Mathematics

Works Published in 2003

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Displaying works 101 - 120 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

Convergence of iterative split-operator approaches for approximating nonlinear reactive transport problems

ADVANCES IN WATER RESOURCES, 26(3), 247–261.

By: J. Kanney*, C. Miller * & C. Kelley n 

author keywords: reactive transport; nonlinear mass transfer; numerical solution; operator splitting; iterative split-operator; convergence rate
TL;DR: This work uses theoretical analysis and numerical experiments to investigate the convergence rate of the iterative split-operator approach for solving nonlinear reactive transport problems. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2003 journal article

Acoustic attenuation employing variable wall admittance

Directions in Mathematical Systems Theory and Optimization (Lecture Notes in Control and Information Sciences; 286), (2003), 15–26.

By: H. Banks, K. Furati, K. Ito, N. Luke & C. Smith

Ed(s): C. A. Rantzer

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

2003 journal article

New roles for the gamma rhythm: Population tuning and preprocessing for the beta rhythm

JOURNAL OF COMPUTATIONAL NEUROSCIENCE, 14(1), 33–54.

By: M. Olufsen n, M. Whittington *, M. Camperi* & N. Kopell *

author keywords: gamma rhythms; beta rhythms; cell assembly formation; plasticity; hippocampus; neocortex; preprocessing
MeSH headings : Animals; Beta Rhythm; Computer Simulation; Electric Stimulation; Electroencephalography; Excitatory Postsynaptic Potentials; Hippocampus / cytology; Hippocampus / physiology; In Vitro Techniques; Interneurons / physiology; Male; Models, Neurological; Neural Inhibition; Neural Networks, Computer; Neuronal Plasticity / physiology; Noise; Oscillometry; Periodicity; Pyramidal Cells / physiology; Rats; Rats, Sprague-Dawley; Reaction Time / physiology; Time Factors
TL;DR: It is shown that gamma and beta rhythms have different properties with respect to creation of cell assemblies, and experimental evidence showing that such a separation can occur in hippocampal slices is presented. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Free energy model for hysteresis in magnetostrictive transducers

JOURNAL OF APPLIED PHYSICS, 93(1), 458–466.

By: R. Smith n , M. Dapino * & S. Seelecke n

UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2003 article

Globally convergent algorithms for nonsmooth nonlinear equations in computational fluid dynamics

Coffey, T., McMullan, R. J., Kelley, C. T., & McRae, D. S. (2003, March 1). JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Vol. 152, pp. 69–81.

By: T. Coffey n, R. McMullan n, C. Kelley n  & D. McRae n

author keywords: pseudo-transient continuation; nonlinear equations; steady-state solutions; global convergence; splitting methods; Euler equations; MUSCL approximation
TL;DR: A nonsmooth discretization of the Euler equations for flow in a nozzle is solved with splitting method which is in turn globalized with the method of pseudo-transient continuation. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2003 journal article

The linearized Boltzmann equation: a concise and accurate solution of the temperature-jump problem

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 77(4), 417–432.

By: C. Siewert n

author keywords: Boltzmann equation; rarefied gas dynamics; temperature-jump problem
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Numerical simulation of aerated powder consolidation

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 38(8), 1185–1194.

By: K. Coffey n & P. Gremaud n

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

2003 journal article

Multiple stable periodic solutions in a model for hormonal control of the menstrual cycle

BULLETIN OF MATHEMATICAL BIOLOGY, 65(1), 157–173.

By: L. Clark, P. Schlosser & J. Selgrade

UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Maxwell-systems with nonlinear polarization

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 4(3), 483–501.

By: H. Banks n & G. Pinter*

UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Global asymptotic behavior of a two-dimensional difference equation modelling competition

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 52(7), 1765–1776.

By: D. Clark*, M. Kulenovic * & J. Selgrade n

author keywords: asymptotic behavior; monotonicity; stability; stable manifold
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Enhanced growth of tumors in SPARC null mice is associated with changes the ECM

JOURNAL OF CLINICAL INVESTIGATION, 111(4), 487–495.

By: R. Brekken*, P. Puolakkainen *, D. Graves*, G. Workman*, . Lubkin  n & E. Sage*

UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2003 journal article

Development of a biologically-based controlled growth and differentiation model for developmental toxicology

JOURNAL OF MATHEMATICAL BIOLOGY, 46(1), 1–16.

By: S. Whitaker, H. Tran*  & C. Portier

author keywords: teratology; multistate process; cellular kinetics; numerical simulation
MeSH headings : Animals; Cell Differentiation / physiology; Cell Division / physiology; Markov Chains; Models, Biological; Stem Cells / cytology; Stem Cells / physiology; Stochastic Processes; Toxicology / methods
TL;DR: A mathematical model is developed with a highly controlled birth and death process for precursor cells that is both biologically- and statistically-based and easily amenable to the expansion of more complicated models of the developmental process such as the one presented here. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2003 book

Optimal control of the growth of wealth of nations

London; New York: Taylor & Francis.

By: E. Chukwu

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

2003 journal article

Zone determinant expansions for nuclear lattice simulations

PHYSICAL REVIEW C, 68(6).

By: D. Lee n & I. Ipsen  n

Contributors: D. Lee n & I. Ipsen  n

Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2003 journal article

Time-reversal aperture enhancement

MULTISCALE MODELING & SIMULATION, 1(2), 239–259.

By: J. Fouque* & K. Solna

author keywords: wave propagation; random media; superresolution; time-reversal; diffusion approximation
TL;DR: This paper gives a complete analysis of time- reversal of waves emanating from a point source and propagating in a randomly layered medium and shows that random medium fluctuations actually enhance the spatial refocusing around the initial source position. (via Semantic Scholar)
UN Sustainable Development Goal Categories
14. Life Below Water (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Solving a nonlinear problem in magneto-rheological fluids using the immersed interface method

JOURNAL OF SCIENTIFIC COMPUTING, 19(1-3), 253–266.

By: K. Ito n & Z. Li n 

author keywords: non-linear interface problem; magneto-rheological fluid; maximum principal preserving scheme; immersed interface method; level set method; substitution method
TL;DR: A finite difference method based on Cartesian grids and the maximum principle preserving immersed interface method is proposed for the nonlinear elliptic interface problems discussed in this paper and is nearly second order accurate in the infinity norm. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2003 journal article

Singular perturbations in option pricing

SIAM JOURNAL ON APPLIED MATHEMATICS, 63(5), 1648–1665.

By: J. Fouque*, G. Papanicolaou, R. Sircar & K. Solna

author keywords: mathematical finance; option pricing; stochastic volatility; singular perturbations
TL;DR: It is shown that, in the presence of time scales between the main observed process and the volatility driving process, asymptotic methods are very efficient in capturing the effects of random volatility in simple robust corrections to constant volatility formulas. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Semiclean rings

COMMUNICATIONS IN ALGEBRA, 31(11), 5609–5625.

By: Y. Ye n

author keywords: clean rings; semiclean rings; group rings
UN Sustainable Development Goal Categories
15. Life on Land (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2003 journal article

On the solvability of nonlinear discrete boundary value problems

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 9(9), 863–867.

By: J. Rodriguez*

author keywords: difference equations; boundary value problems; degree theory
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Nonlinear discrete systems with global boundary conditions

Journal of Mathematical Analysis and Applications, 286(2), 782–794.

By: J. Rodriguez

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

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