Mathematics

Works Published in 2009

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Displaying works 141 - 160 of 170 in total

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

2009 journal article

Nearest multivariate system with given root multiplicities

JOURNAL OF SYMBOLIC COMPUTATION, 44(6), 606–625.

By: S. Pope n & A. Szanto n 

author keywords: Approximate polynomial systems; Multiple roots; Multiplicity structure; Weierstrass iteration
TL;DR: A symbolic-numeric technique to find the closest multivariate polynomial system to a given one which has roots with prescribed multiplicity structure and a simplified version of the iteration function analogously to the classical Weierstrass iteration, which allows a component-wise expression, and thus reduces the computational cost of each iteration. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2009 journal article

Efficient and Generalized Pairing Computation on Abelian Varieties

IEEE TRANSACTIONS ON INFORMATION THEORY, 55(4), 1793–1803.

By: E. Lee n, H. Lee * & C. Park *

author keywords: Ate pairing; elliptic curves; hyperelliptic curves; pairing based cryptography; Tate pairing
TL;DR: Using the R-ate pairing, the loop length in Miller's algorithm can be as small as log (r1/phi(k)) some pairing-friendly elliptic curves which have not reached this lower bound. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2009 journal article

Dynamical behaviour of a discrete selection-migration model with arbitrary dominance

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 15(4), 371–385.

By: J. Selgrade n, J. Bostic n & J. Roberds*

author keywords: natural selection; immigration; transgene; dominance; attractor
TL;DR: The existence and uniqueness of a polymorphic genetic equilibrium is proved under a general assumption about dominance in fitnesses and conditions are found which guarantee the existence of and determine the location of the global attractor for this model. (via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2009 journal article

A high-order numerical method for the nonlinear Helmholtz equation in multidimensional layered media

Journal of Computational Physics, 228(10), 3789–3815.

By: G. Baruch*, G. Fibich* & S. Tsynkov n 

author keywords: Nonlinear optics; Kerr nonlinearity; Inhomogeneous medium; Material discontinuities; Discontinuous coefficients; Layered medium; Nonparaxiality; Forward scattering; Backscattering; (Narrow) solitons; Paraxial approximation; Nonlinear Schrodinger equation; Arrest of collapse; Finite-difference approximation; Compact scheme; High-order method; Artificial boundary conditions (ABCs); Two-way ABCs; Traveling waves; Complex valued solutions; Frechet differentiability; Newton's method
TL;DR: The first ever evidence that the singularity of the solution indeed disappears in the scalar NLH model that includes the nonparaxial effects is provided, which enables simulation of the wavelength-width spatialsolitons, as well as of the counter-propagating solitons. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2009 journal article

Tannakian Categories, Linear Differential Algebraic Groups, and Parametrized Linear Differential Equations

TRANSFORMATION GROUPS, 14(1), 195–223.

By: A. Ovchinnikov n

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

2009 journal article

THE ESTIMATION OF THE EFFECTIVE REPRODUCTIVE NUMBER FROM DISEASE OUTBREAK DATA

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 6(2), 261–282.

By: A. Cintron-Arias n, C. Castillo-Chavez*, L. Bettencourt *, A. Lloyd*  & H. Banks n

author keywords: effective reproductive number; basic reproduction ratio; reproduction number; R; R(t); R-0; parameter estimation; generalized least squares; residual plots
MeSH headings : Algorithms; Biometry / methods; Communicable Diseases / epidemiology; Disease Outbreaks / statistics & numerical data; Disease Transmission, Infectious / statistics & numerical data; Humans; Prevalence; Proportional Hazards Models
TL;DR: A single outbreak susceptible-infected-recovered (SIR) model and corresponding estimation procedures for the effective reproductive number R(t) are considered and the estimation of the underlying SIR parameters with a generalized least squares estimation technique is discussed. (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

2009 journal article

On coloured constant composition designs

DISCRETE MATHEMATICS, 309(8), 2410–2416.

By: M. Greferath * & R. Therkelsen n

author keywords: Coloured design; Ring-linear code; Weight function; Finite ring geometry
TL;DR: This paper deals with a particular class of coloured designs: the incidence vectors of all blocks of these designs have the same composition, and the same is true for the incidence vector of all points. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2009 journal article

Experimental Validation of the Active Noise Control Methodology Based on Difference Potentials

AIAA Journal, 47(4), 874–884.

By: H. Lim *, S. Utyuzhnikov *, Y. Lam*, A. Turan *, M. Avis *, V. Ryaben'kii*, S. Tsynkov n 

TL;DR: It has been demonstrated that while preserving the wanted sound, the developed approach can cancel out the unwanted noise and the volumetric noise cancellation offered by the proposed methodology along with leaving theWant sound unchanged is a unique feature compared to other techniques available in the literature. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2009 journal article

A Shearlet Approach to Edge Analysis and Detection

IEEE TRANSACTIONS ON IMAGE PROCESSING, 18(5), 929–941.

By: S. Yi n, D. Labate n, G. Easley* & H. Krim n

author keywords: Curvelets; edge detection; feature extraction; shearlets; singularities; wavelets
TL;DR: This paper proposes a novel approach based on the shearlet transform: a multiscale directional transform with a greater ability to localize distributed discontinuities such as edges, which is useful to design simple and effective algorithms for the detection of corners and junctions. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2009 journal article

A model for HCMV infection in immunosuppressed patients

MATHEMATICAL AND COMPUTER MODELLING, 49(7-8), 1653–1663.

By: G. Kepler*, H. Banksa, M. Davidian*  & E. Rosenberg*

author keywords: HCMV; CMV; Herpes; Transplantation; Mathematical model; Immunosuppression
TL;DR: Simulations with the approximated parameter values demonstrates that the model is capable of describing primary, latent, and secondary (reactivated) HCMV infection. (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

2009 journal article

Real-Time Calculation of Switching Angles Minimizing THD for Multilevel Inverters With Step Modulation

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 56(2), 285–293.

By: Y. Liu  n, H. Hong n  & A. Huang n

author keywords: Multilevel inverter; optimal pulsewidth modulation (PWM); power conversion
TL;DR: A novel real-time algorithm for calculating switching angles that minimizes total harmonic distortion (THD) for step modulation is proposed and a mathematical proof that the output voltage has the minimum THD is given. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2009 conference paper

Fourth order schemes for time-harmonic wave equations with discontinuous coefficients

Communications in Computational Physics, 5(2-4), 442–455.

By: G. Baruch, G. Fibich, S. Tsynkov  & E. Turkel

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

2009 journal article

ESTIMATION AND IDENTIFICATION OF PARAMETERS IN A LUMPED CEREBROVASCULAR MODEL

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 6(1), 93–115.

By: S. Pope n, L. Ellwein*, C. Zapata, V. Novak*, C. Kelley*  & M. Olufsen n

author keywords: cardiovascular modeling; systemic resistance; cerebrovascular resistance; parameter estimation; sensitivity analysis; subset selection
MeSH headings : Adult; Aged; Blood Flow Velocity / physiology; Blood Pressure / physiology; Brain / blood supply; Brain / physiology; Cerebral Arteries / physiology; Cerebrovascular Circulation / physiology; Computer Simulation; Female; Humans; Male; Middle Aged; Models, Cardiovascular; Ventricular Function / physiology; Young Adult
TL;DR: The method discussed in this study provides a new methodology to extract clinical markers that cannot easily be assessed noninvasively by using nonlinear optimization combined with sensitivity analysis and subset selection. (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

2009 conference paper

Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods

Communications in Computational Physics, 5(2-4), 565–581.

By: A. Chertock  & A. Kurganov

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

2009 conference paper

Analysis and computation for a fluid mixture model

Communications in Computational Physics, 5(2-4), 620–634.

By: Q. Jiang, Z. Li  & S. Lubkin 

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

2009 journal article

Stability criteria for differential-algebraic equations with multiple delays and their numerical solutions

APPLIED MATHEMATICS AND COMPUTATION, 208(2), 397–415.

By: S. Campbell n  & V. Linh

author keywords: Delay differential-algebraic equation; Multiple delays; Asymptotic stability; Regular pencil; Numerical solution
TL;DR: First, a sufficient condition for delay-independent stability is given, after characterizing the coefficient matrices that satisfy this stability condition, some practical checkable criteria for asymptotic stability are proposed. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2009 journal article

Principal realization of the Yangian Y(gl,(n))

JOURNAL OF MATHEMATICAL PHYSICS, 50(1).

By: C. Bai *, M. Ge* & N. Jing n 

Contributors: C. Bai *, M. Ge* & N. Jing n 

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

2009 journal article

Non-linear Lie conformal algebras with three generators

SELECTA MATHEMATICA-NEW SERIES, 14(2), 163–198.

By: B. Bakalov n & A. Sole *

author keywords: Vertex algebra; affine Kac-Moody algebra; non-linear Lie conformal algebra
Source: Web Of Science
Added: August 6, 2018

2009 journal article

Combining Trust-Region Techniques and Rosenbrock Methods to Compute Stationary Points

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 140(2), 265–286.

By: X. Luo *, C. Kelley n , L. Liao * & H. Tam*

author keywords: Trust-region methods; Unconstrained optimization; Rosenbrock method; Gradient system; Ordinary differential equations
TL;DR: A trust-region technique to select the time steps of a second-order Rosenbrock method for a special initial-value problem, namely, a gradient system obtained from an unconstrained optimization problem. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2009 journal article

Adaptive techniques for the MRAC, adaptive parameter identification, and on-line fault monitoring and accommodation for a class of positive real infinite dimensional systems

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 23(2), 193–215.

By: M. Demetriou *, K. Ito n & R. Smith n 

author keywords: positive real; structured perturbations; infinite dimensional systems; adaptive observers; MRAC; fault detection and accommodation
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

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