Mathematics

Works Published in 2010

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Displaying works 41 - 60 of 147 in total

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

2010 journal article

Functions with prescribed best linear approximations

Journal of Approximation Theory, 162(5), 1095–1116.

By: P. Combettes*  & N. Reyes*

TL;DR: This paper provides various characterizations of the Inverse Best Approximation Property (IBAP) in terms of the geometry of the subspaces and links between the IBAP and the linear convergence rate of the periodic projection algorithm for solving the underlying affine feasibility problem are established. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 28, 2019

2010 journal article

Dualization of Signal Recovery Problems

Set-Valued and Variational Analysis, 18(3-4), 373–404.

By: P. Combettes* , Đ. Dũng * & B. Vũ*

author keywords: Convex optimization; Denoising; Dictionary; Dykstra-like algorithm; Duality; Forward-backward splitting; Image reconstruction; Image restoration; Inverse problem; Signal recovery; Primal-dual algorithm; Proximity operator; Total variation
TL;DR: This framework is shown to capture and extend several existing duality-based signal recovery methods and to be applicable to a variety of new problems beyond their scope. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 28, 2019

2010 journal article

Proximal Algorithms for Multicomponent Image Recovery Problems

Journal of Mathematical Imaging and Vision, 41(1-2), 3–22.

By: L. Briceño-Arias *, P. Combettes* , J. Pesquet* & N. Pustelnik *

author keywords: Convex minimization; Image recovery; Inverse problems; Multicomponent images; Multichannel images; Multispectral images; Proximal algorithm; Sparsity; Stereoscopy; Wavelets
TL;DR: This paper first provides closed form expressions for several important multicomponent proximity operators and then derive extensions of existing proximal algorithms to the multicomponents setting that are applied to stereoscopic image recovery, multispectral image denoising, and image decomposition into texture and geometry components. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 28, 2019

2010 journal article

Acyclic, or totally tight, two-person game forms: Characterization and main properties

Discrete Mathematics, 310(6-7), 1135–1151.

By: E. Boros*, V. Gurvich*, K. Makino* & D. Papp *

author keywords: Game; Game form; Effectivity function; Improvement cycle; Acyclic; Assignable; Tight; Totally tight; Nash-solvable; Dominance-solvable
TL;DR: This work characterize totally tight game forms, and derive from this characterization that they are tight, Nash-solvable, dominance- solvable, acyclic, and assignable. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 28, 2019

2010 journal article

Sonar Measurements in Ship Wakes Simultaneous With TerraSAR-X Overpasses

IEEE Transactions on Geoscience and Remote Sensing, 48(2), 841–851.

By: A. Soloviev *, M. Gilman*, K. Young*, S. Brusch* & S. Lehner *

author keywords: Geophysical measurements; remote sensing; sonar imaging; synthetic aperture radar (SAR)
TL;DR: A preliminary analysis of the measurements suggests that the visibility of the centerline ship wake in synthetic aperture radar (SAR) images is correlated with the presence of microbubbles in the wake, which supports the hypothesis that natural surfactants scavenged and brought to the surface by rising bubbles play an important role in thewake visibility in SAR. (via Semantic Scholar)
UN Sustainable Development Goal Categories
14. Life Below Water (OpenAlex)
Source: Crossref
Added: July 28, 2019

2010 journal article

On surface radiation conditions for an ellipse

Journal of Computational and Applied Mathematics, 234(6), 1647–1655.

By: M. Medvinsky*  & E. Turkel *

author keywords: Helmholtz equation; OSRC; Mathieu functions
TL;DR: This work compares several On Surface Radiation Boundary Conditions in two dimensions, for solving the Helmholtz equation exterior to an ellipse, and introduces a new boundary condition for anEllipse based on a modal expansion in Mathieu functions. (via Semantic Scholar)
Source: Crossref
Added: July 28, 2019

2010 journal article

An algorithmic Littlewood-Richardson rule

Journal of Algebraic Combinatorics, 31(2), 253–266.

By: R. Liu*

author keywords: Littlewood-Richardson rule; Specht modules; Grassmannian
Source: Crossref
Added: July 28, 2019

2010 journal article

Teaching Introductory Differential Equations with ScicosLab

CODEE Journal, 7(1), 1–12.

By: S. Campbell n  & R. Nikoukhah*

TL;DR: How ScicosLab can be easily used to help teach differential equations and to also introduce students to a software package that they can take with them for the rest of their careers is explained. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 27, 2019

2010 journal article

Local Hadamard well-posedness for nonlinear wave equations with supercritical sources and damping

Journal of Differential Equations, 249(3), 654–683.

By: L. Bociu*  & I. Lasiecka *

author keywords: Wave equation; Local existence; Nonlinear damping; Boundary source; Interior source; Critical exponents
Sources: Crossref, ORCID
Added: July 20, 2019

2010 chapter

The Eigenproblem and Invariant Subspaces: Perturbation Theory

In G.W. Stewart (pp. 71–93).

By: I. Ipsen n 

Sources: Crossref, ORCID
Added: July 20, 2019

2010 journal article

The random walk of Azospirillum brasilense

Journal of Biological Dynamics, 4(1), 71–85.

By: K. Flores* & K. Hadeler*

MeSH headings : Azospirillum brasilense / physiology; Models, Biological; Movement
TL;DR: A model is presented in which a correlated random walk on a line is joined to diffusion on a sphere of directions, ranging from a hyperbolic system with four dependent variables to a scalar damped wave equation and then to a single diffusion equation for particle density. (via Semantic Scholar)
Source: Crossref
Added: July 20, 2019

2010 journal article

Irreducibility of a Symmetry Group Implies Isotropy

Journal of Elasticity, 102(2), 151–174.

By: A. Alexanderian*, M. Rathinam* & R. Rostamian*

author keywords: Linear elasticity; Isotropy; Symmetry groups; Group representation; Schur's Lemma; Random media
Source: Crossref
Added: July 20, 2019

2010 thesis

Specht modules and Schubert varieties for general diagrams

(PhD Thesis). http://hdl.handle.net/1721.1/60196.

By: R. Liu

hdl.handle.net
Source: NC State University Libraries
Added: July 10, 2019

2010 journal article

The Baillon-Haddad theorem revisited

Journal of Convex Analysis, 17(4), 781–787.

By: H. Bauschke & P. Combettes 

Source: NC State University Libraries
Added: July 10, 2019

2010 journal article

Normal binary graph models.

Annals of the Institute of Statistical Mathematics, Special Issue: Algebraic Methods in Computational Statistics, 64(4), 717–726.

By: S. Sullivant

Source: NC State University Libraries
Added: July 10, 2019

2010 chapter

Maximum likelihood estimation in latent class models for contingency table data

In P. Gibilisco, E. Riccomagno, M. P. Rogantin, & H. P. Wynn (Eds.), Algebraic and Geometric Methods in Statistics (pp. 27–62).

By: S. Fienberg, P. Hersh*, A. Rinaldo & Y. Zhou *

Ed(s): P. Gibilisco, E. Riccomagno, M. Rogantin & H. Wynn

Source: Crossref
Added: June 30, 2019

2010 journal article

Radial Spreading of a Surfactant on a Thin Liquid Film

Applied Mathematics Research EXpress, 9.

By: E. Peterson* & M. Shearer* 

UN Sustainable Development Goal Categories
Sources: Crossref, ORCID
Added: June 30, 2019

2010 journal article

Evolution of a Mixing Zone in Granular Avalanches

Applied Mathematics Research EXpress, 7.

By: M. McIntyre*, E. Rowe n, M. Shearer n , J. Gray * & A. Thornton *

UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Sources: Crossref, ORCID
Added: June 30, 2019

2010 conference paper

The Gray-Thornton Model of Granular Segregation

Presented at the IUTAM-ISIMM SYMPOSIUM ON MATHEMATICAL MODELING AND PHYSICAL INSTANCES OF GRANULAR FLOWS.

By: M. Shearer* , L. May, N. Giffen, K. Daniels, J. Goddard, P. Giovine, J. Jenkins

Event: IUTAM-ISIMM SYMPOSIUM ON MATHEMATICAL MODELING AND PHYSICAL INSTANCES OF GRANULAR FLOWS

author keywords: Segregation; granular materials; shock waves; hyperbolic conservation laws
UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Sources: Crossref, ORCID
Added: June 30, 2019

2010 journal article

Hypographs satisfying an external sphere condition and the regularity of the minimum time function

Journal of Mathematical Analysis and Applications, 372(2), 611–628.

By: K. Nguyen *

Contributors: K. Nguyen *

author keywords: Normal vectors; phi-convex (prox-regular, positive reach) sets; Internal/external sphere condition
Sources: Crossref, ORCID
Added: June 30, 2019

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