Works Published in 2001
Displaying works 21 - 40 of 134 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2001 journal article
An Aggregation-based Domain Decomposition Preconditioner for Groundwater Flow
SIAM J. Sci. Comp., 23, 430–441.
Source: ORCID
Added: August 29, 2019
2001 report
Optimal Design for Problems Involving Flow and Transport Phenomena in Saturated Subsurface Systems
(No. CRSC-TR01-33). North Carolina State University, Center for Research in Scientific Computation.
Source: ORCID
Added: August 29, 2019
2001 conference paper
Nonlinear Equations: Contraction-Mapping Principle
In C. A. Floudas & P. M. Pardalos (Eds.), Encyclopedia of Optimization (pp. two pages). Dordrecht: Kluwer.
Ed(s): C. Floudas & P. Pardalos
Event: at Dordrecht
Source: ORCID
Added: August 29, 2019
2001 journal article
On the numerical robustness of the parallel projection method in signal synthesis
IEEE Signal Processing Letters, 8(2), 45–47.
author keywords: convex constraint; numerical errors; parallel computing; projection; signal recovery; signal synthesis
TL;DR:
It is shown that the convergence properties of PPM remain valid under a simple summability condition on the relaxed averages of the errors, suggesting that the signal that least violates constraints in an average squared-distance sense remains valid.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities
(OpenAlex)
Sources: Crossref, ORCID
Added: August 18, 2019
2001 journal article
A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces
Mathematics of Operations Research, 26(2), 248–264.
author keywords: convex feasibility; Fejer-monotonicity; firmly nonexpansive mapping; fixed point; Haugazeau; maximal monotone operator; projection; proximal point algorithm; resolvent; subgradient algorithm
TL;DR:
A simple modification of iterative methods arising in numerical mathematics and optimization that makes them strongly convergent without additional assumptions is presented.
(via Semantic Scholar)
Sources: Crossref, ORCID
Added: August 18, 2019
2001 chapter
Quasi-Fejérian Analysis of Some Optimization Algorithms
In Studies in Computational Mathematics (pp. 115–152).
TL;DR:
A quasi-Fejer sequence is a sequence which satisfies the standard Fejer monotonicityproperty to within an additional error term and is shown to provide a powerful framework to analyze the convergence of a wide range of optimization algorithms in a systematic fashion.
(via Semantic Scholar)
Sources: Crossref, ORCID
Added: August 18, 2019
2001 journal article
A lumped parameter model for cerebral blood flow regulation
Advances in Bioengineering, 51, 277–278.
Source: NC State University Libraries
Added: July 28, 2019
2001 chapter
A Cartesian Perfectly Matched Layer for the Helmholtz Equation
In Tourrette Loı̈c & L. Halpern (Eds.), Absorbing Boundaries and Layers, Domain Decomposition Methods. Applications to Large Scale Computations (pp. 279–309). New York: Nova Science Publishers.
Ed(s): L. Tourrette & L. Halpern
Source: NC State University Libraries
Added: July 28, 2019
2001 other
The invariant variational bicomplex
citeseerx.ist.psu.edu (repository)
Sources: Crossref, ORCID
Added: July 28, 2019
2001 other
Inductive construction of moving frames
Sources: Crossref, ORCID
Added: July 28, 2019
2001 journal article
The dependence of viral parameter estimates on the assumed viral life cycle: limitations of studies of viral load data
Proceedings of the Royal Society of London. Series B: Biological Sciences, 268(1469), 847–854.
author keywords: virus dynamics; parameter estimation; basic reproductive number; cell life span; non-exponential distribution
MeSH headings : Antiviral Agents / pharmacology; Humans; Models, Biological; Virus Diseases / drug therapy; Virus Diseases / virology; Virus Physiological Phenomena; Virus Replication; Viruses / drug effects; Viruses / growth & development
TL;DR:
Investigating how parameter estimates obtained by fitting mathematical models to infectious disease data depend on the assumptions made concerning the viral life cycle finds that estimates of the basic reproductive number obtained using viral load data collected during the initial stages of infection can depend quite sensitively on these assumptions.
(via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 27, 2019
2001 journal article
Destabilization of epidemic models with the inclusion of realistic distributions of infectious periods
Proceedings of the Royal Society of London. Series B: Biological Sciences, 268(1470), 985–993.
author keywords: epidemic model; infectious period distribution; seasonally forced dynamics
MeSH headings : Child; Epidemiologic Methods; Humans; Measles / epidemiology; Models, Statistical; Periodicity; Probability; Seasons; Virus Diseases / epidemiology; Virus Diseases / transmission
TL;DR:
This study illustrates how detailed dynamical properties of a model may depend in an important way on the assumptions made in the formulation of the model.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(OpenAlex)
Sources: Crossref, ORCID
Added: July 27, 2019
2001 journal article
Realistic Distributions of Infectious Periods in Epidemic Models: Changing Patterns of Persistence and Dynamics
Theoretical Population Biology, 60(1), 59–71.
MeSH headings : Child; Epidemiologic Studies; Humans; Incidence; Models, Theoretical; Population Density; Population Dynamics; Seasons; Virus Diseases / epidemiology
TL;DR:
The effects of including more realistic descriptions of the infectious period within SIR (susceptible/infectious/recovered) models are studied and less dispersed distributions are seen to have two important epidemiological consequences.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(OpenAlex)
Sources: Crossref, ORCID
Added: July 27, 2019
2001 journal article
Infection dynamics on scale-free networks
Physical Review E, 64(6), 066112.
TL;DR:
Approximate expressions for the final size of an epidemic in an infinite closed population and for the dependence of infection probability on an individual's degree of connectivity within the population are derived.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(OpenAlex)
Sources: Crossref, ORCID
Added: July 27, 2019
2001 journal article
Stability Radius and Optimal Scaling of Discrete-Time Periodic Systems
IFAC Proceedings Volumes, 34(12), 179–182.
Sources: Crossref, ORCID
Added: July 27, 2019
2001 chapter
A One-Dimensional Fluid Dynamic Model of the Systemic Arteries
In Computational Modeling in Biological Fluid Dynamics (pp. 167–187).
TL;DR:
A structured tree in which the root impedance is calculated using a semi-analytical approach provides a dynamical boundary condition based on physiological principles which is computationally feasible.
(via Semantic Scholar)
Source: Crossref
Added: July 20, 2019
2001 journal article
Theory of Finite Pseudoalgebras
Advances in Mathematics, 162(1), 1–140.
Source: Crossref
Added: July 20, 2019
2001 journal article
Particle Methods for Dispersive Equations
Journal of Computational Physics, 171(2), 708–730.
Contributors: A. Chertock* & D. Levy
author keywords: particle methods; dispersive equations; diffusion-velocity; dispersion-velocity; compacton equations
TL;DR:
A new dispersion-velocity particle method is introduced for approximating solutions of linear and nonlinear dispersive equations for the first time in which particle methods are being used for solving such equations.
(via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 20, 2019
2001 journal article
SIAG/LA and ILAS mark twenty years of progress at joint applied linear algebra meeting
SIAM News, 34(1).
Source: NC State University Libraries
Added: July 10, 2019
2001 journal article
High-Order Two-Way Artificial Boundary Conditions for Nonlinear Wave Propagation with Backscattering
Journal of Computational Physics, 171(2), 632–677.
author keywords: artificial boundary conditions (ABCs); two-way ABCs; radiation; Helmholtz equation; nonlinearity; nonparaxiality; fourth-order schemes; self-focusing; backscattering
TL;DR:
The two-way ABCs are constructed for the nonlinear Helmholtz equation, which models a continuous-wave (CW) laser beam propagation in amedium with nonlinear index of refraction, i.e., generation of waves in the opposite direction to that of the incoming signal.
(via Semantic Scholar)
Sources: Crossref, ORCID
Added: June 30, 2019
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