Works Published in 2004
Displaying works 41 - 60 of 145 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2004 journal article
A Fast Algorithm for the {Ornstein-Zernike} Equations
J. Comp. Phys., 197, 491–591.
Source: ORCID
Added: August 29, 2019
2004 book
Characterization and Computation of a "Good Control"
In Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik.
Contributors: S. Campbell n & R. März *
TL;DR:
The solution to the identification of which combinations of variables are good candidtates for control variables is shown to be related to a general optimization problem and extended to a large and important class of nonlinear systems.
(via Semantic Scholar)
Source: ORCID
Added: August 18, 2019
2004 journal article
Finding best approximation pairs relative to two closed convex sets in Hilbert spaces
Journal of Approximation Theory, 127(2), 178–192.
author keywords: best approximation pair; convex set; firmly nonexpansive map; Hilbert space; hybrid projection-reflection method; method of partial inverses; normal cone; projection; reflection; weak convergence
TL;DR:
This work investigates systematically the asymptotic behavior of AAR in the general case when the sets do not necessarily intersect and shows that the method produces best approximation pairs provided they exist.
(via Semantic Scholar)
doi.org (publisher)
Sources: Crossref, NC State University Libraries
Added: July 28, 2019
2004 journal article
Image Restoration Subject to a Total Variation Constraint
IEEE Transactions on Image Processing, 13(9), 1213–1222.
MeSH headings : Algorithms; Computer Graphics; Computer Simulation; Image Enhancement / methods; Image Interpretation, Computer-Assisted / methods; Information Storage and Retrieval / methods; Models, Statistical; Numerical Analysis, Computer-Assisted; Pattern Recognition, Automated; Reproducibility of Results; Sensitivity and Specificity; Signal Processing, Computer-Assisted; Subtraction Technique
TL;DR:
An alternative formulation in which total variation is used as a constraint in a general convex programming framework is proposed, which places no limitation on the incorporation of additional constraints in the restoration process and the resulting optimization problem can be solved efficiently via block-iterative methods.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(OpenAlex)
Sources: Crossref, NC State University Libraries
Added: July 28, 2019
2004 journal article
Proximal Methods for Cohypomonotone Operators
SIAM Journal on Control and Optimization, 43(2), 731–742.
author keywords: cohypomonotone operator; common zero problem; hypomonotone operator; method of multipliers; nonlinear programming; proximal point method; weak convergence
TL;DR:
Conditions are given for the viability and the weak convergence of an inexact, relaxed proximal point algorithm for finding a common zero of countably many cohypomonotone operators in a Hilbert space.
(via Semantic Scholar)
Sources: Crossref, NC State University Libraries
Added: July 28, 2019
2004 journal article
Solving monotone inclusions via compositions of nonexpansive averaged operators
Optimization, 53(5-6), 475–504.
author keywords: averaged operator; Douglas-Rach ford method; forward-backward method; monotone inclusion; monotone operator; proximal point algorithm
UN Sustainable Development Goal Categories
10. Reduced Inequalities
(OpenAlex)
Sources: Crossref, NC State University Libraries
Added: July 28, 2019
2004 book
Applied Mathematical Models in Human Physiology
TL;DR:
This work has shown that the ejection effect of the pumping heart affects flow and pressure in the systemic arteries and the baroreceptor model is a good fit for this purpose.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(OpenAlex)
Source: Crossref
Added: July 20, 2019
2004 journal article
Modeling Cerebral Blood Flow Control During Posture Change from Sitting to Standing
Cardiovascular Engineering, 4(1), 47–58.
TL;DR:
A mathematical model is presented that can predict blood flow and pressure during posture change from sitting to standing and uses a compartmental approach to describe pulsatile blood flow velocity and pressure in a number of compartments representing the systemic circulation.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(OpenAlex)
Sources: Crossref, NC State University Libraries
Added: July 20, 2019
2004 journal article
Non-negative cd-coefficients of Gorenstein∗ posets
Discrete Mathematics, 274(1-3), 323–329.
Contributors: N. Reading*
author keywords: cd-index; Charney-Davis conjecture; eulerian poset; flag f-vector; Gorenstein
TL;DR:
It is verified, up to rank 6, Stanley's conjecture that the coefficients in the cd-index of a Gorenstein^* ranked poset are non-negative.
(via Semantic Scholar)
Sources: Crossref, ORCID, NC State University Libraries
Added: July 1, 2019
2004 journal article
author keywords: Cambrian lattice; congruence uniform; Coxeter group; parabolic subgroup; poset of regions; shard; simplicial hyperplane arrangement; Tamari lattice; weak order
TL;DR:
An algorithm for determining the congruence lattice of the weak order for any finite Coxeter group and for a finite Coxeters group of type A or B is given and a directed graph on subsets or signed subsets is defined such that the transitive closure of the directed graph is the poset of join-irreducibles of the consequences of the strong order.
(via Semantic Scholar)
Sources: Crossref, ORCID, NC State University Libraries
Added: July 1, 2019
2004 journal article
Connectivity of h-complexes
Journal of Combinatorial Theory, Series A, 105(1), 111–126.
author keywords: discrete morse function; h-vector; Charney-Davis quantity
TL;DR:
This paper verifies a conjecture of Edelman and Reiner regarding the homology of the h-complex of a Boolean algebra by constructing a discrete Morse function with no low-dimensional critical cells, implying a lower bound on connectivity.
(via Semantic Scholar)
Source: Crossref
Added: June 30, 2019
2004 journal article
A Hodge decomposition for the complex of injective words
Pacific Journal of Mathematics, 214(1), 109–125.
Source: Crossref
Added: June 30, 2019
2004 journal article
Ideals of adjacent minors
Journal of Algebra, 277(2), 615–642.
Source: Crossref
Added: June 30, 2019
2004 journal article
A Divide-and-Conquer Algorithm for Generating Markov Bases of Multi-way Tables
Computational Statistics, 19(3), 347–366.
author keywords: contingency tables; decomposable graphical models; disclosure limitation; exact distributions; Grobner bases; Markov bases
TL;DR:
A divide-and-conquer technique for generating a Markov basis that connects all tables of counts having a fixed set of marginal totals based on decomposing the independence graph induced by these marginals is described.
(via Semantic Scholar)
Source: Crossref
Added: June 30, 2019
2004 conference paper
The North Carolina State University women in science and engineering program: a community for living and learning
American Society for Engineering Education.
Source: NC State University Libraries
Added: August 6, 2018
2004 journal article
Oversampling, quasi-affine frames, and wave packets
Applied and Computational Harmonic Analysis, 16(2), 111–147.
Source: NC State University Libraries
Added: August 6, 2018
2004 journal article
Polymorphism in the interleukin-10 promoter affects both provirus load and the risk of human T lymphotropic virus type I-associated myelopathy/tropical spastic paraparesis
JOURNAL OF INFECTIOUS DISEASES, 190(7), 1279–1285.
MeSH headings : Alleles; Gene Products, tax / physiology; Human T-lymphotropic virus 1 / genetics; Interleukin-10 / genetics; Paraparesis, Tropical Spastic / etiology; Paraparesis, Tropical Spastic / genetics; Polymorphism, Single Nucleotide; Promoter Regions, Genetic; Proviruses / isolation & purification; Risk; Viral Load
Sources: Web Of Science, NC State University Libraries, ORCID
Added: August 6, 2018
2004 journal article
Variance reduction for Monte Carlo methods to evaluate option prices under multi-factor stochastic volatility models
QUANTITATIVE FINANCE, 4(5), 597–606.
Source: Web Of Science
Added: August 6, 2018
2004 journal article
Modeling and optimal regulation of erythropoiesis subject to benzene intoxication
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 1(1), 15–48.
author keywords: hematopoiesis; age-structured model; existence and uniqueness; optimal control
TL;DR:
This investigation proved the existence and uniqueness of the solution of the system of coupled partial and ordinary differential equations, formulated an optimal control problem for the control of erythropoiesis and performed numerical simulations to compare the performance of the optimal feedback law and another feedback function based on the Hill function.
(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
2004 journal article
Dynamic multidrug therapies for HIV: Optimal and STI control approaches
Mathematical Biosciences and Engineering, 1(2), 223–241.
TL;DR:
A dynamic mathematical model is formulated that describes the interaction of the immune system with the human immunodeficiency virus and that permits drug "cocktail" therapies and supports a scenario in which STI therapies can lead to long-term control of HIV by the immune response system after discontinuation of therapy.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(OpenAlex)
Sources: NC State University Libraries, ORCID
Added: August 6, 2018
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