Works Published in 2000

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Displaying works 61 - 80 of 141 in total

Sorted by most recent date added to the index first, which may not be the same as publication date order.

2000 journal article

A coupled structural-magnetic strain and stress model for magnetostrictive transducers

Journal of Intelligent Material Systems and Structures, 11(2), 135–152.

By: M. Dapino*, R. Smith n, L. Faidley* & A. Flatau*

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

2000 journal article

Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation

JOURNAL OF NONLINEAR SCIENCE, 10(6), 603–638.

author keywords: BBM equation; generalized BBM equation; RLW equation; generalized RLW equation; stable solitary-waves; unstable solitary-waves
TL;DR: It is found that unstable solitary waves may evolve into several, stable solitary waves and that positive initial data need not feature solitary waves at all in its long-time asymptotics. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Remarks on the Schur-Howe-Sergeev duality

LETTERS IN MATHEMATICAL PHYSICS, 52(2), 143–153.

author keywords: Lie superalgebra q(n); Schur-Howe-Sergeev duality
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Feedback control methodologies for nonlinear systems

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 107(1), 1–33.

By: S. Beeler n, H. Tran n & H. Banks n

author keywords: nonlinear optimal feedback control; Hamilton-Jacobi-Bellman equation; state-dependent Riccati equation; interpolation of open-loop controls
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2000 chapter

Dynamics of a Volterra-Lotka competition model with diffusion and time delays, integral and integro differential equations

In R. P. Agarwal & D. O'Regan (Eds.), Integral and integrodifferential equations: Theory, method and applications (Series in mathematical analysis and applications ; v.2 ) (Vol. 2, pp. 269–277). Amsterdam: Gordon and Breach Science Publishers.

By: C. Pao

Ed(s): R. Agarwal & D. O'Regan

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

2000 journal article

Covariant field theory on frame bundles of fibered manifolds

JOURNAL OF MATHEMATICAL PHYSICS, 41(10), 6808–6823.

By: M. McLean n & L. Norris n

Source: Web Of Science
Added: August 6, 2018

2000 journal article

Vertex representations via finite groups and the McKay correspondence

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2000(4), 195–222.

By: I. Frenkel, N. Jing* & W. Wang

Contributors: I. Frenkel, N. Jing* & W. Wang

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

2000 journal article

Transformation approaches for simulating flow in variably saturated porous media

WATER RESOURCES RESEARCH, 36(4), 923–934.

TL;DR: It is shown that transformation methods can significantly improve solution efficiency and robustness compared to standard solution approaches and optimal transformation parameters depend upon auxiliary conditions, medium properties, and spatial and temporal discretization and are difficult to evaluate a priori. (via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation (Web of Science; OpenAlex)
13. Climate Action (Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2000 journal article

Stability of the human respiratory control system II. Analysis of a three-dimensional delay state-space model

JOURNAL OF MATHEMATICAL BIOLOGY, 41(1), 80–102.

By: J. Batzel* & H. Tran*

author keywords: respiratory control models; time delay; delay dependent stability; instability; numerical simulations
MeSH headings : Adult; Brain / physiology; Carbon Dioxide / physiology; Computer Simulation; Feedback / physiology; Heart Failure / physiopathology; Humans; Models, Biological; Oxygen / physiology; Respiratory Physiological Phenomena
TL;DR: The purpose of this paper is to study the stability characteristics of a feedback control system of five differential equations with delays in both the state and control variables presented by Khoo et al. in 1991 for modeling human respiration. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2000 journal article

Stability of the human respiratory control system I. Analysis of a two-dimensional delay state-space model

JOURNAL OF MATHEMATICAL BIOLOGY, 41(1), 45–79.

By: J. Batzel* & H. Tran*

author keywords: respiratory control models; time delay; delay-dependent stability; instability; numerical simulations
MeSH headings : Adult; Brain / physiology; Carbon Dioxide / physiology; Computer Simulation; Feedback / physiology; Heart Failure / physiopathology; Humans; Linear Models; Models, Biological; Oxygen / physiology; Respiratory Physiological Phenomena
TL;DR: Analysis of the stability characteristics of a feedback control system of five differential equations with delays in both the state and control variables presented by Khoo et al. in 1991 shows that the decreased cardiac output and increased delay resulting from the congestive heart condition can induce instability at certain control gain levels. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2000 journal article

Singularly perturbed control systems using non-commutative computer algebra

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 10(11-12), 983–1003.

By: J. Helton, F. Kronewitter, W. McEneaney* & M. Stankus

author keywords: non-commutative algebra; computer algebra; dynamic control; singular perturbation; control systems
Source: Web Of Science
Added: August 6, 2018

2000 journal article

On orbit closures of symmetric subgroups in flag varieties

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 52(2), 265–292.

By: M. Brion* & A. Helminck n

Source: Web Of Science
Added: August 6, 2018

2000 book

Derivatives in financial markets with stochastic volatility

Cambridge; New York: Cambridge University Press.

By: J. Fouque, G. Papanicolaou & K. Sircar

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

2000 journal article

Constitutive hydrolytic enzymes are associated with polygenic resistance of tomato to Alternaria solani and may function as an elicitor release mechanism

PHYSIOLOGICAL AND MOLECULAR PLANT PATHOLOGY, 57(5), 211–220.

By: C. Lawrence*, N. Singh*, J. Qiu*, R. Gardner n & S. Tuzun*

author keywords: Alternaria solani; Lycopersicon esculentum; pathogenesis-related proteins
TL;DR: Additional early blight resistant tomato breeding lines and susceptible genotypes were investigated for their constitutive levels of PR proteins supporting earlier reported findings and the possibility that constitutively produced hydrolytic enzymes may act as an elicitor-releasing mechanism in resistance to early blight of tomato is discussed. (via Semantic Scholar)
UN Sustainable Development Goal Categories
2. Zero Hunger (Web of Science)
13. Climate Action (Web of Science)
15. Life on Land (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2000 article

Comparison of computer simulations of total lung deposition to human subject data in healthy test subjects

Segal, R. A., Martonen, T. B., & Kim, C. S. (2000, July). JOURNAL OF THE AIR & WASTE MANAGEMENT ASSOCIATION, Vol. 50, pp. 1262–1268.

By: R. Segal n, T. Martonen* & C. Kim*

MeSH headings : Adult; Aerosols; Air Pollutants / pharmacokinetics; Computer Simulation; Humans; Inhalation Exposure; Lung / drug effects; Particle Size; Reproducibility of Results; Risk Assessment
TL;DR: The computer model used to predict the deposition fractions of PM within human lungs was previously validated with human subject data and was used as a control case, and may be applied to risk assessment efforts to estimate the inhalation hazards of airborne pollutants. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Approximation of the Kushner equation for nonlinear filtering

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 38(3), 893–915.

By: K. Ito n & B. Rozovskii*

author keywords: Kushner equation; operator-splitting method
TL;DR: A time integration method based on the operator splitting that relates to the operator-splitting method for the Zakai equation in nonlinear filtering problems is developed and analyzed. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Some comments on DAE theory for IRK methods and trajectory optimization

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 120(1-2), 109–131.

author keywords: implicit Runge-Kutta; optimization; differential algebraic equation
TL;DR: The discussion is in the context of a specific industrial code SOCS but the observations made here have relevance for a number of methods and have implications for what types of test problems a code should be tested on. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2000 journal article

Reduced order model compensator control of species transport in a CVD reactor

OPTIMAL CONTROL APPLICATIONS & METHODS, 21(4), 143–160.

By: G. Kepler n, H. Tran n & H. Banks n

author keywords: linear quadratic control; proper orthogonal decomposition; reduced order model; chemical vapour deposition; Dirichlet boundary control
UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2000 journal article

Preconditioning highly indefinite and nonsymmetric matrices

SIAM Journal on Scientific Computing, 22(4), 1333–1353.

By: M. Benzi, J. Haws & M. Tuma

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

2000 journal article

Periodic solutions of parabolic systems with time delays

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 251(1), 251–263.

By: C. Pao n

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

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