Works Published in 2002
Displaying works 121 - 140 of 144 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2002 journal article
Efficient matrix preconditioners for black box linear algebra
LINEAR ALGEBRA AND ITS APPLICATIONS, 343, 119–146.
author keywords: black box matrix; sparse matrix; structured matrix; Toeplitz-like matrix; matrix preconditioner; exact arithmetic; finite field; symbolic computation; linear system solution; minimal polynomial; characteristic polynomial; rank; determinant; Wiedemann algorithm; randomized algorithm; butterfly network
TL;DR:
Improvements are offered for the efficiency and applicability of preconditioners on linear algebra problems over finite fields, but most results are valid for entries from arbitrary fields.
(via Semantic Scholar)
doi.org (publisher)
Source: Web Of Science
Added: August 6, 2018
2002 journal article
Asymptotic properties of receding horizon optimal control problems
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 40(5), 1585–1610.
author keywords: receding horizon control; model prediction control; control Liapunov function; stabilizability; Liapunov equation
TL;DR:
The asymptotic behavior of receding horizon optimal control problems with terminal cost chosen as a control Liapunov function is analyzed for regulator as well as disturbance attenuation problems.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2002 journal article
A nonlinear beam equation
APPLIED MATHEMATICS LETTERS, 15(3), 381–387.
author keywords: well posedness; locally Lipschitz nonlinear elastic systems
TL;DR:
Existence and uniqueness of weak solutions to a nonlinear beam equation is established under relaxed assumptions (locally Lipschitz plus affine domination) on the nonlinearity in the stiffness constitutive law.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2002 journal article
A finite difference approximation for a coupled system of nonlinear size-structured populations
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 50(6), 727–748.
author keywords: coupled system of size-structured populations; existence-uniqueness; finite difference approximation; competition; extinction; survival
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2002 journal article
Physiologically based pharmacokinetic models for the transport of trichloroethylene in adipose tissue
BULLETIN OF MATHEMATICAL BIOLOGY, 64(1), 97–131.
MeSH headings : Adipose Tissue / metabolism; Animals; Computer Simulation; Humans; Models, Biological; Rats; Rats, Sprague-Dawley; Trichloroethylene / pharmacokinetics
TL;DR:
Three physiologically based pharmacokinetic (PBPK) models for the systemic transport of trichloroethylene (TCE), with a focus on the adipose, or fat tissue, are presented.
(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
2002 book
Evolution equations and approximations
TL;DR:
Dissipative and maximal monotone operators linear semigroups analyticSemigroups approximation of C-0 semig groups nonlinear semiggroups of contractions locally quasi-dissipatives evolution equations the Crandall-Pazy class variational formulations and Gelfand triples applications to concrete systems approximation of solutions for evolution equations semilinear evolution equations.
(via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018
2002 journal article
Root multiplicities of the indefinite Kac-Moody Lie algebras HD4(3) and HG(2)((1))
COMMUNICATIONS IN ALGEBRA, 30(6), 2941–2959.
Source: Web Of Science
Added: August 6, 2018
2002 journal article
Receding horizon optimal control for infinite dimensional systems
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 8, 741–760.
author keywords: receding horizon control; control Lyapunov function; Lyapunov equations; closed loop dissipative; minimum value function; Navier-Stokes equations
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2002 journal article
Optimal control formulation for determining optical flow
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 24(3), 818–847.
author keywords: optical flow; optimal control; system of hyperbolic and elliptic partial differential equations; TVD scheme; multigrid method
TL;DR:
An optimal control formulation for determining optical flow does not require differentiation of the data and does combine optical flow with image reconstruction and a numerical algorithm that solves the optimality system consisting of hyperbolic and elliptic partial differential equations is presented.
(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
2002 journal article
On computing the Chapman-Enskog functions for viscosity and heat transfer and the Burnett functions
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 74(6), 789–796.
author keywords: Boltzmann equation; rarefied-gas dynamics; Chapman-Enskog; Burnett
Source: Web Of Science
Added: August 6, 2018
2002 article
New multivalue methods for differential algebraic equations
Kerr, M., & Burrage, K. (2002, December). NUMERICAL ALGORITHMS, Vol. 31, pp. 193–213.
author keywords: multivalue methods; differential algebraic systems of index 1, 2 or 3; A-stable; stiff accuracy; diagonal implicitness
TL;DR:
Three new multivalue methods for solving DAEs of index 1, 2 or 3 are constructed, which include multistep methods and multistage methods as special cases and the concept of stiff accuracy will be introduced and convergence results will be given based on the stage order of the methods.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2002 article
Linear differential operators for polynomial equations
Cormier, O., Singer, M. F., Trager, B. M., & Ulmer, F. (2002, November). JOURNAL OF SYMBOLIC COMPUTATION, Vol. 34, pp. 355–398.
TL;DR:
A linear differential operator is constructed that allows one to calculate the genus of the complex curve defined by P= 0, the absolute factorization of P over the algebraic closure of k0, and information concerning the Galois group ofP over ___ k0(x) as well as overk0 (x).
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
9. Industry, Innovation and Infrastructure
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2002 journal article
Analysis of thermal conductivity in composite adhesives
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 23(7-8), 705–745.
author keywords: thermal conductivity; composite adhesives; well-posedness; inverse problems; sensitivity equations
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2002 journal article
Analysis of bonded elastic blocks
MATHEMATICAL AND COMPUTER MODELLING, 36(7-8), 875–888.
author keywords: elasticity; compression; incompressibility; near incompressibility; partial differential equations; finite element simulations
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2002 article
Spherical distribution vectors
Helminck, A. G., & Helminck, G. F. (2002, August). ACTA APPLICANDAE MATHEMATICAE, Vol. 73, pp. 39–57.
author keywords: Hilbert subspace; distribution vector; spherical distribution; Plancherel formula
Source: Web Of Science
Added: August 6, 2018
2002 journal article
Sparse resultant of composed polynomials I* mixed-unmixed case
JOURNAL OF SYMBOLIC COMPUTATION, 33(4), 447–465.
TL;DR:
The main contribution of this paper is to provide an answer for the case when g1,…,gn are unmixed and the above expression can be applied to compute sparse resultants of composed polynomials with improved efficience.
(via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2002 journal article
Shellability in reductive monoids
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 354(1), 413–426.
Source: Web Of Science
Added: August 6, 2018
2002 journal article
Reactive autophobic spreading of drops
JOURNAL OF COMPUTATIONAL PHYSICS, 183(2), 335–366.
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2002 journal article
On an example of Simon
TOPOLOGY AND ITS APPLICATIONS, 119(2), 233–239.
author keywords: compactifications; sequential compactness; remainders; totally divergent sequences
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2002 journal article
Multiphase mechanics of capsule formation in tumors
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 124(2), 237–243.
Contributors: S. Lubkin n & T. Jackson *
MeSH headings : Cell Count; Cell Size; Computer Simulation; Disease Progression; Elasticity; Extracellular Matrix; Fibrosis; Intercellular Junctions; Models, Biological; Neoplasms / pathology; Neoplasms / physiopathology; Osmotic Pressure; Rheology; Sensitivity and Specificity; Stress, Mechanical; Viscosity; Water / physiology
TL;DR:
It is shown that the presence of contractility in the surrounding tissue, corresponding to a host defense, can make an existing capsule denser and constrain the tumor better, but cannot be responsible for the observed pressure gradients in encapsulated tumors.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
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