Works Published in 2005
Displaying works 101 - 120 of 142 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2005 journal article
Time-reversal refocusing for point source in randomly layered media
WAVE MOTION, 42(3), 238–260.
author keywords: acoustic waves; random media; asymptotic theory; time reversal
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2005 article
Non-linear dynamics of thin films and fluid interfaces - Preface
Behringer, R. P., & Shearer, M. (2005, September 15). PHYSICA D-NONLINEAR PHENOMENA, Vol. 209, pp. VII-VIII.
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(Web of Science)
11. Sustainable Cities and Communities
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2005 article
Kinetics and nucleation for driven thin film flow
Levy, R., & Shearer, M. (2005, September 15). PHYSICA D-NONLINEAR PHENOMENA, Vol. 209, pp. 145–163.
author keywords: kinetics; nucleation; Marangoni; Riemann solver; thin films; hyperbolic conservation laws; traveling waves
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(Web of Science)
11. Sustainable Cities and Communities
(Web of Science)
15. Life on Land
(OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2005 journal article
A method for determination of optimal gaits with application to a snake-like serial-link structure
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 50(9), 1291–1306.
author keywords: locomotion; optimal gaits; numerical optimal control; reduction
TL;DR:
This method is the synthesis of techniques for computing reduced equations for robotic locomotion systems and a numerical optimal control strategy and provides scientific merit to hypotheses concerning observed locomotion phenomena amongst animals employing undulatory propulsive mechanisms.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2005 journal article
Population dynamics models in plant-insect herbivore-pesticide interactions
MATHEMATICAL BIOSCIENCES, 196(1), 39–64.
author keywords: plant-insect interactions; inverse problems; hypothesis testing; standard errors in dynamical models
MeSH headings : Animals; Aphids / physiology; Brassica / drug effects; Brassica / parasitology; Brassica / physiology; Insecta / physiology; Insecticides / pharmacology; Mathematics; Models, Biological; Plant Diseases / parasitology; Plant Physiological Phenomena; Plants / drug effects; Plants / parasitology; Population Dynamics
TL;DR:
This work considers several population dynamics models in investigating data from controlled experiments with aphids in broccoli patches surrounded by different margin types and three levels of insecticide spray to compare autonomous versus non-autonomous model dynamics.
(via Semantic Scholar)
oai.dtic.mil (repository)
UN Sustainable Development Goal Categories
2. Zero Hunger
(Web of Science)
13. Climate Action
(Web of Science)
15. Life on Land
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2005 journal article
Numerical solution of the nonlinear Helmholtz equation using nonorthogonal expansions
Journal of Computational Physics, 210(1), 183–224.
author keywords: Kerr media; intense laser light; diffraction; nonparaxiality; nonlinear self-focusing; backscattering; critical and subcritical nonlinearity; solitary waves; counter-propagation; fourth-order approximation; iterative solution; separation of variables; nonlocal artificial boundary conditions (ABCs); Sommerfeld radiation boundary conditions
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(Web of Science)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2005 journal article
Instability of travelling wave profiles for the Lax-Friedrichs scheme
Discrete and Continuous Dynamical Systems, 13(4), 877–899.
Source: NC State University Libraries
Added: August 6, 2018
2005 journal article
Cooperation and competition in modeling the dynamics of gross-domestic products of nations
APPLIED MATHEMATICS AND COMPUTATION, 163(2), 991–1021.
TL;DR:
Two major models of the gross-domestic product of four interacting nations are derived, one is an ordinary differential game of pursuit and the other is a hereditary one which utilizes the principle of rational expectations.
(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
2005 journal article
Canonical transformations of local functionals and sh-Lie structures
JOURNAL OF GEOMETRY AND PHYSICS, 53(4), 365–391.
author keywords: Poisson geometry; de Rham complex; local functional; sh-Lie algebra; jet bundle
Source: Web Of Science
Added: August 6, 2018
2005 article
A probabilistic multiscale approach to hysteresis in shear wave propagation in biotissue
MULTISCALE MODELING & SIMULATION, Vol. 3, pp. 395–412.
author keywords: multiscale modeling; hysteresis; wave propagation; biotissues; probability measures; Prohorov metric
TL;DR:
A theoretical framework for treating hysteresis as multiscale phenomena which must be averaged across distributions of internal variables is presented, which entail probability measure-dependent partial differential equations for which well-posedness is established.
(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
2005 journal article
On computing minimal realizable spectral radii of non-negative matrices
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 12(1), 77–86.
author keywords: non-negative matrices; Perron-Frobenius theorem; inverse eigenvalue problem; minimal realizable spectral radius; bisection method
TL;DR:
This paper proposes a simple bisection procedure to approximate the location of ℛ(ℒ︁) and offers a quick numerical way to check whether a given n‐tuple could be the spectrum of a certain non‐negative matrix.
(via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2005 article
Multiplicity one for representations corresponding to spherical distribution vectors of class rho
Helminck, A. G., & Helminck, G. F. (2005, March). ACTA APPLICANDAE MATHEMATICAE, Vol. 86, pp. 21–48.
author keywords: Hilbert subspace; distribution vector; spherical distribution; Plancherel formula
Source: Web Of Science
Added: August 6, 2018
2005 journal article
Equivalence of quantum states under local unitary transformations
PHYSICS LETTERS A, 342(1-2), 77–81.
Contributors: S. Fei & N. Jing*
author keywords: local unitary transformation; quantum states; tensor decomposable
UN Sustainable Development Goal Categories
9. Industry, Innovation and Infrastructure
(Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2005 journal article
Connectivity in the set of Gabor frames
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 18(1), 123–136.
author keywords: connectivity; frames; Gabor systems
TL;DR:
It is shown exactly how to modify a Gabor frame or Parseval frame to obtain a new one with the same property, and this construction is a modification of a method used in [Glas. 38 (58) (2003) 75–98] to study the connectivity of affineParseval frames.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
9. Industry, Innovation and Infrastructure
(Web of Science)
11. Sustainable Cities and Communities
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2005 journal article
Conjugacy decomposition of reductive monoids
MATHEMATISCHE ZEITSCHRIFT, 250(4), 841–853.
Source: Web Of Science
Added: August 6, 2018
2005 journal article
A computational and statistical framework for multidimensional domain acoustooptic material interrogation
QUARTERLY OF APPLIED MATHEMATICS, 63(1), 156–200.
author keywords: electromagnetic-acoustic interaction; Debye dielectric materials; pulsed antenna source microwaves; inverse problems; FDTD; statistical inference
Source: Web Of Science
Added: August 6, 2018
2005 journal article
On wavelet-based numerical homogenization
MULTISCALE MODELING & SIMULATION, 3(1), 65–88.
Contributors: A. Chertock n & D. Levy
author keywords: numerical homogenization; wavelets; Helmholtz equation
TL;DR:
This work shows how to improve the efficiency of this numerical homogenization method by choosing a different compact representation of the homogenized operator, and suggests an approach for obtaining a sparse representation that is significantly simpler than the alternative sparse representations.
(via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2005 journal article
On the complexity of computing determinants
COMPUTATIONAL COMPLEXITY, 13(3-4), 91–130.
author keywords: integer matrix; matrix determinant; characteristic polynomial; Smith normal form; bit complexity; division-free complexity; randomized algorithm; multivariable control theory; realization; matrix sequence; block Wiedemann algorithm; block Lanczos algorithm
TL;DR:
New baby steps/giant steps algorithms of asymptotically fast running time for dense matrix problems that deterministically compute the determinant, characteristic polynomial and adjoint of A with n3.2+o(1) and O(n2.697263) ring additions, subtractions and multiplications are presented.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2005 journal article
Quadratic optimization in the problems of active control of sound
Applied Numerical Mathematics, 52(4), 381–400.
author keywords: noise cancellation; active control sources; volumetric and surface controls; general solution; monopoles and dipoles; radiation of waves; complex-valued quantities; L-2-minimization; overdetermined systems; least squares; unconstrained minimization; constrained minimization
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2005 journal article
Gap detection with electromagnetic terahertz signals
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 6(2), 381–416.
author keywords: electromagnetic interrogation; dielectrics; terahertz; nonlinear optimization
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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