Works Published in 2004
Displaying works 1 - 20 of 26 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2004 conference paper
From Concept to Real-time Implementation: POD Based Reduced Order Control of a Cantilever Beam
In B. De Moor, B. Motmans, J. Willems, P. Van Dooren, & V. Blondel (Eds.), Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2004).
Ed(s): B. De Moor, B. Motmans, J. Willems, P. Van Dooren & V. Blondel
Event: 16th International Symposium on Mathematical Theory of Networks and Systems(MTNS 2004) at Catholic University of Leuven (K.U.Leuven-Belgium) on July 5-9, 2004
Source: NC State University Libraries
Added: January 11, 2021
2004 journal article
Well-posedness for a nonsmooth acoustic system
Applied Mathematics Letters, 17(3), 317–322.
author keywords: well-posedness; wave equations; acoustics
TL;DR:
An acoustic wave system with discontinuous coefficients and nonsmooth inputs is considered and existence, uniqueness, and continuous dependence on input data of weak solutions are established.
(via Semantic Scholar)
doi.org (publisher)
Source: Crossref
Added: February 24, 2020
2004 journal article
Modeling Cerebral Blood Flow Control During Posture Change from Sitting to Standing
Cardiovascular Engineering, 4(1), 47–58.
TL;DR:
A mathematical model is presented that can predict blood flow and pressure during posture change from sitting to standing and uses a compartmental approach to describe pulsatile blood flow velocity and pressure in a number of compartments representing the systemic circulation.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(OpenAlex)
Sources: Crossref, ORCID
Added: January 5, 2020
2004 journal article
On wavelet-based numerical homogenization
Multiscale Model. Simul., 3(1), 65–88.
author keywords: numerical homogenization; wavelets; Helmholtz equation
TL;DR:
This work shows how to improve the efficiency of this numerical homogenization method by choosing a different compact representation of the homogenized operator, and suggests an approach for obtaining a sparse representation that is significantly simpler than the alternative sparse representations.
(via Semantic Scholar)
Source: ORCID
Added: September 8, 2019
2004 journal article
On the application of lacunae-based methods to Maxwell's equations
Journal of Computational Physics, 199(1), 126–149.
author keywords: electromagnetic waves; continuity equation; solenoidal currents; partition of unity; unsteady propagation; unbounded domains; truncation; finite computational domain; sharp aft fronts; Huygens' principle; non-deteriorating method; long-term numerical integration
Sources: ORCID, Crossref
Added: September 6, 2019
2004 conference paper
Parallel Solution of the {Wigner-Poisson} Equations for {RTDs}
In Q. Qingping (Ed.), 2004 International Symposium on Distributed Computing and Applications to Business, Engineering and Science (pp. 672–676). Wuhan, China: Hubei Science and Technology Press.
Ed(s): Q. Qingping
Event: at Wuhan, China
Source: ORCID
Added: August 29, 2019
2004 conference paper
Simulation of Nondifferentiable Models for Groundwater Flow and Transport
In C. T. Miller, M. W. Farthing, W. G. Gray, & G. F. Pinter (Eds.), Proceedings of Computational Methods in Water Resources XV (pp. 939–952). Amsterdam: Elsevier.
Ed(s): C. Miller, M. Farthing, W. Gray & G. Pinter
Event: at Amsterdam
Source: ORCID
Added: August 29, 2019
2004 article
Implicit Filtering Revisited
Source: ORCID
Added: August 29, 2019
2004 conference paper
Enhancement of Numerical Computations of the {W}igner-{P}oisson Equations for Application to the Simulation of {TH}z-Frequency {RTD} Oscillators
In J. O. Jensen & J.-M. Theriault (Eds.), Proceedings of SPIE: Chemical and Biological Standoff Detection II Volume 5584, paper number 07 (pp. 42–51).
Ed(s): J. Jensen & J. Theriault
Event: North Carolina State University, Center for Research in Scientific Computation
Source: ORCID
Added: August 29, 2019
2004 conference paper
A Hydraulic Capture Application for Optimal Remeidation Design
In C. T. Miller, M. W. Farthing, W. G. Gray, & G. F. Pinter (Eds.), Proceedings of Computational Methods in Water Resources XV (pp. 1149–1158). Amsterdam: Elsevier.
Ed(s): C. Miller, M. Farthing, W. Gray & G. Pinter
Event: at Amsterdam
Source: ORCID
Added: August 29, 2019
2004 journal article
A Fast Algorithm for the {Ornstein-Zernike} Equations
J. Comp. Phys., 197, 491–591.
Source: ORCID
Added: August 29, 2019
2004 journal article
Modeling and optimal regulation of erythropoiesis subject to benzene intoxication
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 1(1), 15–48.
author keywords: hematopoiesis; age-structured model; existence and uniqueness; optimal control
TL;DR:
This investigation proved the existence and uniqueness of the solution of the system of coupled partial and ordinary differential equations, formulated an optimal control problem for the control of erythropoiesis and performed numerical simulations to compare the performance of the optimal feedback law and another feedback function based on the Hill function.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2004 journal article
Dynamic multidrug therapies for HIV: Optimal and STI control approaches
Mathematical Biosciences and Engineering, 1(2), 223–241.
TL;DR:
A dynamic mathematical model is formulated that describes the interaction of the immune system with the human immunodeficiency virus and that permits drug "cocktail" therapies and supports a scenario in which STI therapies can lead to long-term control of HIV by the immune response system after discontinuation of therapy.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(OpenAlex)
Sources: NC State University Libraries, ORCID
Added: August 6, 2018
2004 journal article
On the application of lacunae-based methods to Maxwell's equations
Journal of Computational Physics, 199(1), 126–149.
Sources: NC State University Libraries, ORCID
Added: August 6, 2018
2004 journal article
Approximate solution of singular integro-differential equations by reduction over Faber-Laurent polynomials
DIFFERENTIAL EQUATIONS, 40(12), 1764–1769.
Sources: Web Of Science, ORCID
Added: August 6, 2018
2004 journal article
Solution of a well-field design problem with implicit filtering
OPTIMIZATION AND ENGINEERING, 5(2), 207–234.
author keywords: implicit filtering; well field design; groundwater flow and transport
TL;DR:
This work solves a subset of community test problems from this application field using MODFLOW, a standard groundwater flow model, and IFFCO, an implicit filtering algorithm that was designed to solve problems similar to those of focus in this work.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2004 journal article
Probabilistic methods for addressing uncertainty and variability in biological models: application to a toxicokinetic model
MATHEMATICAL BIOSCIENCES, 192(2), 193–225.
author keywords: parameter estimation; biological modeling; population variability; model uncertainty; toxicokinetics; trichloroethylene
MeSH headings : Animals; Environmental Pollutants / pharmacokinetics; Environmental Pollutants / toxicity; Humans; Mathematics; Models, Biological; Models, Statistical; Pharmacokinetics; Trichloroethylene / pharmacokinetics; Trichloroethylene / toxicity
TL;DR:
Comparison with results obtained using a standard, deterministic parameter estimation method suggests that the probabilistic methods are better able to capture population variability and uncertainty in model parameters.
(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
2004 journal article
Existence-uniqueness and monotone approximation for an erythropoiesis age-structured model
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 289(2), 530–544.
author keywords: erythropoiesis; age-structured model; monotone approximation; existence uniqueness
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2004 journal article
Design of an electron gun using computer optimization
IEEE TRANSACTIONS ON PLASMA SCIENCE, 32(3), 1242–1250.
author keywords: cathode shape optimization; electron gun; optimal shape design; optimization techniques
TL;DR:
The methods of shape optimization are used to design the cathode of an electron gun and the dynamical equations modeling the electron particle path as well as the generalized shape optimization problem will be presented.
(via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018
2004 journal article
An immersed finite element space and its approximation capability
Numerical Methods for Partial Differential Equations, 20(3), 338–367.
author keywords: interface problems; immersed interface; finite element; error estimates
Sources: Web Of Science, ORCID, Crossref
Added: August 6, 2018
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