Works Published in 2015
Displaying works 181 - 200 of 205 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2015 journal article
Algebraic geometrization of the Kuramoto model: Equilibria and stability analysis
CHAOS, 25(5).
TL;DR:
This work uses numerical methods to find all of the equilibria for various choices of coupling constants K, natural frequencies, and on different graphs and analyzes the stability of each computed equilibrium as well as the configuration of angles.
(via Semantic Scholar)
arxiv.org (repository)
Source: Web Of Science
Added: August 6, 2018
2015 article
A modular approach to intensity-modulated arc therapy optimization with noncoplanar trajectories
Papp, D., Bortfeld, T., & Unkelbach, J. (2015, July 7). PHYSICS IN MEDICINE AND BIOLOGY, Vol. 60, pp. 5179–5198.
author keywords: arc therapy (VMAT); optimization; noncoplanar radiotherapy; 4pi; treatment planning
MeSH headings : Algorithms; Glioblastoma / surgery; Humans; Lung Neoplasms / surgery; Radiosurgery / methods; Radiosurgery / standards; Radiotherapy Dosage; Radiotherapy Planning, Computer-Assisted / methods; Radiotherapy, Intensity-Modulated / methods; Radiotherapy, Intensity-Modulated / standards
TL;DR:
The approach is demonstrated using two particularly challenging cases, where the large number of angles utilized by isocentric noncoplanar VMAT plans can help improve dose conformity, homogeneity, and organ sparing simultaneously using the same beam trajectory length and delivery time as a coplanarVMAT plan.
(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
2015 journal article
Irreducible projective characters of wreath products
Proceedings of the American Mathematical Society, 143(3), 1015–1026.
Sources: NC State University Libraries, ORCID
Added: August 6, 2018
2015 journal article
FINITE DIFFERENCE APPROXIMATIONS FOR MEASURE-VALUED SOLUTIONS OF A HIERARCHICALLY SIZE-STRUCTURED POPULATION MODEL
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 12(2), 233–258.
author keywords: Hierarchically size-structured population model; measure-valued solutions; finite-difference approximations; convergence analysis
MeSH headings : Algorithms; Computer Simulation; Finite Element Analysis; Humans; Models, Statistical; Population Density; Population Dynamics; Time Factors
TL;DR:
A first order finite difference scheme to compute the measure-valued solution of the quasilinear hierarchically size-structured population model, which shows that solutions to this model can become singular in finite time even if all the individual parameters are smooth.
(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
2015 journal article
Existence and dynamics of quasilinear parabolic systems with time delays
JOURNAL OF DIFFERENTIAL EQUATIONS, 258(9), 3248–3285.
author keywords: Parabolic system with time delays; Degenerate reaction-diffusion equations; Global existence and positive quasisolutions; Asymptotic behavior and attractors; Predator-prey models
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2015 journal article
A computational framework of gradient flows for general linear matrix equations
NUMERICAL ALGORITHMS, 68(1), 121–141.
author keywords: Linear matrix equation; Adjoint operator; Least squares; Generalized normal equation; Gradient flow; Low-precision ODE integrator
TL;DR:
The flow approach has the advantages of being straightforward for implementation, uniform in theory, versatile in application, working directly with the original sizes without Kronecker vectorization, avoiding inversion or factorization, and being easy for convergence analysis.
(via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2015 review
Optimization approaches to volumetric modulated arc therapy planning
[Review of ]. MEDICAL PHYSICS, 42(3), 1367–1377.
author keywords: radiotherapy; treatment plan optimization; VMAT
MeSH headings : Algorithms; Humans; Radiotherapy Planning, Computer-Assisted / methods; Radiotherapy, Intensity-Modulated
TL;DR:
Different approaches to VMAT optimization, including arc sequencing methods, extensions of direct aperture optimization, and direct optimization of leaf trajectories are reviewed, and their advantages and limitations are outlined and recommendations for improvements are discussed.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2015 journal article
On the data-driven inference of modulatory networks in climate science: an application to West African rainfall
NONLINEAR PROCESSES IN GEOPHYSICS, 22(1), 33–46.
UN Sustainable Development Goal Categories
13. Climate Action
(Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2015 journal article
Model comparison tests to determine data information content
APPLIED MATHEMATICS LETTERS, 43, 10–18.
author keywords: Ordinary least squares; Model comparison in inverse problems; Information content
TL;DR:
In the context of inverse or parameter estimation problems, the use of statistically based model comparison tests is demonstrated in several examples of practical interest interested in questions related to information content of a particular given data set and whether the data will support a more complicated model to describe it.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2015 journal article
Continuity of the Perron root
LINEAR & MULTILINEAR ALGEBRA, 63(7), 1332–1336.
author keywords: nonnegative matrices; Perron-Frobenius theory; Perron root; 1502; 15B48; 15A18
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2015 journal article
Bosonizations of (sl)over-cap(2) and Integrable Hierarchies
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 11.
author keywords: affine Kac-Moody algebra; Casimir element; Friedan-Martinec-Shenker bosonization; lattice vertex algebra; Virasoro algebra; Wakimoto realization
Source: Web Of Science
Added: August 6, 2018
2015 journal article
An algebraic method for constructing stable and consistent autoregressive filters
JOURNAL OF COMPUTATIONAL PHYSICS, 283, 241–257.
author keywords: Autoregressive filter; Kalman filter; Parameter estimation; Model error
TL;DR:
An algebraic method to construct stable and consistent univariate autoregressive (AR) models of low order for filtering and predicting nonlinear turbulent signals with memory depth finds that the proposed AR models produce significantly more accurate short-term predictive skill and comparable filtering skill relative to the linear regression-based AR models.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action
(Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2015 journal article
USING WEATHER FORECASTS TO HELP MANAGE MENINGITIS IN THE WEST AFRICAN SAHEL
BULLETIN OF THE AMERICAN METEOROLOGICAL SOCIETY, 96(1), 103–115.
TL;DR:
Weather acts alongside a complex set of environmental, social, and economic drivers, and a complementary investigation of local and regional knowledge, attitudes, and practices suggested several additional interventions to manage meningitis.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2015 journal article
Subresultants, Sylvester sums and the rational interpolation problem
JOURNAL OF SYMBOLIC COMPUTATION, 68, 72–83.
author keywords: Rational interpolation; Cauchy interpolation; Osculatory interpolation; Rational Hermite interpolation; Subresultants; Sylvester sums
TL;DR:
A solution for the classical univariate rational interpolation problem by means of (univariate) subresultants is presented, giving explicit formulas for the solution in terms of symmetric functions of the input data, generalizing the well-known formulas for Lagrange interpolation.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2015 journal article
Overdetermined Weierstrass iteration and the nearest consistent system
THEORETICAL COMPUTER SCIENCE, 562, 346–364.
author keywords: Approximate GCD; Overdetermined systems; Nearest consistent system; Weierstrass-Durand-Kerner method
TL;DR:
A generalization of the Weierstrass iteration for overdetermined systems of equations and it is proved that the proposed method is the Gauss-Newton iteration to find the nearest system which has at least k common roots and which is obtained via a perturbation of prescribed structure.
(via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2015 journal article
Optimization of Klystron Designs Using Deterministic Sampling Methods
IEEE Transactions on Electron Devices, 62(3), 1032–1036.
author keywords: Design optimization; klystrons; numerical simulation; sampling methods
TL;DR:
A method is presented for optimizing the design of klystron circuits that automates the selection of cavity positions, resonant frequencies, quality factors, R/Q and other circuit parameters to maximize the efficiency with required gain.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, Crossref
Added: August 6, 2018
2015 journal article
Imaginary Verma modules and Kashiwara algebras for U-q((g)over-cap)
Journal of Algebra, 424, 390–415.
Source: NC State University Libraries
Added: August 6, 2018
2015 journal article
Identifiability of 3-class Jukes-Cantor mixtures
ADVANCES IN APPLIED MATHEMATICS, 64, 89–110.
author keywords: Phylogenetic mixture models; Identifiability; Tropical geometry; Disentangling number
TL;DR:
The proof uses ideas from algebraic statistics, in particular: finding phylogenetic invariants that separate the varieties associated to different triples of trees; computing dimensions of the resulting phylogenetic varieties; and using the disentangling number to reduce to trees with a small number of leaves.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2015 journal article
Estimation of time-varying mortality rates using continuous models for Daphnia magna
APPLIED MATHEMATICS LETTERS, 44, 12–16.
author keywords: Structured population model; Leslie matrix model; Sinko-Streifer model; Daphnia magna; Time-dependent mortality rate
TL;DR:
It is found that a continuous differential equation model with a time-varying mortality rate was the most accurate model for describing the authors' experimental D. magna survival data.
(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
2015 journal article
Dynamics of Lotka-Volterra cooperation systems governed by degenerate quasilinear reaction-diffusion equations
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 23, 47–60.
author keywords: Lotka-Volterra cooperation system; Degenerate quasilinear equations; Positive minimal and maximal solutions; Asymptotic behavior and stability; Upper and lower solutions
Source: Web Of Science
Added: August 6, 2018
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