Mathematics

Works Published in 2018

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Displaying works 81 - 100 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

THE DISCRETE EMPIRICAL INTERPOLATION METHOD: CANONICAL STRUCTURE AND FORMULATION IN WEIGHTED INNER PRODUCT SPACES

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 39(3), 1152–1180.

By: Z. Drmac & A. Saibaba* 

author keywords: empirical interpolation; Galerkin projection; generalized empirical interpolation; nonlinear model reduction; oblique projection; proper orthogonal decomposition; parametrized-background data-weak approach; rank revealing QR factorization; weighted inner product
TL;DR: A special case of $W-DEIM is introduced, which is DGEIM, a discrete version of the Generalized Empirical Interpolation Method that allows generalization of the interpolation via a dictionary of linear functionals. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: January 7, 2019

2018 journal article

ON MULTISCALE ADI METHODS FOR PARABOLIC PDEs WITH A DISCONTINUOUS COEFFICIENT

MULTISCALE MODELING & SIMULATION, 16(4), 1623–1647.

By: Z. Li* , X. Chen* & Z. Zhang

author keywords: ADI method; interface problems; discontinuous coefficient; multiscale; jump conditions; augmented variable; stability
TL;DR: Alternating direction implicit (ADI) method is one of the most efficient methods in solving parabolic PDEs of initial and boundary value problems and it is challenging to develop efficient ADI methods. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: January 7, 2019

2018 journal article

A Mutual Subsidy Mechanism for a Seasonal Product Supply Chain Channel Under Double Price Regulation

ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 35(6).

By: H. Peng *, T. Pang n, F. Cao * & J. Zhao *

author keywords: Supply chain channel; mutual subsidy mechanism; price regulation; seasonal product
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: December 31, 2018

2018 journal article

A numerical algorithm for constructing an individual mathematical model of HIV dynamics at cellular level

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 26(6), 859–873.

By: H. Banks n, S. Kabanikhin, O. Krivorotko * & D. Yermolenko*

author keywords: Mathematical model of HIV dynamics; parameter specification problem; inverse problem; optimization approach; genetic algorithm; confidence intervals
TL;DR: A genetic algorithm for solving the least squares function minimization problem is implemented and investigated and the results of a numerical solution of the inverse problem are analyzed. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Source: Web Of Science
Added: December 17, 2018

2018 journal article

A note on concordance properties of fibers in Seifert homology spheres

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 61(4), 754–767.

By: T. Lidman n & E. Tweedy*

author keywords: Seifert fibered; homology sphere; 3-manifold; concordance; cobordism; Heegaard Floer
Source: Web Of Science
Added: December 17, 2018

2018 journal article

Estimating intratumoral heterogeneity from spatiotemporal data

JOURNAL OF MATHEMATICAL BIOLOGY, 77(6-7), 1999–2022.

By: E. Rutter n, H. Banks n & K. Flores n

author keywords: Glioblastoma multiforme; Random differential equation; Parameter estimation
MeSH headings : Antineoplastic Agents / therapeutic use; Brain Neoplasms / drug therapy; Brain Neoplasms / pathology; Cell Movement; Cell Proliferation; Computer Simulation; Glioblastoma / drug therapy; Glioblastoma / pathology; Humans; Mathematical Concepts; Models, Biological; Neoplasm Invasiveness / pathology; Phenotype; Probability; Spatio-Temporal Analysis; Tumor Burden / drug effects
TL;DR: The predicted effect of treatment, specifically, chemotherapy, when assuming such a heterogeneous population and compare with predictions from a homogeneous cell population model are examined. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: December 17, 2018

2018 journal article

AN APPROXIMATION THEORETIC PERSPECTIVE OF SOBOL' INDICES WITH DEPENDENT VARIABLES

INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION, 8(6), 483–493.

By: J. Hart* & P. Gremaud n

author keywords: global sensitivity analysis; Sobol' indices; dependent variables
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: December 10, 2018

2018 journal article

Automated Defect Detection in Spent Nuclear Fuel Using Combined Cerenkov Radiation and Gamma Emission Tomography Data

Nuclear Technology, 204(3), 343–353.

By: E. Brayfindley n, R. Smith n , J. Mattingly n & R. Brigantic*

author keywords: Digital Cerenkov Viewing Device; tomography; image analysis; spent fuel characterization
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, Crossref, NC State University Libraries
Added: December 3, 2018

2018 journal article

PERTURBATION RESULTS AND THE FORWARD ORDER LAW FOR THE MOORE-PENROSE INVERSE OF A PRODUCT

ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 34, 514–525.

By: N. Castro-Gonzalez & R. Hartwig

Source: NC State University Libraries
Added: December 3, 2018

2018 journal article

RANDOM DELAY DIFFERENTIAL EQUATIONS AND INVERSE PROBLEMS FOR AGGREGATE DATA PROBLEMS

EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS, 6(4), 4–16.

By: H. Banks* & W. Thompson*

author keywords: Inverse problems; random delay differential equations; aggregate data; approximation and consistency of estimators
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: December 3, 2018

2018 journal article

A MULTISCALE METHOD FOR COMPUTING EFFECTIVE PARAMETERS OF COMPOSITE ELECTROMAGNETIC MATERIALS WITH MEMORY EFFECTS

QUARTERLY OF APPLIED MATHEMATICS, 76(4), 713–738.

By: V. Bokil*, H. Banks n, D. Cioranescu* & G. Griso *

author keywords: Maxwell's equations; periodic unfolding; homogenization; dispersive media; auxiliary differential equation
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: November 26, 2018

2018 journal article

Coordination contracts for a supply chain with yield uncertainty and low-carbon preference

JOURNAL OF CLEANER PRODUCTION, 205, 291–302.

By: H. Peng *, T. Pang n & J. Cong*

author keywords: Low-carbon; Cap-and-trade; Quantity discount; Revenue sharing; Emission reduction subsidy
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: November 26, 2018

2018 journal article

EFFICIENT D-OPTIMAL DESIGN OF EXPERIMENTS FOR INFINITE-DIMENSIONAL BAYESIAN LINEAR INVERSE PROBLEMS

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 40(5), A2956–A2985.

By: A. Alexanderian* & A. Saibaba* 

author keywords: Bayesian inversion; D-optimal experimental design; large-scale ill-posed inverse problems; randomized matrix methods; low-rank approximation; uncertainty quantification
TL;DR: A computational framework for D-optimal experimental design for PDE-based Bayesian linear inverse problems with infinite-dimensional parameters is developed, to use randomized estimators for computing the D-Optimal criterion, its derivative, as well as the Kullback--Leibler divergence from posterior to prior. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: November 19, 2018

2018 journal article

Determinants of the efficacy of HIV latency-reversing agents and implications for drug and treatment design

JCI INSIGHT, 3(20).

By: R. Ke n, J. Conway*, D. Margolis * & A. Perelson *

MeSH headings : Anti-HIV Agents / pharmacology; Anti-HIV Agents / therapeutic use; CD4-Positive T-Lymphocytes / drug effects; CD4-Positive T-Lymphocytes / immunology; CD4-Positive T-Lymphocytes / virology; Drug Design; Drug Therapy, Combination / methods; HIV Antigens / metabolism; HIV Infections / drug therapy; HIV Infections / immunology; HIV Infections / virology; HIV-1 / drug effects; HIV-1 / physiology; Humans; Models, Biological; Pulse Therapy, Drug; Treatment Outcome; Virus Latency / drug effects
TL;DR: A mathematical model that describes the dynamics of latently infected cells under LRA treatment showed that, in addition to increasing the immune recognition and clearance of infected cells, the duration of HIV antigen expression plays an important role in determining the efficacy of LRAs, especially if effective clearance is achieved. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Source: Web Of Science
Added: November 12, 2018

2018 journal article

Modeling Nondilute Species Transport Using the Thermodynamically Constrained Averaging Theory

Water Resources Research, 54(9), 6656–6682.

By: T. Weigand *, P. Schultz*, D. Giffen n, M. Farthing *, A. Crockett*, C. Kelley n , W. Gray*, C. Miller *

UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Sources: Web Of Science, ORCID, Crossref, NC State University Libraries
Added: November 12, 2018

2018 journal article

A randomized tensor singular value decomposition based on the t-product

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 25(5).

By: J. Zhang*, A. Saibaba n , M. Kilmer* & S. Aeron *

author keywords: randomized SVD; singular value decomposition; t-product; tensor; truncated SVD
TL;DR: This paper proposes a method that extends a well‐known randomized matrix method to the t‐SVD, which can produce a factorization with similar properties to the sVD, but it is more computationally efficient on very large data sets. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: November 12, 2018

2018 journal article

Decentralized Observer-Based Reliable Control for a Class of Interconnected Markov Jumped Time-Delay System Subject to Actuator Saturation and Failure

CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 37(11), 4728–4752.

By: Z. Chen *, Z. Cao *, Q. Huang * & S. Campbell n 

author keywords: Interconnected systems; Time-delay systems; Actuator saturation; Actuator failure; Decentralized observer-based stabilization
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: November 5, 2018

2018 journal article

THE ROLE OF STRUCTURAL VISCOELASTICITY IN DEFORMABLE POROUS MEDIA WITH INCOMPRESSIBLE CONSTITUENTS: APPLICATIONS IN BIOMECHANICS

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 15(4), 933–959.

By: M. Verri*, G. Guidoboni, L. Bociu*  & R. Sacco n

author keywords: Deformable porous media flow; incompressible constituents; viscoelasticity; explicit solution; velocity blow-up; confined compression
MeSH headings : Biomechanical Phenomena; Biophysical Phenomena; Elasticity; Humans; Hydrodynamics; Mathematical Concepts; Models, Biological; Nonlinear Dynamics; Porosity; Tissue Engineering; Viscosity
TL;DR: For the first time, it is shown that the fluid velocity within the medium could increase tremendously, even up to infinity, should the external applied load experience sudden changes in time and the structural viscoelasticity be too small. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: October 29, 2018

2018 journal article

OPTIMAL DESIGN FOR DYNAMICAL MODELING OF PEST POPULATIONS

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 15(4), 993–1010.

By: H. Banks n, R. Everett*, N. Murad, R. White, J. Banks, B. Cass, J. Rosenheim  n

author keywords: Dynamic modeling; pest management; optimal experimental design; constrained optimization; ecoinformatics
MeSH headings : Animals; Citrus / parasitology; Computer Simulation; Mathematical Concepts; Mites / pathogenicity; Models, Biological; Monte Carlo Method; Pest Control / methods; Pest Control / statistics & numerical data; Plant Diseases / parasitology; Plant Diseases / prevention & control; Population Dynamics
TL;DR: This work applies SE-optimal design methodology to investigate optimal data collection procedures as a first step in investigating information content in ecoinformatics data sets, and suggests that a field researcher should collect at least 12 data points at the optimal times. (via Semantic Scholar)
UN Sustainable Development Goal Categories
2. Zero Hunger (OpenAlex)
Source: Web Of Science
Added: October 29, 2018

2018 journal article

Acetosyringone treatment duration affects large T-DNA molecule transfer to rice callus

BMC BIOTECHNOLOGY, 18.

By: J. Xi n, M. Patel n, S. Dong*, Q. Que * & R. Qu n

author keywords: Agrobacterium; BIBAC; Immuno-precipitation; Large T-DNA; Monocot transformation
MeSH headings : Acetophenones / pharmacology; Agrobacterium tumefaciens / genetics; Chromosomes, Artificial, Bacterial / genetics; DNA, Bacterial / metabolism; Oryza / genetics; Plants, Genetically Modified / genetics; Transformation, Genetic / drug effects
TL;DR: It is demonstrated that extension of AS induction time highly significantly improved large-size T- DNA transfer to rice cells and provided valuable information of the T-strand dynamics and its impact on large T-DNA transfer in monocots, and likely dicots as well. (via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land (Web of Science)
Source: Web Of Science
Added: October 19, 2018

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