Works Published in 2018
Displaying works 21 - 40 of 48 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
A MULTISCALE METHOD FOR COMPUTING EFFECTIVE PARAMETERS OF COMPOSITE ELECTROMAGNETIC MATERIALS WITH MEMORY EFFECTS
QUARTERLY OF APPLIED MATHEMATICS, 76(4), 713–738.
author keywords: Maxwell's equations; periodic unfolding; homogenization; dispersive media; auxiliary differential equation
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: November 26, 2018
2018 journal article
Modeling Nondilute Species Transport Using the Thermodynamically Constrained Averaging Theory
Water Resources Research, 54(9), 6656–6682.
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(Web of Science)
15. Life on Land
(OpenAlex)
Sources: Web Of Science, ORCID, Crossref, NC State University Libraries
Added: November 12, 2018
2018 journal article
OPTIMAL DESIGN FOR DYNAMICAL MODELING OF PEST POPULATIONS
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 15(4), 993–1010.
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)
doi.org (publisher)
UN Sustainable Development Goal Categories
2. Zero Hunger
(OpenAlex)
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: October 29, 2018
2018 journal article
A direct IIM approach for two-phase Stokes equations with discontinuous viscosity on staggered grids
COMPUTERS & FLUIDS, 172, 549–563.
author keywords: Incompressible Stokes equations; Interface problem; Discontinuous viscosity; Marker and cell scheme; Staggered mesh; Uzawa method; Immersed interface method; Finite difference method
TL;DR:
A direct immersed interface method is proposed to solve two-phase incompressible Stokes equations with an interface and a piecewise constant viscosity on staggered grids that avoids the costs for introducing augmented variables and difficulties in solving them from the corresponding Schur complement system.
(via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: October 19, 2018
2018 article
Uncertainty-enabled design of electromagnetic reflectors with integrated shape control
BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS AND COMPOSITES XII, Vol. 10596.
author keywords: Bimorph membrane; Zernike polynomials; PVDF; Sensitivity analysis; Uncertainty Quantification
TL;DR:
A model to determine the shape of the laminate for a given distribution of control voltages and a probabilistic description of reflector performance using statistical methods to quantify uncertainty is described.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: October 16, 2018
2018 article
Active Subspace Uncertainty Quantification for a Polydomain Ferroelectric Phase-Field Model
BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS AND COMPOSITES XII, Vol. 10596.
author keywords: Ferroelectric materials; ferroelectricity; active subspaces; surrogate model; uncertainty quantification; Bayesian inference
TL;DR:
The analysis provides insight into how active subspace methodologies can be used to reduce computational power needed to perform Bayesian inference on model parameters informed by experimental or simulated data.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: October 16, 2018
2018 article
Uncertainty Quantification for PZT Bimorph Actuators
BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS AND COMPOSITES XII, Vol. 10596.
author keywords: Uncertainty Quantification; PZT Bimorph; Modeling; Surrogate; Homogenized Energy Model
TL;DR:
A high-fidelity model for a PZT bimorph actuator used for micro-air vehicles, which includes the Robobee is developed using the homogenized energy model (HEM) framework, which quantifies the nonlinear, hysteretic, and rate-dependent behavior inherent to PzT in dynamic operating regimes.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
Sources: Web Of Science, ORCID
Added: October 16, 2018
2018 journal article
The effect of pore size and density on ultrasonic attenuation in porous structures with mono-disperse random pore distribution: A two-dimensional in-silico study
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 144(2), 709–719.
TL;DR:
The sensitivity of the model to various parameter estimates depends on the micro-architectural parameters, pore diameter and pore density, so the ability to estimate model-sensitive parameters with a high degree of confidence is established.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
5. Gender Equality
(Web of Science)
Source: Web Of Science
Added: October 16, 2018
2018 journal article
TRAVELING WAVES OF A GO-OR-GROW MODEL OF GLIOMA GROWTH
SIAM JOURNAL ON APPLIED MATHEMATICS, 78(3), 1778–1801.
author keywords: glioblastoma; tumor growth; go or grow; traveling wave; mathematical modeling
TL;DR:
The first mathematical models of the spread of gliomas featured reaction-diffusionEquilibrium models, which showed clear trends in how tumor cells excessively proliferate and migrate.
(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
2018 journal article
Error analysis of the immersed interface method for Stokes equations with an interface
APPLIED MATHEMATICS LETTERS, 83, 207–211.
author keywords: Stokes equations; Error analysis; Finite difference method; Immersed interface method; Divergence-free
TL;DR:
Based on recent theoretical development, particularly the error analysis by Beale and Layton (2006), second order convergence has been shown for both pressure and velocity under some assumptions.
(via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2018 journal article
Differential Faraday Rotation and Polarimetric SAR
SIAM Journal on Applied Mathematics, 78(3), 1422–1449.
author keywords: inverse scattering; scattering matrix; gyrotropy; electromagnetic waves; polarization; rotation of polarization plane; radar signal bandwidth; radar ambiguity theory; polarimetric matched filter; Earth's ionosphere; magnetic field of the Earth
TL;DR:
The propagation of linearly polarized electromagnetic waves through the Earth's ionosphere is accompanied by Faraday rotation (FR), which is due to gyrotropy of the ionospheric plasma in the magnet.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2018 journal article
Simple multi-scale modeling of the transmission dynamics of the 1905 plague epidemic in Bombay
MATHEMATICAL BIOSCIENCES, 301, 83–92.
author keywords: Multi-scale modeling; Sub-exponential growth; Plague epidemic; 1905 Bombay plague; Mathematical modeling; Disease transmission dynamics
MeSH headings : Basic Reproduction Number; Confidence Intervals; Epidemics / history; Epidemics / statistics & numerical data; Forecasting / methods; History, 20th Century; Humans; India / epidemiology; Logistic Models; Mathematical Concepts; Models, Biological; Plague / epidemiology; Plague / history; Plague / transmission; Spatio-Temporal Analysis
TL;DR:
It is shown that it is possible for the growth of an epidemic in the early phase to be sub-exponential at sub-city level, while maintaining near exponential growth at an aggregated city level, and the rate of movement between districts can have a significant effect on the final epidemic size.
(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
2018 book
Numerical solution of differential equations: Introduction to finite difference and finite element methods
New York: Cambridge University Press.
Source: NC State University Libraries
Added: August 6, 2018
2018 journal article
Forecasting and Uncertainty Quantification Using a Hybrid of Mechanistic and Non-mechanistic Models for an Age-Structured Population Model
Bulletin of Mathematical Biology, 80(6), 1578–1595.
author keywords: State space reconstruction; Uncertainty quantification; Structured population model; Forecasting
MeSH headings : Animals; Bayes Theorem; Coleoptera / pathogenicity; Coleoptera / physiology; Forecasting / methods; Mathematical Concepts; Models, Biological; Multivariate Analysis; Population Dynamics / statistics & numerical data; Uncertainty
TL;DR:
An analysis of the results from Bayesian inference for the mechanistic model and hybrid models is performed to suggest reasons why hybrid modeling methodology may enable more accurate forecasts of multivariate systems than traditional approaches.
(via Semantic Scholar)
Sources: Web Of Science, Crossref, ORCID
Added: August 6, 2018
2018 journal article
AN ASYMPTOTIC PRESERVING SCHEME FOR KINETIC MODELS WITH SINGULAR LIMIT
KINETIC AND RELATED MODELS, 11(4), 735–756.
author keywords: Kinetic models; singular limit; asymptotic-preserving schemes; velocity scaling; aggregation equation; flocking phenomena
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
2018 journal article
A high-order source removal finite element method for a class of elliptic interface problems
APPLIED NUMERICAL MATHEMATICS, 130, 112–130.
author keywords: Interface problem; Level set function; Source removal technique; Immersed interface
TL;DR:
A high-order finite element method based on unfitted meshes for solving a class of elliptic interface problems whose solution and its normal derivative have finite jumps across an interface is proposed in this paper.
(via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2018 journal article
Acquisition War-Gaming Technique for Acquiring Future Complex Systems: Modeling and Simulation Results for Cost Plus Incentive Fee Contract
Mathematics, 6(3), 43.
author keywords: game theory; Bayesian games; incentives; contract parameters; Cost plus Incentive Fee (CPIF); mathematical modelling; simulation; program and technical baseline (PTB); acquisition strategy; space systems
TL;DR:
An innovative system engineering approach to model the Department of Defense (DoD) acquisition process and several optimization modules including simulation models using game theory and war-gaming concepts are presented.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities
(Web of Science)
Sources: Web Of Science, ORCID, Crossref
Added: August 6, 2018
2018 journal article
A High Order Compact Time/Space Finite Difference Scheme for the Wave Equation with Variable Speed of Sound
Journal of Scientific Computing, 76(2), 777–811.
author keywords: Compact finite differences; Wave equation; Variable coefficients; High order accuracy
TL;DR:
This work considers fourth order accurate compact schemes, in both space and time, for the second order wave equation with a variable speed of sound, and demonstrates that usually this is much more efficient than lower order schemes despite being implicit and only conditionally stable.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2018 journal article
Numerical methods for nonlinear equations
Acta Numerica, 27, 207–287.
TL;DR:
This article is about numerical methods for the solution of nonlinear equations and includes the classical methods to make the presentation complete and discusses less familiar topics such as Anderson acceleration, semi-smooth Newton’s method, and pseudo-arclength and Pseudo-transient continuation methods.
(via Semantic Scholar)
Sources: Web Of Science, Crossref, ORCID
Added: August 6, 2018
2018 review
Information content in data sets: A review of methods for interrogation and model comparison
[Review of ]. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 26(3), 423–452.
author keywords: Information content; weighted least squares; sensitivity; model comparison techniques; Akaike Information Criterion
TL;DR:
This review discusses methodology to ascertain the amount of information in given data sets with respect to determination of model parameters with desired levels of uncertainty in the context of least squares based inverse problem formulations.
(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
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