Mathematics

Works Published in 2000

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Displaying works 41 - 60 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 conference paper

Computational experience with exploiting order variation in mesh refinement for direct transcription methods

Proceedings: 16th IMACS World Congress. New Brunswick, NJ: IMACS.

By: J. Betts, N. Biehn, S. Campbell  & W. Huffman

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

2000 journal article

The order of groups satisfying a converse to Lagrange's theorem

MATHEMATIKA, 47(93-94), 197–204.

By: N. Jing n 

Contributors: N. Jing n 

UN Sustainable Development Goal Categories
15. Life on Land (Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2000 conference paper

Rapid model selection and the separability index

Fault detection, supervision and safety for technical processes 2000 (SAFEPROCESS 2000): A proceedings volume from the 4th IFAC Symposium, Budapest, Hungary, 14-16 June 2000, 1187–1192.

By: S. Campbell n , K. Horton n, R. Nikoukhah* & F. Delebecque*

TL;DR: Under the assumption that the noise energy is bounded, the separability index is defined as the least energy of a proper auxiliary signal. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018

2000 conference paper

Convergence of nonconvergent IRK discretizations of optimal control problems

Proceedings: 16th IMACS World Congress. New Brunswick, NJ: IMACS.

By: J. Betts, N. Biehn, S. Campbell  & W. Huffman

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

2000 book

Matrix analysis and applied linear algebra

Philadelphia: Society for Industrial and Applied Mathematics.

By: C. Meyer

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

2000 journal article

Compensating for order variation in mesh refinement for direct transcription methods

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 125(1-2), 147–158.

By: J. Betts*, N. Biehn n, S. Campbell n  & W. Huffman*

author keywords: implicit Runge-Kutta; optimization; differential algebraic equation
TL;DR: This paper discusses how this numerical theory for Implicit Runge–Kutta methods can be utilized in direct transcription trajectory optimization by modifying a currently used mesh refinement strategy. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2000 journal article

Analysis and comparison of four anhysteretic polarization models for lead magnesium niobate

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 108(4), 1651–1662.

By: J. Piquette* & R. Smith n 

MeSH headings : Acoustics; Humans; Models, Theoretical; Niobium; Oxides; Transducers
TL;DR: Four anhysteretic polarization models that have been used in the literature to evaluate data acquired from lead magnesium niobate are analyzed and compared and it is shown that it can be necessary to consider a sample to be an admixture of two distinct species of poles, in the sense that two polarization functions must be added together in order to accommodate the data. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (Web of Science; OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2000 journal article

Algebra structures on Hom (C, L)

COMMUNICATIONS IN ALGEBRA, 28(11), 5481–5501.

By: G. Barnich, R. Fulp*, T. Lada* & J. Stasheff

UN Sustainable Development Goal Categories
4. Quality Education (Web of Science)
5. Gender Equality (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2000 journal article

q-wedge modules for quantized enveloping algebras of classical type

JOURNAL OF ALGEBRA, 230(2), 518–539.

By: N. Jing n , K. Misra n & M. Okado*

Contributors: N. Jing n , K. Misra n & M. Okado*

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

2000 journal article

The temperature-jump problem in rarefied-gas dynamics

EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 11, 353–364.

By: L. Barichello * & C. Siewert n

TL;DR: An analytical version of the discrete-ordinates method is used here to solve the classical temperature-jump problem based on the BGK model in rarefied-gas dynamics. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2000 journal article

On state constraint representations and mesh-dependent gradient projection convergence rates for optimal control problems

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 39(4), 1082–1111.

By: J. Dunn*

author keywords: optimal control; pointwise state/control constraints; regulator problems; nonlinear programs; constrain representations; discrete-time approximations; gradient projection methods; mesh-dependent convergence rates
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Gaussian filters for nonlinear filtering problems

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 45(5), 910–927.

By: K. Ito n & K. Xiong n

TL;DR: The systematic formulation of Gaussian filters is presented and efficient and accurate numerical integration of the optimal filter is developed, and the new Gaussian sum filter has a nearly optimal performance. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Effect of Ar+ ion beam in the process of plasma surface modification of PET films

JOURNAL OF APPLIED POLYMER SCIENCE, 77(8), 1679–1683.

By: J. Hyun n, P. Barletta n, K. Koh n, S. Yoo n, J. Oh n, D. Aspnes n , J. Cuomo n

author keywords: polymer; plasma; ion beam; crosslinking; hydrophilic
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Approximation methods for inverse problems governed by nonlinear parabolic systems

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 21(7-8), 791–816.

By: H. Banks*, C. Musante & J. Raye*

author keywords: inverse problems; nonlinear parabolic systems; approximation techniques; least squares optimization; computational methods
TL;DR: A rigorous theoretical framework for approximation of nonlinear parabolic systems with delays in the context of inverse least squares problems is presented and sample numerical results demonstrating the convergence are given. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2000 journal article

An approximation theory or strongly stabilizing solutions to the operator LQ Riccati equation

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 38(6), 1909–1937.

By: J. Oostveen, R. Curtain & K. Ito*

author keywords: linear quadratic control problem; algebraic Riccati equation on Hilbert space; dissipative systems; collocated actuators and sensors
Source: Web Of Science
Added: August 6, 2018

2000 journal article

A model of gonadotropin regulation during the menstrual cycle in women: Qualitative features

ENVIRONMENTAL HEALTH PERSPECTIVES, 108, 873–881.

By: P. Schlosser* & J. Selgrade*

author keywords: estradiol; follicle-stimulating hormone; luteinizing hormone; mathematical model; menstrual cycle; progesterone
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Existence of undercompressive traveling waves in thin film equations

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 32(1), 194–213.

By: A. Bertozzi & M. Shearer* 

author keywords: undercompressive shocks; traveling waves; heteroclinic orbit; existence
TL;DR: Undercompressive traveling wave solutions of the partial differential equation ∂th + ∂xf (h )= −∂x(h 3 ∂ 3h )+ D ∂x (h 3xh), when the flux function f has the nonconvex form f (h)= h2 − h3 are considered. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2000 journal article

Detection signal design for failure detection: a robust approach

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 14(7), 701–724.

By: R. Nikoukhah*, S. Campbell n  & F. Delebecque*

author keywords: failure detection; diagnosis; auxiliary signal
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2000 journal article

Computing orbits of minimal parabolic k-subgroups acting on symmetric k-varieties

JOURNAL OF SYMBOLIC COMPUTATION, 30(5), 521–553.

By: A. Helminck n

TL;DR: This paper presents an algorithm to compute the orbits of a minimal parabolic k -subgroup acting on a symmetric k -variety and most of the combinatorial structure of the orbit decomposition and shows how the algorithm in Helminck (1996) can be adjusted and extended to compute these twisted involutions. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2000 journal article

A domain wall model for hysteresis in piezoelectric materials

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 11(1), 62–79.

By: R. Smith*  & Z. Ounaies

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

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