Mathematics

Works Published in 2011

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Displaying works 121 - 140 of 159 in total

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

2011 journal article

Finite-size effects in nanocomposite thin films and fibers

PHYSICAL REVIEW E, 84(2).

By: D. Stevens n, E. Skau n, L. Downen n, M. Roman n & L. Clarke n 

MeSH headings : Monte Carlo Method; Nanocomposites / chemistry; Probability
TL;DR: Findings indicate that sample shape, as well as relative size, influences percolation in the finite-size regime, as the sample became quasi-one-dimensional. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2011 article

Eigen-Inference for Energy Estimation of Multiple Sources

Couillet, R., Silverstein, J. W., Bai, Z., & Debbah, M. (2011, April). IEEE TRANSACTIONS ON INFORMATION THEORY, Vol. 57, pp. 2420–2439.

By: R. Couillet*, J. Silverstein n , Z. Bai * & M. Debbah *

author keywords: Cognitive radio; G-estimation; power estimation; random matrix theory; statistical inference
TL;DR: In this paper, a new method is introduced to blindly estimate the transmit power of multiple signal sources in multiantenna fading channels, when the number of sensing devices and thenumber of available samples are sufficiently large compared to theNumber of sources. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2011 journal article

A REGULARIZATION PARAMETER FOR NONSMOOTH TIKHONOV REGULARIZATION

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 33(3), 1415–1438.

By: K. Ito*, B. Jin & T. Takeuchi

author keywords: regularization parameter; nonsmooth functional; value function; error estimate
TL;DR: Numerical results indicate the novel rule for choosing regularization parameters in nonsmooth Tikhonov functionals can yield results comparable with those achieved with the discrepancy principle and the optimal choice, and the algorithm merits a fast and steady convergence. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2011 journal article

A Deterministic Equivalent for the Analysis of Correlated MIMO Multiple Access Channels

IEEE Transactions on Information Theory, 57(6), 3493–3514.

By: R. Couillet*, M. Debbah * & J. Silverstein n 

author keywords: Deterministic equivalent; ergodic capacity; MAC; MIMO; optimal precoder; random matrix theory
TL;DR: Novel deterministic equivalents for the Stieltjes transform and the Shannon transform of a class of large dimensional random matrices are provided for the ergodic rate region of multiple antenna multiple access channels, when each point-to-point propagation channel is modelled according to the Kronecker model. (via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation (OpenAlex)
Sources: Web Of Science, NC State University Libraries, Crossref
Added: August 6, 2018

2011 review

A Brief Review of Elasticity and Viscoelasticity for Solids

[Review of ]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 3(1), 1–51.

By: H. Banks n, S. Hu n & Z. Kenz n

author keywords: Mathematical modeling; Eulerian and Lagrangian formulations in continuum mechanics; elasticity; viscoelasticity; computational simulations in soil; constitutive relationships
TL;DR: An overview of the subject for both elastic and viscoelastic materials is provided, including uses in civil engineering, the food industry, land mine detection and ultrasonic imaging, and some applications for these constitutive equations. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2011 journal article

Solution formulas for cubic equations without or with constraints

JOURNAL OF SYMBOLIC COMPUTATION, 46(8), 904–918.

By: T. Zhao *, D. Wang* & H. Hong n 

author keywords: Cubic polynomial; Solution formula; Root convention; Constraint
TL;DR: A convention is presented (for square/cubic root) which provides correct interpretations of the Lagrange formula for all cubic polynomial equations with real coefficients under equality and inequality constraints. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2011 journal article

MINIMAL INVASION: AN OPTIMAL L-infinity STATE CONSTRAINT PROBLEM

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 45(3), 505–522.

By: C. Clason*, K. Ito n & K. Kunisch *

author keywords: Optimal control; optimal L-infinity state constraint; semi-smooth Newton method
Source: Web Of Science
Added: August 6, 2018

2011 journal article

Linear and Nonlinear Viscoelastic Modeling of Aorta and Carotid Pressure-Area Dynamics Under In Vivo and Ex Vivo Conditions

ANNALS OF BIOMEDICAL ENGINEERING, 39(5), 1438–1456.

By: D. Valdez-Jasso n, D. Bia *, Y. Zocalo, R. Armentano *, M. Haider n  & M. Olufsen n

author keywords: Viscoelasticity; Nonlinear elasticity; Arterial wall properties; Thoracic descending aorta; Carotid artery; Mathematical modeling
MeSH headings : Animals; Aorta; Aorta, Thoracic / physiology; Blood Pressure / physiology; Carotid Arteries / physiology; Elasticity; Female; Humans; Male; Models, Cardiovascular; Sheep
TL;DR: This study demonstrates that the proposed models can predict pressure–area dynamics and that model parameters can be extracted for further interpretation of biomechanical properties and indicates that optimal model selection depends on the artery type. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2011 journal article

Framework for climate services in developing countries

CLIMATE RESEARCH, 47(1-2), 145–150.

By: F. Semazzi n

author keywords: Climate services; CLIVAR; CLIPS; CRMS; GFCS
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2011 journal article

FINDING A STABLE SOLUTION OF A SYSTEM OF NONLINEAR EQUATIONS ARISING FROM DYNAMIC SYSTEMS

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 7(2), 497–521.

By: C. Kelley n , L. Qi *, X. Tong * & H. Yin *

author keywords: System of nonlinear equations; stable solutions; saddle-node bifurcation; Hopf bifurcation; stability functions; smoothing Newton method
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2011 journal article

Comparison of optimal design methods in inverse problems

Inverse Problems, 27(7), 075002.

By: H. Banks n, K. Holm n & F. Kappel n

TL;DR: A new Prohorov metric-based theoretical framework is presented that permits one to treat succinctly and rigorously any optimal design criteria based on the Fisher information matrix and a new optimal design, SE-optimal design, is introduced in the context of general optimization problems over distributions of sampling times. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Crossref, NC State University Libraries
Added: August 6, 2018

2011 journal article

Binding in Charged Spherically Symmetric Objects

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 50(9), 2737–2747.

By: M. Corne n, A. Kheyfets n, J. Piasio n & C. Voegele*

author keywords: General relativity; Lorentz model of electron; Gravitational binding energy; Total mass; Oppenheimer-Volkov equation
Source: Web Of Science
Added: August 6, 2018

2011 journal article

A simple model for laser drilling

MATHEMATICS AND COMPUTERS IN SIMULATION, 81(8), 1541–1552.

By: J. Collins n & P. Gremaud n

author keywords: Laser drilling; Phase change; Free boundary; Numerical methods
TL;DR: A simple mathematical model of laser drilling is proposed, assuming axi-symmetry of the process around the axis of the laser beam, and a one-dimensional formulation is obtained after cross-sectional averaging. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2011 journal article

A Quantized Tits-Kantor-Koecher Algebra

ALGEBRAS AND REPRESENTATION THEORY, 14(3), 589–599.

By: Y. Gao * & N. Jing n 

Contributors: Y. Gao * & N. Jing n 

author keywords: Quantum group; Jordan torus; TKK algebra; Vertex operators
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2011 journal article

The IIM in polar coordinates and its application to electro capacitance tomography problems

NUMERICAL ALGORITHMS, 57(3), 405–423.

By: J. Ruiz Alvarez*, J. Chen* & Z. Li n 

author keywords: Immersed interface method; Polar coordinates; Interface; Discontinuous coefficients; Finite difference method; Electro capacitance tomography; Forward problem
TL;DR: The algorithm and analysis here is one step forward in applying the IIM for 3D problems in axisymmetric situations or in the spherical coordinates and the application to the solution of the electric potential inside an ECT device. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2011 journal article

TWO-PARAMETER QUANTUM VERTEX REPRESENTATIONS VIA FINITE GROUPS AND THE MCKAY CORRESPONDENCE

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 363(7), 3769–3797.

By: N. Jing n  & H. Zhang *

Contributors: N. Jing n  & H. Zhang *

author keywords: Two-parameter quantum affine algebra; finite groups; wreath products; McKay correspondence
UN Sustainable Development Goal Categories
10. Reduced Inequalities (Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2011 journal article

ON DEMAZURE CRYSTALS FOR Uq(G(2)((1)))

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 139(7), 2343–2356.

By: R. Jayne n & K. Misra n

Source: Web Of Science
Added: August 6, 2018

2011 journal article

Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media using Compact High Order Schemes

Communications in Computational Physics, 9(3), 520–541.

By: S. Britt n, S. Tsynkov n  & E. Turkel *

author keywords: Helmholtz equation; variable coefficients; high order accuracy; compact finite differences
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2011 journal article

MINIMAL NON-ELEMENTARY LIE ALGEBRAS

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 139(7), 2435–2437.

By: K. Stagg n & E. Stitzinger n 

author keywords: Minimal non-elementary Lie algebras; Frattini subalgebras
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2011 journal article

High order compact finite difference schemes for the helmholtz equation with discontinuous coefficients

Journal of Computational Mathematics, 29(3), 324–340.

By: X. Feng, Z. Li  & Z. Qiao

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

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