors for non-dissipative irrotational von Karman plates with boundary damping

JOURNAL OF DIFFERENTIAL EQUATIONS, 253(12), 3568–3609.

By: L. Bociu n  & D. Toundykov*

author keywords: Plate; Von Karman; Irrotational; Airy stress; Free boundary conditions; Boundary damping; Non-dissipative; Non-gradient; Attractor; Asymptotic smoothness
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2012 journal article

Analytic non-integrability of the Suslov problem

JOURNAL OF MATHEMATICAL PHYSICS, 53(12).

By: A. Mahdi n & C. Valls *

Source: Web Of Science
Added: August 6, 2018

2012 journal article

Viscosity Solution of Optimal Stopping Problem for Stochastic Systems with Bounded Memory

STOCHASTIC ANALYSIS AND APPLICATIONS, 30(6), 1102–1135.

By: M. Chang, T. Pang n & M. Pemy*

author keywords: Optimal stopping; Stochastic control; Stochastic functional differential equations
Source: Web Of Science
Added: August 6, 2018

2012 journal article

The homogenized energy model for characterizing polarization and strains in hysteretic ferroelectric materials: Implementation algorithms and data-driven parameter estimation techniques

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 23(16), 1869–1894.

By: Z. Hu n, R. Smith n  & J. Ernstberger*

author keywords: Actuator; ferroelectric; hysteresis; piezoelectric
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (Web of Science; OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2012 journal article

STOCHASTIC DATA CLUSTERING

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 33(4), 1214–1236.

By: C. Meyer* & C. Wessell

author keywords: cluster analysis; Markov chains; Simon-Ando theory
TL;DR: A technique for using the evolution of the system to tell us about its initial structure is developed, and this technique is used to develop an algorithm that takes the varied solutions from multiple data clustering algorithms to arrive at a singleData clustering solution. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

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