Works Published in 2003

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Displaying works 81 - 100 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 article

Finite difference reaction-diffusion systems with coupled boundary conditions and time delays (vol 272, pg 407, 2002)

Journal of Mathematical Analysis and Applications, Vol. 288, p. 870.

By: C. Pao

Source: NC State University Libraries
Added: August 6, 2018

2003 journal article

Accelerated monotone iterations for numerical solutions of nonlinear elliptic boundary value problems

Computers & Mathematics With Applications, 46(37905), 1535–1544.

By: C. Pao

Source: NC State University Libraries
Added: August 6, 2018

2003 article

A note on unifying absolute and relative perturbation bounds

Ipsen, I. C. F. (2003, January 1). LINEAR ALGEBRA AND ITS APPLICATIONS, Vol. 358, pp. 239–253.

Contributors: I. Ipsen n

author keywords: invariant subspace; eigenvalue; absolute bound; relative bound; subspace angle; departure from normality
Sources: Web Of Science, ORCID
Added: August 6, 2018

2003 journal article

Semi-smooth Newton methods for state-constrained optimal control problems

SYSTEMS & CONTROL LETTERS, 50(3), 221–228.

By: K. Ito n & K. Kunisch*

author keywords: semi-smooth Newton methods; state-constrained optimal control; superlinear convergence; augmented Lagrangians
TL;DR: Convergence of the regularized problems is proved and numerical tests confirm the theoretical results and demonstrate the efficiency of the proposed methodology. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2003 journal article

On robust matrix completion with prescribed eigenvalues

FUTURE GENERATION COMPUTER SYSTEMS, 19(7), 1139–1153.

Contributors: M. Chu n, F. Diele* & I. Sgura*

author keywords: matrix completion; inverse eigenvalue problem; robust solution; isospectral matrices; continuation method; steepest descent gradient flow
TL;DR: This paper investigates some continuation techniques by recasting the completion problem as an optimization of the distance between the isospectral matrices with the prescribed eigenvalues and the affine matriceswith the prescribed entries. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2003 journal article

New Cartesian grid methods for interface problems using the finite element formulation

NUMERISCHE MATHEMATIK, 96(1), 61–98.

By: Z. Li n, T. Lin* & X. Wu*

TL;DR: New finite element methods based on Cartesian triangulations are presented for two dimensional elliptic interface problems involving discontinuities in the coefficients, and these new methods can be used as finite difference methods. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2003 journal article

Invariant measures of nonholonomic flows with internal degrees of freedom

NONLINEARITY, 16(5), 1793–1807.

By: D. Zenkov n & A. Bloch*

UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Heat transfer and evaporation/condensation problems based on the linearized Boltzmann equation

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 22(4), 391–408.

By: C. Siewert n

author keywords: Boltzmann equation; rarefied gas dynamics; heat transfer; evaporation-condensation
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Error estimates for random boundary value problems with applications to a hanging cable problem

Mathematical and Computer Modelling, 38(10), 1037–1050.

By: G. Ladde, N. Medhin & M. Sambandham

Source: NC State University Libraries
Added: August 6, 2018

2003 journal article

Viscous-slip, thermal-slip, and temperature-jump coefficients as defined by the linearized Boltzmann equation and the Cercignani-Lampis boundary condition

PHYSICS OF FLUIDS, 15(6), 1696–1701.

By: C. Siewert n

Source: Web Of Science
Added: August 6, 2018

2003 chapter

Optimization in the Context of Active Control of Sound

In Computational Science and Its Applications — ICCSA 2003 (Vol. 2668, pp. 801–810).

By: J. Lončarić* & S. Tsynkov n

TL;DR: A problem of eliminating the unwanted time-harmonic noise on a predetermined region of interest is solved by active means by introducing the additional sources of sound, called controls, that generate the appropriate annihilating signal (anti-sound), and the general solution for controls has been obtained previously. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2003 journal article

Off-axis neutrino scattering in gamma-ray burst central engines

ASTROPHYSICAL JOURNAL, 583(2), 833–841.

By: W. Miller*, N. George n, A. Kheyfets n & J. McGhee*

author keywords: black hole physics; gamma rays : bursts; gravitation; neutrinos
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Modeling of HPA and HPA linearization through a predistorter: Global Broadcasting Service applications

IEEE TRANSACTIONS ON BROADCASTING, 49(2), 132–141.

By: T. Nguyen*, J. Yoh*, C. Lee*, H. Tran n & D. Johnson*

author keywords: Global Broadcasting Service; high power amplifier; predistorter
TL;DR: A technique to linearize the high power amplifier (HPA) through a predistorter (PD) based on the extension of Saleh's model for HPA and a simple linear-log model is presented. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2003 journal article

Formation of discontinuities in flux-saturated degenerate parabolic equations

NONLINEARITY, 16(6), 1875–1898.

Sources: Web Of Science, ORCID
Added: August 6, 2018

2003 journal article

Efficient steady-state solution techniques for variably saturated groundwater flow

ADVANCES IN WATER RESOURCES, 26(8), 833–849.

author keywords: Richards' equation; steady-state; pseudo-transient continuation
TL;DR: This work examines the use of pseudo-transient continuation as well as Newton’s method combined with standard globalization techniques for steady-state problems in heterogeneous domains, and investigates the methods’ performance with direct and preconditioned Krylov iterative linear solvers. (via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2003 journal article

Alterations in the mechanical properties of the human chondrocyte pericellular matrix with osteoarthritis

JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 125(3), 323–333.

MeSH headings : Adult; Aged; Cartilage, Articular / physiopathology; Chondrocytes; Computer Simulation; Elasticity; Extracellular Matrix; Humans; In Vitro Techniques; Micromanipulation / methods; Middle Aged; Models, Biological; Physical Stimulation / methods; Reproducibility of Results; Sensitivity and Specificity; Stress, Mechanical
TL;DR: Findings suggest that the PCM has an important influence on the stress-strain environment of the chondrocyte that potentially varies with depth from the cartilage surface and the significant loss of PCM stiffness that was observed in osteoarthritic cartilage may affect the magnitude and distribution of biomechanical signals perceived by the chONDrocytes. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, ORCID
Added: August 6, 2018

2003 article

Air quality research: perspective from climate change modelling research

Semazzi, F. (2003, June). ENVIRONMENT INTERNATIONAL, Vol. 29, pp. 253–261.

By: F. Semazzi n

author keywords: air quality; climate change; climate models
MeSH headings : Air Pollutants; Climate; Greenhouse Effect; Industry; Models, Theoretical; Risk Assessment; Social Conditions
TL;DR: This paper explores the question of air quality from the climate change modelling perspective and reviews recent research advances on the cause-effect relationships between atmospheric air composition and climate change, primarily based on the IPCC assessment of climate change over the past decade. (via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Journal of Scientific Computing, 18(2), 155–189.

By: S. Tsynkov n

author keywords: linear differential operator; discontinuous solution; distribution; monopole; dipole; fundamental solution; convolution; boundary integral; single- and double-layer potentials; surface density of the potential; linear difference operator; multi-layer grid boundary; discontinuous grid function; discrete monopole and dipole layers; Calderon's potential; difference potential
TL;DR: The motivation for introducing and analyzing the discrete surface potentials was provided by the problems of active shielding and control of sound, in which the source terms that drive the potentials are interpreted as the acoustic control sources that cancel out the unwanted noise on a predetermined region of interest. (via Semantic Scholar)
Sources: Web Of Science, ORCID, Crossref
Added: August 6, 2018

2003 journal article

Three-dimensional elliptic solvers for interface problems and applications

JOURNAL OF COMPUTATIONAL PHYSICS, 184(1), 215–243.

By: S. Deng*, K. Ito n & Z. Li n

author keywords: 3D elliptic interface problem; irregular domain; discontinuous coefficient; discrete maximum preserving scheme; quadratic optimization; algebraic multigrid; shape identification; level set method
TL;DR: Two second-order accurate elliptic solvers using Cartesian grids are presented for three-dimensional interface problems in which the coefficients, the source term, the solution and its normal flux may be discontinuous across an interface. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2003 journal article

Real-valued, low rank, circulant approximation

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 24(3), 645–659.

By: M. Chu* & R. Plemmons*

Contributors: M. Chu* & R. Plemmons*

author keywords: real-valued circulant matrix; lower rank; nearest approximation; conjugate-even; fast Fourier transform; truncated singular value decomposition
TL;DR: This paper investigates the case of approximating a given target matrix by a real-valued circulant matrix of a specified, fixed, and low rank by proposing a fast Fourier transform (FFT)-based numerical procedure. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

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