Mathematics

Works Published in 2017

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Displaying works 181 - 199 of 199 in total

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

2017 journal article

Unimodular binary hierarchical models

JOURNAL OF COMBINATORIAL THEORY SERIES B, 123, 97–125.

By: D. Bernstein n & S. Sullivant n

author keywords: Graver basis; Algebraic statistics; Log-linear models; Hierarchical models; Toric ideal
TL;DR: The main theorem provides both a construction of all unimodular binary hierarchical models and a characterization in terms of excluded minors, where the definition of a minor allows the taking of links and induced complexes. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Symmetric interpolation, Exchange Lemma and Sylvester sums

COMMUNICATIONS IN ALGEBRA, 45(8), 3231–3250.

By: T. Krick*, A. Szanto n  & M. Valdettaro*

author keywords: Subresultants; Sylvester double sums; symmetric Lagrange interpolation
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2017 journal article

A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 73(3), 404–418.

By: F. Qin*, J. Chen*, Z. Li n  & M. Cai *

author keywords: Nonconforming immersed finite element; Elasticity interface problems; Cartesian grid
TL;DR: The proposed IFE method possesses optimal approximation property for both compressible and nearly incompressible problems and is robust with respect to the shape of the interface and its location relative to the domain and the underlying mesh. (via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2017 journal article

Spin groups of super metrics and a theorem of Rogers

JOURNAL OF GEOMETRY AND PHYSICS, 111, 40–53.

By: R. Fulp n

author keywords: G(infinity)-supermanifolds; Super Riemannian metrics; Canonical forms; Local isometry groups; Super Lie groups; Conventional super Lie algebras
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Open weak CAD and its applications

JOURNAL OF SYMBOLIC COMPUTATION, 80, 785–816.

By: J. Han *, L. Dai *, H. Hong n  & B. Xia *

author keywords: Open weak CAD; Open weak delineable; CAD projection; Semi-definiteness; Copositivity
TL;DR: An algorithm for computing projection polynomials of open weak CADs is proposed to compute the intersection of projection factor sets produced by different projection orders, which significantly improves the efficiency of solving copositive problems. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2017 journal article

Normal Binary Hierarchical Models

EXPERIMENTAL MATHEMATICS, 26(2), 153–164.

By: D. Bernstein n & S. Sullivant n

author keywords: algebraic statistics; contingency tables; Hilbert basis; Groebner basis; combinatorics
TL;DR: This work studies the normality of these vector configurations including a description of operations on simplicial complexes that preserve normality, constructions of families of minimally nonnormal complexes, and computations classifying all of the normal complexes on up to six vertices. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Dynamical behavior of an epidemiological model with a demographic Allee effect

Mathematics and Computers in Simulation, 133, 311–325.

By: S. Usaini*, A. Lloyd n , R. Anguelov * & S. Garba *

author keywords: Allee effect; Threshold; Extinction; Saddle-node bifurcation
TL;DR: It is shown using susceptible–exposed–infectious (SEI) model that such mechanisms combined with disease pathogenicity have a detrimental impact on the dynamics of a population at high population level, resulting in an inevitable population crash to extinction. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Sources: Web Of Science, Crossref, ORCID
Added: August 6, 2018

2017 journal article

Algorithm for computing mu-bases of univariate polynomials

JOURNAL OF SYMBOLIC COMPUTATION, 80, 844–874.

By: H. Hong n , Z. Hough n & I. Kogan n 

Contributors: H. Hong n , Z. Hough n & I. Kogan n 

author keywords: mu-basis; Syzygy module; Polynomial vectors; Rational curves
TL;DR: A new algorithm for computing a $\mu$-basis of the syzygy module of $n$ polynomials in one variable over an arbitrary field $\mathbb{K}$, based on standard linear algebra and completely self-contained is presented. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2017 journal article

A DYNAMICAL APPROACH TO PHYTOPLANKTON BLOOMS

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 37(2), 859–878.

By: C. Jones & B. Maultsby n 

author keywords: Non-local; phytoplankton; reaction-diffusion-advection; phase space; existence and uniqueness
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
14. Life Below Water (Web of Science; OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2017 journal article

New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 9(2), 250–271.

By: J. Yan *, M. Lai*, Z. Li n  & Z. Zhang *

author keywords: Energy; momentum; mass; finite volume element method; MRLW equation
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2017 journal article

Modeling the differentiation of A- and C-type baroreceptor firing patterns

JOURNAL OF COMPUTATIONAL NEUROSCIENCE, 42(1), 11–30.

By: J. Sturdy *, J. Ottesen * & M. Olufsen n

author keywords: Baroreflex model; Mechanosensitivity; A- and C-type afferent baroreceptors; Biophysical model; Computational model
MeSH headings : Autonomic Nervous System Diseases / physiopathology; Humans; Models, Neurological; Neurons; Pressoreceptors; Synaptic Transmission
TL;DR: A comprehensive model of the afferent baroreceptor discharge built on physiological knowledge of arterial wall mechanics, firing rate responses to controlled pressure stimuli, and ion channel dynamics within the barorecept neurons is developed. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Feasibility of parameter estimation in hepatitis C viral dynamics models

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 25(1), 69–80.

By: J. Arthur n, H. Tran*  & P. Aston*

author keywords: Parameter estimation; expectation maximization; identifiability; sensitivity analysis
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2017 journal article

A numerical scheme for the early steps of nucleation-aggregation models

JOURNAL OF MATHEMATICAL BIOLOGY, 74(1-2), 259–287.

By: H. Banks n, M. Doumic * & C. Kruse *

author keywords: Polymerization; Aggregation-fragmentation models; Finite volume schemes; Adaptive grid
MeSH headings : Computer Simulation; Kinetics; Models, Chemical; Polymers / chemistry
TL;DR: This article proposes a conservative scheme, based on finite volume methods on an adaptive grid, which is capable of simulating well the early steps of the reaction as well as the later chain reactions. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2017 journal article

On classification of four-dimensional nilpotent Leibniz algebras

COMMUNICATIONS IN ALGEBRA, 45(3), 1012–1018.

By: I. Demir n, K. Misra n & E. Stitzinger n

author keywords: Classification; Leibniz algebra; nilpotency; solvability
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2017 journal article

High-order numerical schemes based on difference potentials for 2D elliptic problems with material interfaces

APPLIED NUMERICAL MATHEMATICS, 111, 64–91.

By: J. Albright*, Y. Epshteyn *, M. Medvinsky n  & Q. Xia *

author keywords: Boundary value problems; Piecewise-constant coefficients; High-order accuracy; Difference potentials; Boundary projections; Interface problems; Non-matching grids; Mixed-order; Parallel algorithms; Application to the simulation of the biological cell electropermeabilization model
TL;DR: This work considers 2D elliptic models with material interfaces and develops efficient high-order accurate methods based on Difference Potentials for such problems as partial differential equations with varying coefficients and domains with irregular geometry. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2017 journal article

A dynamical modeling approach for analysis of longitudinal clinical trials in the presence of missing endpoints

APPLIED MATHEMATICS LETTERS, 63, 109–117.

By: H. Banks n, S. Hu n & E. Rosenberg n

author keywords: HIV; Hypothesis testing; Ordinary differential equation; Inverse problems
TL;DR: A validated mathematical model combined with an inverse problem approach is used to predict the values for the missing endpoints in a small randomized HIV clinical trial. (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

2017 journal article

Codiagonalization of matrices and existence of multiple homoclinic solutions

Journal of Applied Analysis and Computation, 7(1), 172–188.

By: X. Lin & C. Zhu

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

2017 journal article

Statistical error model comparison for logistic growth of green algae (Raphidocelis subcapitata)

Applied Mathematics Letters, 64, 213–222.

By: H. Banks n, E. Collins n, K. Flores n, P. Pershad n, M. Stemkovski  n & L. Stephenson n

author keywords: Algae growth models; Parameter estimation; Uncertainty quantification; Asymptotic theory
TL;DR: A proportional error statistical model is suggested to be the most appropriate for logistic growth modeling of R. subcapitata continuous population growth. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, Crossref
Added: August 6, 2018

2017 journal article

Resultants over commutative idempotent semirings I: Algebraic aspect

JOURNAL OF SYMBOLIC COMPUTATION, 79, 285–308.

By: H. Hong n , Y. Kim*, G. Scholten n & J. Sendra *

author keywords: Resultant; Commutative idempotent semiring; Tropical algebra; Sylvester matrix; Permanent
TL;DR: It is proved that the same property of the resultant (with subtraction replaced with addition) holds over an arbitrary commutative idempotent semiring. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

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