Works Published in 2007
Displaying works 121 - 140 of 180 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2007 article
Real-time implementation of a frequency shaping controller on a cantilever beam
APPLIED NUMERICAL MATHEMATICS, Vol. 57, pp. 778–790.
TL;DR:
The real time implementation of a control methodology for the attenuation of beam vibrations in a smart structure paradigm caused by a narrow-band exogenous force is presented using real-time partial state measurements.
(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
2007 article
Preface of the special issue of APNUM - International Conference on Scientific Computing in Nanjing, China
APPLIED NUMERICAL MATHEMATICS, Vol. 57, pp. 473–474.
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2007 journal article
Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 333(1), 472–499.
author keywords: quasilinear parabolic systems; nonlinear boundary conditions; existence-uniqueness theorems; asymptotic behavior of solutions; degenerate diffusion; porous medium problems; upper and lower solutions
doi.org (publisher)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Optimally sparse multidimensional representation using shearlets
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 39(1), 298–318.
author keywords: affine systems; curvelets; geometric image processing; shearlets; sparse representation; wavelets
TL;DR:
It is shown that shearlets, an affine-like system of functions recently introduced by the authors and their collaborators, are essentially optimal in representing 2-dimensional functions f which are C^2 except for discontinuities along $C^2$ curves.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Optimal control of obstacle problems by H-1-obstacles
APPLIED MATHEMATICS AND OPTIMIZATION, 56(1), 1–17.
author keywords: control of variational inequalities; optimality system; Moreau-Yosida approximation
Source: Web Of Science
Added: August 6, 2018
2007 conference paper
On exact and approximate interpolation of sparse rational functions
ISSAC 2007: International Symposium for Symbolic and Algebraic Computation: Proceedings.
TL;DR:
Five new algorithms for sparse rational function interpolation algorithm in the hybrid symbolic-numeric setting when the black box for the function returns real and complex values with noise are presented and analyzed.
(via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018
2007 journal article
On a nonlinear size-structured phytoplankton-zooplankton aggregation model
Dynamics of Continuous, Discrete & Impulsive Systems. Series A, Mathematical Analysis, 14(2), 265–285.
Source: NC State University Libraries
Added: August 6, 2018
2007 journal article
Numerical methods for quasi-linear elliptic equations with nonlinear boundary conditions
SIAM JOURNAL ON NUMERICAL ANALYSIS, 45(3), 1081–1106.
author keywords: density-dependent reaction diffusion; nonlinear boundary condition; monotone iterative schemes; upper and lower solutions; convergence of finite difference solution; heat conduction
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Enhanced features for design of traveling wave tubes using CHRISTINE-1D
IEEE TRANSACTIONS ON PLASMA SCIENCE, 35(4), 1056–1064.
author keywords: DIviding RECTangles (DIRECT); folded waveguide slow-wave circuit; goal functions; Nelder-Mead; optimization; traveling wave tubes (TWTs)
TL;DR:
The objectives of this paper are to investigate optimization techniques that may be better suited for this problem (for example, simplex type methods such as Nelder-Mead and Dividing Rectangles); to allow optimization of nonhelix TWTs; and to implement new optimization goal functions.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2007 journal article
Direct transcription solution of optimal control problems with higher order state constraints: theory vs practice
OPTIMIZATION AND ENGINEERING, 8(1), 1–19.
author keywords: optimal control; numerical methods; direct transcription; constraints
TL;DR:
This example illustrates several aspects of direct transcription codes that require a reinterpretation of the numerical and analytical theory in an industrial grade optimal control package that uses a direct transcription approach.
(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
2007 journal article
Computing the fine structure of real reductive symmetric spaces
JOURNAL OF SYMBOLIC COMPUTATION, 42(5), 497–510.
author keywords: symmetric spaces; Lie algebras of linear algebraic groups; computational Lie theory
TL;DR:
It is shown that this fine structure can be obtained from the setting of a complex reductive Lie group with a pair of commuting involutions, and a number of algorithms for computing the fine structure of the latter are given.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Channel flow of a binary mixture of rigid spheres described by the linearized Boltzmann equation and driven by temperature, pressure, and concentration gradients
SIAM JOURNAL ON APPLIED MATHEMATICS, 67(4), 1041–1063.
author keywords: rarefied gas dynamics; binary mixtures; rigid spheres; channel flow; linearized; Boltzmann equation
TL;DR:
An analytical version of the discrete‐ordinates method (the ADO method) is used with recently established analytical expressions for the rigid‐sphere scattering kernels in a study devoted to the flow of a binary gas mixture in a plane channel.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Are Buchberger's criteria necessary for the chain condition?
Journal of Symbolic Computation, 42(7), 717–732.
Source: NC State University Libraries
Added: August 6, 2018
2007 journal article
Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices
JOURNAL OF MULTIVARIATE ANALYSIS, 98(6), 1099–1122.
author keywords: random matrix; empirical distribution function of eigenvalues; Stieltjes transform
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2007 journal article
Affine Lie algebras and product-sum identities
JOURNAL OF ALGEBRA, 314(2), 538–552.
author keywords: Affine Lie algebras; character formulas; quintuple product identity; vertex operators
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2007 journal article
A two-scale model for an array of AFM's cantilever in the static case
MATHEMATICAL AND COMPUTER MODELLING, 46(5-6), 776–805.
author keywords: atomic force microscopy; microsystems arrays; multiscale modeling; homogenization
TL;DR:
A simplified model for an array of Atomic Force Microscopes operating in static mode based on the asymptotic theory of thin plates and the two-scale convergence introduced by M. Lenczner is presented.
(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
2007 article
A study of numerical methods for the level set approach
APPLIED NUMERICAL MATHEMATICS, Vol. 57, pp. 837–846.
TL;DR:
Two types of reinitialization methods are studied: a high order ''PDE'' approach and a second order Fast Marching method, with emphasis on the tube/narrow band implementation and accuracy considerations.
(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
2007 article
A fast iterative solver for scattering by elastic objects in layered media
APPLIED NUMERICAL MATHEMATICS, Vol. 57, pp. 811–820.
TL;DR:
A fast iterative solver for computing time-harmonic acoustic waves scattered by an elastic object in layered media using a domain decomposition preconditioner in the iterative solution of the resulting system of linear equations.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2007 article
A comparison of approximation methods for the estimation of probability distributions on parameters
APPLIED NUMERICAL MATHEMATICS, Vol. 57, pp. 753–777.
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2007 article
Viscoelasticity in polymers: Phenomenological to molecular mathematical modeling
Banks, H. T., Luke, N. S., & Samuels, J. R., Jr. (2007, July). NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Vol. 23, pp. 817–831.
author keywords: viscoelastic polymers; constitutive models; biotissue; stenosis; shear wave propagation
TL;DR:
A new constitutive model that combines the virtual stick‐slip continuum “molecular‐based” ideas of Johnson and Stacer with the Rouse bead chain ideas is reported and a two‐dimensional version of a model that accounts for stenosis‐driven shear wave propagation in biotissue is reported.
(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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