Works Published in 2010
Displaying works 121 - 140 of 147 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2010 journal article
An approximation scheme for Black-Scholes equations with delays
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 23(3), 438–455.
author keywords: Black-Scholes equation; finite difference; stochastic functional differential equations; viscosity solutions
TL;DR:
Under a general condition on the payoff function of the option, it is shown that the pricing function is the unique viscosity solution of the infinite dimensional Black-Scholes equation.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2010 journal article
A Fast Explicit Operator Splitting Method for Passive Scalar Advection
JOURNAL OF SCIENTIFIC COMPUTING, 45(1-3), 200–214.
Contributors: A. Chertock n , C. Doering *, E. Kashdan* & A. Kurganov *
TL;DR:
A fast explicit operator splitting method is extended, recently proposed, for solving deterministic convection-diffusion equations, to the problems with random velocity fields and singular source terms.
(via Semantic Scholar)
citeseerx.ist.psu.edu (repository)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2010 journal article
A Compact Fourth Order Scheme for the Helmholtz Equation in Polar Coordinates
Journal of Scientific Computing, 45(1-3), 26–47.
author keywords: Helmholtz equation; Variable coefficients; Polar coordinates; High order accuracy; Compact finite differences; Exact artificial boundary condition (ABC)
TL;DR:
This work develops a new compact scheme that is provably fourth order accurate even for scattering problems and presents numerical results that corroborate the fourth order convergence rate for several scattering problems.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2010 journal article
Using inverse problem methods with surveillance data in pneumococcal vaccination
MATHEMATICAL AND COMPUTER MODELLING, 51(5-6), 369–388.
author keywords: Inverse problems; Surveillance data; Epidemiological models; Pneumococcal diseases; Age structure
TL;DR:
It is demonstrated that relevant yet typically unknown parameters may be estimated, and it is shown that a calibrated model may used to assess implemented vaccine policies through the estimation of parameters if vaccine history is recorded along with infection and colonization information.
(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
2010 journal article
Electromagnetic interrogation and the Doppler shift using the method of mappings
MATHEMATICAL AND COMPUTER MODELLING, 51(5-6), 389–399.
author keywords: Electromagnetic Doppler shift; Moving interfaces; Method of mappings; Finite elements
TL;DR:
The method of mappings is employed to transform the problem to one of computing solutions of a Maxwell system with time dependent coefficients on a fixed reference domain, obtaining a problem that is eminently tractable with finite element or finite difference time domain methods.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
1. No Poverty
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2010 journal article
BLOCK MONOTONE ITERATIVE METHOD FOR SEMILINEAR PARABOLIC EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS
SIAM JOURNAL ON NUMERICAL ANALYSIS, 47(6), 4581–4606.
author keywords: semilinear parabolic equations; nonlinear boundary conditions; finite difference systems; block monotone iterations; upper and lower solutions; Jacobi iterations and Gauss-Seidel iterations; numerical solutions; convergence
TL;DR:
It is shown that by using an upper solution and a lower solution as initial iterations each of the iterative schemes yields two sequences which converge monotonically from above and below, respectively, to a unique solution of the finite difference system.
(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
2010 journal article
An active approach for detection of incipient faults
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 41(2), 241–257.
author keywords: incipient fault detection; fault detection; auxiliary signal design; identification
TL;DR:
It is shown that it is possible to consider the model of the system with a drifted parameter as a second model and use the MM framework for designing the auxiliary signal by considering the limiting case as the parameter variation goes to zero.
(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: August 6, 2018
2010 journal article
A Multicompartment Liver-based Pharmacokinetic Model for Benzene and its Metabolites in Mice
BULLETIN OF MATHEMATICAL BIOLOGY, 72(3), 507–540.
author keywords: Benzene metabolism model; Ordinary differential equations; Existence and uniqueness; Inverse problems
MeSH headings : Animals; Benzene / pharmacokinetics; Cytochrome P-450 CYP2E1 / metabolism; Glutathione / metabolism; Liver / enzymology; Liver / metabolism; Mice; Models, Biological
TL;DR:
This study shows that the multicompartment metabolism model does improve predictions over the previous model and that in vitro metabolic constants can be successfully extrapolated to predict in vivo data for benzene metabolism and dosimetry.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2010 journal article
'Plum Regal' fresh-market plum tomato hybrid and Its parents, NC 25P and NC 30P
HortScience, 45(5), 824–825.
Source: NC State University Libraries
Added: August 6, 2018
2010 journal article
Semi-definite programming techniques for structured quadratic inverse eigenvalue problems
NUMERICAL ALGORITHMS, 53(4), 419–437.
author keywords: Semi-definite programming; Quadratic pencil; Inverse eigenvalue problem; Structural constraint; Model updating
TL;DR:
Of notable interest and significance are the uniformity and the simplicity in the SDP formulation that solves effectively many otherwise very difficult QIEPs.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2010 journal article
SHOCK FORMATION AND BREAKING IN GRANULAR AVALANCHES
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 27(2), 693–714.
author keywords: avalanches; conservation laws; granular materials; segregation; shock waves
UN Sustainable Development Goal Categories
15. Life on Land
(OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2010 journal article
On the use of a nascent delta function in radiative-transfer calculations for multi-layer media subject to Fresnel boundary and interface conditions
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 111(1), 128–133.
author keywords: Radiative transfer; Nascent delta function; Fresnel conditions; Discrete-ordinates method
Source: Web Of Science
Added: August 6, 2018
2010 journal article
MATHEMATICAL STRATEGIES FOR FILTERING TURBULENT DYNAMICAL SYSTEMS
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 27(2), 441–486.
author keywords: stochastic parameter estimation; Kalman filter; filtering turbulent systems; data assimilation; model error
UN Sustainable Development Goal Categories
13. Climate Action
(Web of Science)
16. Peace, Justice and Strong Institutions
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2010 journal article
Classification of Curves in 2D and 3D via Affine Integral Signatures
ACTA APPLICANDAE MATHEMATICAE, 109(3), 903–937.
author keywords: Euclidean and affine transformations; Equivalence problem for curves; Integral invariants; Signatures; Image recognition
TL;DR:
New robust classification algorithms for planar and spatial curves subjected to affine transformations based on integral invariants, which are significantly less sensitive to small perturbations of curves and noise than classically known differential invariants.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
Sources: Web Of Science, NC State University Libraries, ORCID
Added: August 6, 2018
2010 journal article
A Quantized Tits-Kantor-Koecher Algebra
ALGEBRAS AND REPRESENTATION THEORY, 13(2), 207–217.
author keywords: Quantum analogue; Tits-Kantor-Koecher algebra; Jordan torus
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2010 journal article
Test models for improving filtering with model errors through stochastic parameter estimation
JOURNAL OF COMPUTATIONAL PHYSICS, 229(1), 1–31.
author keywords: Stochastic parameter estimation; Kalman filter; Filtering turbulence; Data assimilation; Model error
TL;DR:
A suite of stringent test models for filtering with stochastic parameter estimation is developed based on the Stochastic Parameterization Extended Kalman Filter, which systematically correct both multiplicative and additive biases and involve exact formulas for propagating the mean and covariance including the parameters in the test model.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2010 journal article
Resolving the impact of waiting time distributions on the persistence of measles
Journal of The Royal Society Interface, 7(45), 623–640.
author keywords: measles; stochasticity; persistence
MeSH headings : Communicable Diseases / epidemiology; Disease Outbreaks; England / epidemiology; Humans; Measles / epidemiology; Population; Population Density; Seasons; Wales / epidemiology
TL;DR:
It is demonstrated that, no matter the choice of persistence measure, appropriately parametrized models of measles demonstrate similar predictions for the level of the CCS, and two new statistical measures of persitence are introduced—fade-outs post epidemic and fade-out post invasion.
(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
2010 journal article
Positive solutions of quasilinear parabolic systems with Dirichlet boundary condition
JOURNAL OF DIFFERENTIAL EQUATIONS, 248(5), 1175–1211.
author keywords: Quasilinear parabolic and elliptic equations; Degenerate reaction-diffusion system; Maximal and minimal solutions; Asymptotic behavior of solution; Method of upper and lower solutions
Source: Web Of Science
Added: August 6, 2018
2010 journal article
Neural Network Analysis Identifies Scaffold Properties Necessary for In Vitro Chondrogenesis in Elastin-like Polypeptide Biopolymer Scaffolds
Tissue Engineering Part A, 16(1), 11–20.
MeSH headings : Animals; Cartilage / physiology; Chondrogenesis / physiology; Elastin / chemistry; Elastin / metabolism; Humans; Hydrogels / chemistry; Neural Networks, Computer; Tissue Engineering / methods
TL;DR:
The utility of artificial neural network tools for recognizing relationships in systems with competing parameters is demonstrated, toward the goal of optimizing and accelerating the design of biomaterial scaffolds for articular cartilage tissue engineering.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, Crossref, NC State University Libraries
Added: August 6, 2018
2010 journal article
Liouvillian solutions of linear difference-differential equations
JOURNAL OF SYMBOLIC COMPUTATION, 45(3), 287–305.
author keywords: Linear difference-differential equations; Galois theory; Liouvillian sequences
TL;DR:
An algorithm for deciding if linear difference-differential systems of prime order have Liouvillian solutions is proposed and characterized in terms of the Galois group of the systems.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
9. Industry, Innovation and Infrastructure
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
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