Works Published in 2003
Displaying works 61 - 80 of 130 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2003 journal article
A Free Energy Model for Hysteresis in Ferroelectric Materials
Journal of Intelligent Material Systems and Structures, 14(11), 719–739.
author keywords: hysteresis model; ferroelectric materials; piezoceramic compounds
oai.dtic.mil (repository)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
Sources: Web Of Science, Crossref, ORCID
Added: August 6, 2018
2003 journal article
A domain wall model for hysteresis in ferroelastic materials
Journal of Intelligent Material Systems and Structures, 14(7), 455–471.
Sources: NC State University Libraries, ORCID
Added: August 6, 2018
2003 journal article
The immersed interface method for elasticity problems with interfaces
Dynamics of Continuous, Discrete & Impulsive Systems. Series A, Mathematical Analysis, 10(5), 783–808.
Source: NC State University Libraries
Added: August 6, 2018
2003 journal article
Secondary circulation in granular flow through nonaxisymmetric hoppers
SIAM JOURNAL ON APPLIED MATHEMATICS, 64(2), 583–600.
author keywords: granular; similarity solution; perturbation theory
TL;DR:
This paper uses perturbation theory to compute a first-order correction to the (steady-state) velocity resulting from a small change in hopper geometry, either distortion of the cross section or tilting away from vertical.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Optimization of Acoustic Source Strength in the Problems of Active Noise Control
SIAM Journal on Applied Mathematics, 63(4), 1141–1183.
author keywords: noise cancellation; control sources; minimization of amplitude; volume velocity; surface monopoles
TL;DR:
A rigorous proof of global L1 minimality for both continuous and discrete optimization problems in the one-dimensional case and a conjecture that the same result holds in the general case, i.e., for multidimensional settings and domains of arbitrary shape.
(via Semantic Scholar)
Sources: Web Of Science, ORCID, Crossref
Added: August 6, 2018
2003 book
Bioterrorism: Mathematical modeling applications in homeland security
Philadelphia, PA: Society for Industrial and Applied Mathematics.
Source: NC State University Libraries
Added: August 6, 2018
2003 journal article
Semi-smooth Newton methods for variational inequalities of the first kind
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 37(1), 41–62.
author keywords: semi-smooth Newton methods; contact problems; variational inequalities; bilateral constraints; superlinear convergence
UN Sustainable Development Goal Categories
10. Reduced Inequalities
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Oxidation heat pulses in two-phase expansive flow in porous media
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 54(1), 48–83.
author keywords: combustion; porous media; multiphase flow; conservation laws
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Incorporation of variability into the modeling of viral delays in HIV infection dynamics
MATHEMATICAL BIOSCIENCES, 183(1), 63–91.
author keywords: HIV pathogenesis; eclipse phase; variability; non-linear delay equations
MeSH headings : Computer Simulation; HIV / physiology; HIV Infections / virology; Humans; Models, Biological; Nonlinear Dynamics; Numerical Analysis, Computer-Assisted; Probability; Virus Replication
TL;DR:
Methods for incorporating arbitrary variability for temporal delays in HIV pathogenesis into systems that cannot readily be reduced to a finite number of coupled ordinary differential equations are developed.
(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
2003 journal article
Global asymptotic stability of Lotka-Volterra 3-species reaction-diffusion systems with time delays
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 281(1), 186–204.
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
15. Life on Land
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Truncated Newton methods for optimization with inaccurate functions and gradients
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 116(1), 83–98.
author keywords: trust region methods; inexact Newton methods; optimal control
TL;DR:
Several modifications of the Steihaug truncated Newton method are discussed that can improve performance for unconstrained minimization problems that have functions and gradients given by black box codes with error control.
(via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2003 journal article
Pricing Asian options with stochastic volatility
QUANTITATIVE FINANCE, 3(5), 353–362.
UN Sustainable Development Goal Categories
8. Decent Work and Economic Growth
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Numerical approximation of blow-up of radially symmetric solutions of the nonlinear Schrodinger equation
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 25(1), 186–212.
author keywords: nonlinear Schrodinger equation; point blow-up; finite element methods; adaptive mesh refinement
TL;DR:
A numerical method based on a standard Galerkin finite element spatial discretization with piecewise linear, continuous functions and on an implicit Crank--Nicolson type time-stepping procedure is constructed to approximate smooth solutions of the initial-value problem for the radially symmetric nonlinear Schrodin\-ger equation with cubic nonlinearity.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
New formulations for interface problems in polar coordinates
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 25(1), 224–245.
author keywords: interface problems; singular source; delta function; level set function; discontinuous coefficients; polar coordinates; immersed interface method; smooth extension; fast Poisson solver
TL;DR:
A fast solver has been developed for the interface problems with a piecewise constant but a discontinuous coefficient using the new formulation in a polar coordinate system.
(via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2003 article
Early termination in sparse interpolation algorithms
JOURNAL OF SYMBOLIC COMPUTATION, Vol. 36, pp. 365–400.
author keywords: early termination; sparse polynomial; black box polynomial; interpolation; sparse interpolation; randomized algorithm
TL;DR:
Based on early termination, racing algorithms execute simultaneously dense and sparse algorithms that can be embedded as the univariate interpolation substep within Zippel's multivariate method.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2003 article
Algorithms for computing sparsest shifts of polynomials in power, Chebyshev, and Pochhammer bases
JOURNAL OF SYMBOLIC COMPUTATION, Vol. 36, pp. 401–424.
author keywords: sparse shifts; early termination; sparse polynomial; sparse interpolation; Chebyshev basis; Pochhammer basis
TL;DR:
These algorithms are based on the early termination version of sparse interpolation algorithms: for a symbolic set of interpolation points, a sparsest shift must be a root of the first possible zero discrepancy that can be used as the earlytermination test.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Versatile two-level Schwarz preconditioners for multiphase flow
COMPUTATIONAL GEOSCIENCES, 7(2), 91–114.
author keywords: aggregation; domain decomposition; multilevel Schwarz; multiphase flow
TL;DR:
This work studies a class of parallel preconditioners based on two-level Schwarz domain decomposition applied in a nonlinear two-phase flow numerical model based on an aggregation approach that has a straightforward implementation for a variety of applications arising in subsurface modeling.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2003 journal article
Stability of shear bands in an elastoplastic model for granular flow: The role of discreteness
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 13(11), 1629–1671.
author keywords: shear band; stability; granular; discrete model
Sources: Web Of Science, ORCID
Added: August 6, 2018
2003 article
Inclusion regions for matrix eigenvalues
Beattie, C., & Ipsen, I. C. F. (2003, January 1). LINEAR ALGEBRA AND ITS APPLICATIONS, Vol. 358, pp. 281–291.
Contributors: C. Beattie* & I. Ipsen n
author keywords: eigenvalue bounds; singular values; inclusion regions
UN Sustainable Development Goal Categories
10. Reduced Inequalities
(OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2003 journal article
Global attractor of a coupled finite difference reaction diffusion system with delays
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 288(1), 251–273.
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
15. Life on Land
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
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