Mathematics

Works Published in 2018

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Displaying works 161 - 180 of 191 in total

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

2018 journal article

Variational Gaussian approximation for Poisson data

INVERSE PROBLEMS, 34(2).

By: S. Arridge*, K. Ito n, B. Jin * & C. Zhang *

author keywords: variational Gaussian approximation; Poisson data; hierarchical modeling; Kullback-Leibler divergence; alternating direction maximization
TL;DR: This work analyzes a variational Gaussian approximation to the posterior distribution arising from the Poisson model with a Gaussian prior, and derives an explicit expression for the lower bound, and shows the existence and uniqueness of the optimalGaussian approximation. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2018 journal article

Stability of combustion waves in a simplified gas-solid combustion model in porous media

By: F. Ozbag * & S. Schecter n

author keywords: travelling wave; stability; combustion waves; porous media
TL;DR: The essential spectrum of the linearized system at a travelling wave is determined and an extension of a recent result about partly parabolic systems that are stabilized by such weight functions is used to show nonlinear stability. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2018 journal article

Sensitivity Analysis of Arctic Sea Ice Extent Trends and Statistical Projections Using Satellite Data

REMOTE SENSING, 10(2).

By: G. Peng n , J. Matthews n & J. Yu*

author keywords: Arctic; sea ice; sea ice trend; Arctic ice-free projection; sensitivity analysis
TL;DR: The results from a sensitivity analysis of six commonly used curve-fitting models show that the projected timings of the first Arctic ice-free summer year tend to be earlier for exponential, Gompertz, quadratic, and linear with lag fittings, and later for linear and log fittings. (via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2018 journal article

Probabilistic modeling and global sensitivity analysis for CO2 storage in geological formations: a spectral approach

APPLIED MATHEMATICAL MODELLING, 53, 584–601.

By: B. Saad*, A. Alexanderian n, S. Prudhomme * & O. Knio *

author keywords: Carbon sequestration; Multiphase flow; Risk assessment; Parametric uncertainty; Polynomial chaos; Sensitivity analysis
TL;DR: This work focuses on the simulation of CO_2 storage in deep underground formations under uncertainty and seeks to understand the impact of uncertainties in reservoir properties on leakage by characterizing the distributions of model observables and compute probabilities of excess $CO_2$ leakage. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2018 journal article

High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems

ADVANCES IN COMPUTATIONAL MATHEMATICS, 44(1), 327–350.

By: A. Chertock n , Y. Epshteyn *, H. Hu & A. Kurganov *

author keywords: Patlak-Keller-Segel chemotaxis system; Advection-diffusion-reaction systems; High-order finite-difference; Finite-volume methods; Positivity-preserving algorithms
UN Sustainable Development Goal Categories
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2018 journal article

Efficient generalized Golub-Kahan based methods for dynamic inverse problems

Inverse Problems, 34(2).

By: J. Chung *, A. Saibaba n , M. Brown* & E. Westman *

Contributors: J. Chung *, A. Saibaba n , M. Brown* & E. Westman *

TL;DR: This work develops efficient, iterative, matrix-free methods based on the generalized Golub-Kahan bidiagonalization that allow automatic regularization parameter and variance estimation and develops efficient implementations that can exploit structure in the prior, as well as possible structures in the forward model. (via Semantic Scholar)
Sources: NC State University Libraries, ORCID, NC State University Libraries
Added: August 6, 2018

2018 journal article

Center of the quantum affine vertex algebra in type A

JOURNAL OF ALGEBRA, 496, 138–186.

By: N. Jing* , S. Kozic, A. Molev & F. Yang

author keywords: Quantum vertex algebra; Double Yangian; Center at the critical level
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2018 journal article

A second-order finite-difference method for compressible fluids in domains with moving boundaries

Commun. Comput. Phys., 23(1), 230–263.

By: A. Chertock , A. Coco, A. Kurganov & G. Russo

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

2018 journal article

Tissue geometry may govern lung branching mode selection

JOURNAL OF THEORETICAL BIOLOGY, 442, 22–30.

By: U. George * & S. Lubkin n 

MeSH headings : Animals; Cell Proliferation; Fibroblast Growth Factor 10 / metabolism; Humans; Lung / anatomy & histology; Lung / embryology; Lung / metabolism; Mesoderm / cytology; Mesoderm / embryology; Mesoderm / metabolism; Mice; Models, Anatomic; Morphogenesis
TL;DR: A computational model of the epithelial lung bud and its surrounding mesenchyme is developed and it is found that a single simple mechanism is theoretically capable of directing an epithelial tubule to elongate, bend, flatten, or bifurcate, depending solely on geometric ratios of the tissues in the vicinity of a growing tubule tip. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2018 journal article

Stability of Feedback Solutions for Infinite Horizon Noncooperative Differential Games

DYNAMIC GAMES AND APPLICATIONS, 8(1), 42–78.

By: A. Bressan * & K. Nguyen  n

Contributors: A. Bressan * & K. Nguyen  n

author keywords: Noncooperative differential games; Nash equilibrium; Infinite horizon
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2018 journal article

Population genetic diversity in zebrafish lines

MAMMALIAN GENOME, 29(1-2), 90–100.

By: M. Balik-Meisner  n, L. Truong *, E. Scholl n, R. Tanguay * & D. Reif n 

MeSH headings : Animals; Gene Frequency; Genetic Variation; Genetics, Population; Genome / genetics; Polymorphism, Single Nucleotide / genetics; Zebrafish / genetics
TL;DR: T5D is established as a model that is representative of diversity levels within laboratory zebrafish lines and demonstrated that experimental design and analysis can exert major effects when characterizing genetic diversity in heterogeneous populations. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2018 journal article

Plasmodium knowlesi invasion following spread by infected mosquitoes, macaques and humans

PARASITOLOGY, 145(1), 101–110.

By: L. Yakob *, A. Lloyd n , R. Kao *, H. Ferguson *, P. Brock *, C. Drakeley *, M. Bonsall *

author keywords: invasion analysis; Plasmodium knowlesi; vector-borne disease; mathematical model; vector behaviour
MeSH headings : Animals; Anopheles / parasitology; Anopheles / physiology; Host-Parasite Interactions; Humans; Macaca; Malaria / parasitology; Malaria / transmission; Malaria / veterinary; Models, Biological; Monkey Diseases / parasitology; Monkey Diseases / transmission; Monte Carlo Method; Mosquito Vectors / parasitology; Mosquito Vectors / physiology; Plasmodium knowlesi / physiology
TL;DR: Invasion analysis demonstrates that this behavioural plasticity can qualitatively impact the probability of an epidemic sparked by imported infection. (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

2018 journal article

Coxeter-biCatalan combinatorics

JOURNAL OF ALGEBRAIC COMBINATORICS, 47(2), 241–300.

By: E. Barnard n & N. Reading n 

Contributors: E. Barnard n & N. Reading n 

author keywords: Alternating arc diagram; Coxeter-Catalan combinatorics; Doubled root poset; Twin clusters; Twin noncrossing partitions; Twin nonnesting partitions; Twin sortable elements
UN Sustainable Development Goal Categories
15. Life on Land (Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2018 article

Capelli identity on multiparameter quantum linear groups

Jing, N., & Zhang, J. (2018, February). SCIENCE CHINA-MATHEMATICS, Vol. 61, pp. 253–268.

By: N. Jing n  & J. Zhang *

author keywords: multiparameter quantum groups; q-determinants; quasi-center; Capelli identity; q-Pfaffians; q-hyper-Pfaffians
UN Sustainable Development Goal Categories
10. Reduced Inequalities (Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2018 journal article

Bosonic vertex representations of the toroidal superalgebras in type D(m, n)

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 17(3).

By: N. Jing n  & C. Xu *

author keywords: Toroidal Lie superalgebra; vertex operators; free fields
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2018 journal article

A closed-form solution of the Black-Litterman model with conditional value at risk

OPERATIONS RESEARCH LETTERS, 46(1), 103–108.

By: T. Pang n & C. Karan n

author keywords: Black-Litterman model; Portfolio optimization; CVaR; Elliptical distribution
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2018 journal article

Well-balanced schemes for the shallow water equations with Coriolis forces

NUMERISCHE MATHEMATIK, 138(4), 939–973.

By: A. Chertock n , M. Dudzinski*, A. Kurganov * & M. Lukacova-Medvid'ova *

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

2018 journal article

INITIAL-SEED RECURSIONS AND DUALITIES FOR d-VECTORS

PACIFIC JOURNAL OF MATHEMATICS, 293(1), 179–206.

By: N. Reading n  & S. Stella*

Contributors: N. Reading n  & S. Stella*

author keywords: cluster algebra; denominator vector; initial-seed recursion; marked surface
UN Sustainable Development Goal Categories
15. Life on Land (Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2018 journal article

Criteria for solvability and supersolvability in Leibniz algebras

COMMUNICATIONS IN ALGEBRA, 46(5), 2083–2088.

By: K. Misra n, E. Stitzinger n & B. Turner n

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

2018 journal article

A NOTE ON SURGERY OBSTRUCTIONS AND HYPERBOLIC INTEGER HOMOLOGY SPHERES

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 146(3), 1363–1365.

By: J. Hom * & T. Lidman n

Source: Web Of Science
Added: August 6, 2018

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