Mathematics

Works Published in 2007

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Displaying works 141 - 160 of 180 in total

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

2007 journal article

Variability of East African rainfall based on multiyear RegCM3 simulations

INTERNATIONAL JOURNAL OF CLIMATOLOGY, 27(3), 357–371.

By: R. Anyah* & F. Semazzi n

UN Sustainable Development Goal Categories
13. Climate Action (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2007 journal article

The additional dynamics of least squares completions for linear differential algebraic equations

LINEAR ALGEBRA AND ITS APPLICATIONS, 425(2-3), 471–485.

By: I. Okay n, S. Campbell n  & P. Kunkel*

author keywords: differential algebraic equations; DAEs; extra dynamics
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2007 journal article

On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices

JOURNAL OF MULTIVARIATE ANALYSIS, 98(4), 678–694.

By: R. Dozier n & J. Silverstein n 

author keywords: random matrix; empirical distribution function of eigenvalues; Stieltjes transform
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2007 journal article

High-order numerical solution of the nonlinear Helmholtz equation with axial symmetry

Journal of Computational and Applied Mathematics, 204(2), 477–492.

By: G. Baruch*, G. Fibich* & S. Tsynkov n 

author keywords: Kerr media; diffraction; nonparaxiality; nonlinear self-focusing; backscattering; critical and subcritical nonlinearity; fourth-order approximation; iterative solution; separation of variables; nonlocal artificial boundary conditions (ABCs); Sominerfeld radiation boundary conditions; Green's function; convolution; cylindrical symmetry
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2007 journal article

Computing the integer partition function

MATHEMATICS OF COMPUTATION, 76(259), 1619–1638.

By: N. Calkin *, J. Davis n, K. James*, E. Perez * & C. Swannack*

author keywords: partition function; discrete fast Fourier transforms
TL;DR: Efficient algorithms for computing the values of the partition function are discussed and implemented and these algorithms are implemented in order to conduct a numerical study of some conjec- tures related to the partitions function. (via Semantic Scholar)
UN Sustainable Development Goal Categories
4. Quality Education (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2007 journal article

An elementary proof of Sylvester's double sums for subresultants

JOURNAL OF SYMBOLIC COMPUTATION, 42(3), 290–297.

By: C. D'Andrea *, H. Hong n , T. Krick* & A. Szanto n 

author keywords: subresultants; double-sum formula; Vandermonde determinant
TL;DR: An elementary proof that uses only basic properties of matrix multiplication and Vandermonde determinants to express the polynomial subresultants in terms of the roots of the input polynomials is provided. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2007 journal article

An augmented approach for Stokes equations with a discontinuous viscosity and singular forces

COMPUTERS & FLUIDS, 36(3), 622–635.

By: Z. Li n , K. Ito n & M. Lai*

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

2007 journal article

A stress-dependent hysteresis model for ferroelectric materials

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 18(1), 69–88.

By: B. Ball n, R. Smith n , S. Kim* & S. Seelecke n

author keywords: PZT; PLZT; ferroelastic; THUNDER; hysteresis; ferroelectric; Helmholtz
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2007 journal article

Using mathematical modeling and control to develop structured treatment interruption strategies for HIV infection

DRUG AND ALCOHOL DEPENDENCE, 88, S41–S51.

By: E. Rosenberg n, M. Davidian n  & H. Banks n

author keywords: STI; CD4; HIV dynamics; drug resistance; viral load
MeSH headings : CD4 Antigens / immunology; HIV Infections / drug therapy; HIV Infections / immunology; Humans; Models, Theoretical
TL;DR: It is argued that the most promising STI strategies are adaptive treatment strategies, which involve cycles of treatment withdrawal and re-initiation and that, when such mathematical representations of processes underlying a disease or disorder are available, they can be an important tool for suggesting adaptive treatment Strategies for clinical study. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space

Mathematical Biosciences and Engineering, 4(3), 403–430.

By: H. Banks n, S. Dediu n & H. Nguyen n

MeSH headings : Algorithms; Computer Simulation; Models, Biological; Sensitivity and Specificity
TL;DR: A theory for sensitivity with respect to parameters in a convex subset of a topological vector space of dynamical systems in a Banach space is developed and schemes that approximate the measures in the Prohorov sense are illustrated. (via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018

2007 journal article

Optimal bilinear control of an abstract Schrodinger equation

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 46(1), 274–287.

By: K. Ito* & K. Kunisch

author keywords: Schrodinger equation; C(0)-groups; optimal control; optimality systems; monotone scheme
TL;DR: Convergence of the monotone scheme for the solution of the optimality system is proved and the existence of optimal control of such systems is proved. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Monotone approximation for a nonlinear size and class age structured epidemic model

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 8(3), 834–852.

By: H. Banks n, V. Bokil n & S. Hu n

author keywords: size and class age structured models; well-posedness; monotone approximations; comparison principle
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Inverse source problem and active shielding for composite domains

Applied Mathematics Letters, 20(5), 511–515.

By: V. Ryaben’kii*, S. Tsynkov n  & S. Utyuzhnikov *

author keywords: multiply connected domain; inverse source; active shielding; control of sound; Calderon's projection; difference potentials method
TL;DR: In the paper, general solution for a discretized composite AS problem is obtained and it is shown that it reduces to solving a collection of auxiliary problems for simply connected domains. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2007 journal article

Direct transcription solution of high index optimal control problems and regular Euler-Lagrange equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 202(2), 186–202.

By: S. Campbell n  & R. Maerz

author keywords: direct transcription; optimal control; control selection; numerical algorithms; differential algebraic equations
TL;DR: This paper develops some theoretical results that will be needed for the development of guidelines to assist users of various numerical optimal control packages. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2007 journal article

Convergence of the primal-dual active set strategy for diagonally dominant systems

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 46(1), 14–34.

By: K. Ito* & K. Kunisch

author keywords: primal-dual active set strategy; diagonally dominant systems; bilateral constraints; globalization
TL;DR: Sufficient conditions for global convergence of the primal-dual active set strategy for finite and infinite dimensional quadratic, as well as nonlinear optimization, problems with affine equality and inequality constraints are presented. (via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Application of a three-dimensional poroelastic BEM to modeling the biphasic mechanics of cell-matrix interactions in articular cartilage

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 196(31-32), 2999–3010.

By: M. Haider n  & F. Guilak *

author keywords: boundary element method; biphasic theory; poroelasticity; articular cartilage; cells
TL;DR: A three dimensional direct poroelastic BEM, formulated in the Laplace transform domain, is applied to modeling stress relaxation in cartilage, simulated and validated against a theoretical solution. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2007 journal article

Unitary positive-energy representations of scalar bilocal quantum fields

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 271(1), 223–246.

By: B. Bakalov n, N. Nikolov *, K. Rehren* & I. Todorov*

Source: Web Of Science
Added: August 6, 2018

2007 article

Rational invariants of a group action. Construction and rewriting

JOURNAL OF SYMBOLIC COMPUTATION, Vol. 42, pp. 203–217.

By: E. Hubert* & I. Kogan n 

Contributors: E. Hubert* & I. Kogan n 

author keywords: rational invariants; algebraic group actions; cross-section; Grobner basis; differential invariants; moving frame
TL;DR: A new algorithm for computing rational invariants that allows any rational invariant to be expressed in terms of the generators of a finite generating set of invariants as the coefficients of a reduced Grobner basis. (via Semantic Scholar)
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Sources: Web Of Science, NC State University Libraries, ORCID
Added: August 6, 2018

2007 journal article

Rarely seen coleold phragmacone steinkerns from the Eocene Castle Hayne limestone of southeastern North Carolina

Palaeontographica. Abteilung A, Palaozoologie-Stratigraphie, 279(4-6), 159-.

By: P. Weaver, C. Ciampaglio & R. Chandler*

UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (OpenAlex)
13. Climate Action (Web of Science)
14. Life Below Water (Web of Science)
Source: NC State University Libraries
Added: August 6, 2018

2007 journal article

On Roth's pseudo equivalence over rings

Electronic Journal of Linear Algebra, 16, 111–124.

By: R. Hartwig* & P. Patricio

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

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