Mathematics

College of Sciences

Works Published in 2007

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Displaying works 141 - 160 of 177 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

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

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
Sources: Web Of Science, 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, K. James*, E. Perez* & C. Swannack*

author keywords: partition function; discrete fast Fourier transforms
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, T. Krick* & A. Szanto

author keywords: subresultants; double-sum formula; Vandermonde determinant
Sources: Web Of Science, ORCID
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, K. Ito & M. Lai*

Sources: Web Of Science, ORCID
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.

author keywords: PZT; PLZT; ferroelastic; THUNDER; hysteresis; ferroelectric; Helmholtz
Sources: Web Of Science, ORCID
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.

author keywords: STI; CD4; HIV dynamics; drug resistance; viral load
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.

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
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.

author keywords: size and class age structured models; well-posedness; monotone approximations; comparison principle
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 & S. Utyuzhnikov*

author keywords: multiply connected domain; inverse source; active shielding; control of sound; Calderon's projection; difference potentials method
Sources: Web Of Science, 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 & R. Maerz

author keywords: direct transcription; optimal control; control selection; numerical algorithms; differential algebraic equations
Sources: Web Of Science, ORCID
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
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 & F. Guilak*

author keywords: boundary element method; biphasic theory; poroelasticity; articular cartilage; cells
Sources: Web Of Science, ORCID
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. 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

author keywords: rational invariants; algebraic group actions; cross-section; Grobner basis; differential invariants; moving frame
Sources: Web Of Science, 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

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.

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

2007 journal article

Mechanism of electric fatigue crack growth in lead zirconate titanate

ACTA MATERIALIA, 55(1), 301–312.

By: I. Westrain, W. Oates, D. Lupascu*, J. Roedel & C. Lynch*

author keywords: ferroelectricity; fracture; finite element analysis; electroceramics
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Introducing desirable transgenes into insect populations using Y-linked meiotic drive - A theoretical assessment

EVOLUTION, 61(4), 717–726.

author keywords: autosomal modifier; sex-ratio distortion; transgene; X-chromosome responder; Y-chromosome driver
Sources: Web Of Science, ORCID
Added: August 6, 2018

2007 journal article

BRST extension of geometric quantization

FOUNDATIONS OF PHYSICS, 37(1), 103–124.

By: R. Fulp

author keywords: geometric quantization; BRST quantization
Source: Web Of Science
Added: August 6, 2018