Mathematics

Works Published in 2008

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Displaying works 101 - 120 of 138 in total

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

2008 journal article

A bound for the Rosenfeld-Grobner algorithm

JOURNAL OF SYMBOLIC COMPUTATION, 43(8), 582–610.

By: O. Golubitsky, M. Kondratieva, M. Maza & A. Ovchinnikov*

author keywords: differential algebra; characteristic sets; radical differential ideals; decomposition into regular components
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Representation of Fourier integral operators using shearlets

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 14(3), 327–371.

By: K. Guo* & D. Labate n

author keywords: curvelets; Fourier integral operators; pseudo differential operators; shearlets; sparsity; wavelets
TL;DR: The shearlets are shown to provide very efficient representations for a large class of Fourier Integral Operators, an affine-like system of well-localized waveforms at various scales, locations and orientations, which are particularly efficient in representing anisotropic functions. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2008 journal article

On the detection of small parameter variations in linear uncertain systems

EUROPEAN JOURNAL OF CONTROL, 14(2), 158–171.

By: R. Nikoukhah* & S. Campbell n

author keywords: parameter identification; incipient fault detection; auxiliary signal design; multi-model formulation
TL;DR: A constructive method for the construction of an optimal input signal for achieving guaranteed detection with specified precision is presented and the application to the problem of incipient fault detection is investigated. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, ORCID
Added: August 6, 2018

2008 journal article

Multipoint boundary value problems for nonlinear ordinary differential equations

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 68(11), 3465–3474.

By: J. Rodriguez n & P. Taylor*

author keywords: boundary value problems; Schauder Fixed Point Theorem; Lyapunov-Schmidt; projection
Source: Web Of Science
Added: August 6, 2018

2008 article

Infinite-dimensional Lie algebras in 4D conformal quantum field theory

Bakalov, B., Nikolov, N. M., Rehren, K.-H., & Todorov, I. (2008, May 16). JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Vol. 41.

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

Source: Web Of Science
Added: August 6, 2018

2008 journal article

Exchange lemmas 2: General Exchange Lemma

JOURNAL OF DIFFERENTIAL EQUATIONS, 245(2), 411–441.

By: S. Schecter n

author keywords: geometric singular perturbation theory; normally hyperbolic invariant manifold
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Exchange lemmas 1: Deng's lemma

JOURNAL OF DIFFERENTIAL EQUATIONS, 245(2), 392–410.

By: S. Schecter n

author keywords: geometric singular perturbation theory; normally hyperbolic invariant manifold
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2008 journal article

A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow

ADVANCES IN COMPUTATIONAL MATHEMATICS, 29(2), 113–133.

By: G. Chen  n, Z. Li n  & P. Lin*

author keywords: biharmonic equation; irregular domain; augmented method; immersed interface method; incompressible stokes flow
TL;DR: A fast second order accurate algorithm based on a finite difference discretization and a Cartesian grid and a new interpolation scheme to evaluate the residual of the Schur complement system is developed for two dimensional biharmonic equations on irregular domains with essential boundary conditions. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2008 review

A brief review of some approaches to hysteresis in viscoelastic polymers

[Review of ]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 69(3), 807–815.

By: H. Banks n

author keywords: stress-strain laws; hysteresis; viseoelasticity; polymers; internal variables
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Tannakian approach to linear differential algebraic groups

TRANSFORMATION GROUPS, 13(2), 413–446.

By: A. Ovchinnikov n

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

2008 journal article

Radiative transfer in a multi-layer medium subject to Fresnel boundary and interface conditions and uniform illumination by obliquely incident parallel rays

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 109(12-13), 2151–2170.

By: R. Garcia, C. Siewert n & A. Yacout*

Source: Web Of Science
Added: August 6, 2018

2008 journal article

Modeling of viscoelastic shear: A nonlinear stick-slip formulation

Dynamic Systems and Applications, 17(2), 383–405.

By: H. Banks, N. Medhin & G. Pinter

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

2008 journal article

The modeling of magnetomechanical sensors in laminated structures

Smart Materials & Structures, 17(2).

By: S. Datta, J. Atulasimha, C. Mudivarthi & A. Flatau

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

2008 journal article

Solutions of the optimized closure integral equation theory: Heteronuclear polyatomic fluids

JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 4(3), 385–396.

By: M. Marucho  n, C. Kelley n  & B. Pettitt n

TL;DR: A high-performance algorithm is introduced which is found to be faster and more efficient than the direct Picard iteration to solve the aforementioned optimized theory for molecules more complex than those considered previously. (via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation (OpenAlex)
13. Climate Action (Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2008 journal article

Root multiplicities of the indefinite Kac-Moody algebras of symplectic type

COMMUNICATIONS IN ALGEBRA, 36(2), 764–782.

By: V. Klima* & K. Misra  n

author keywords: crystal bases; Kac-Moody algebras; root multiplicities
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Particular solutions of the linearized Boltzmann equation for a binary mixture of rigid spheres

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 59(2), 281–292.

By: R. Garcia & C. Siewert n

author keywords: rarefied gas dynamics; binary mixtures; rigid spheres; particular solutions; linearized Boltzmann equation; Chapman-Enskog and Burnett functions
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Low-dimensional polytope approximation and its applications to nonnegative matrix factorization

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 30(3), 1131–1155.

By: M. Chu*  & M. Lin

author keywords: nonnegative matrix factorization; polytope approximation; probability simplex; supporting hyperplane; Hahn-Banach theorem
TL;DR: Testing results strongly evidence that this approach obtains a better low rank nonnegative matrix approximation in fewer steps than conventional methods. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2008 journal article

Genomic analysis of closely related astroviruses

JOURNAL OF VIROLOGY, 82(10), 5099–5103.

By: E. Strain*, L. Kelley *, S. Schultz-Cherry *, S. Muse* & M. Koci n 

MeSH headings : Animals; Astroviridae Infections / virology; Avastrovirus / genetics; Avastrovirus / isolation & purification; Genome, Viral; Phylogeny; Poultry Diseases / virology; RNA, Viral / genetics; Recombination, Genetic; Sequence Analysis, DNA; Sequence Homology; Turkeys; United States
TL;DR: The analysis of the capsid gene demonstrated evidence for both site-specific positive selection and purifying selection, and suggests that the TAstV species contains multiple subtypes and that recombination events have occurred across the astrovirus genome. (via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Approximate factorization of multivariate polynomials using singular value decomposition

JOURNAL OF SYMBOLIC COMPUTATION, 43(5), 359–376.

By: E. Kaltofen n, J. May*, Z. Yang* & L. Zhi *

author keywords: multivariate polynomial factorization; approximate factorization; singular value decomposition; numerical algebra; Gauss-Newton optimization
TL;DR: These algorithms are based on a generalization of the differential forms introduced by W. Ruppert and S. Gao to many variables, and use singular value decomposition or structured total least squares approximation and Gauss-Newton optimization to numerically compute the approximate multivariate factors. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Nilpotent variety of a reductive monoid

JOURNAL OF ALGEBRAIC COMBINATORICS, 27(3), 275–292.

By: M. Putcha n

author keywords: reductive monoid; nilpotent variety; unipotent variety; Renner monoid; Weyl group
Source: Web Of Science
Added: August 6, 2018

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