Mathematics

Works Published in 2012

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Displaying works 141 - 160 of 188 in total

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

2012 journal article

Clawfreeness of the powers of a graph

DISCRETE APPLIED MATHEMATICS, 160(9), 1390–1393.

By: P. Bahls* & N. Gin n

author keywords: Claw-free; Clawfreeness; Graph power
TL;DR: It is shown that the set G"n is the smallest set of graphs with this property, and if T is a tree, this gives a precise characterization of the claw-free powers of T. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2012 journal article

AN AUGMENTED IMMERSED INTERFACE METHOD FOR MOVING STRUCTURES WITH MASS

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 17(4), 1175–1184.

By: J. Ho, Z. Li*  & S. Lubkin* 

Contributors: J. Ho, Z. Li*  & S. Lubkin* 

author keywords: Immersed interface method; augmented method; projection method; Navier-Stokes; moving interface; implicit scheme; fluid-structure
TL;DR: An augmented immersed interface method for simulating the dynamics of a deformable structure with mass in an incompressible fluid and shows that the fluid-structure system has bi-stability: a stationary state for a smaller Reynolds number and an oscillatoryState for a larger Reynolds number. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID
Added: August 6, 2018

2012 journal article

ULTRA-DISCRETIZATION OF THE D(4)((3)-)GEOMETRIC CRYSTAL TO THE G(2)((1))-PERFECT CRYSTALS

PACIFIC JOURNAL OF MATHEMATICS, 255(1), 117–142.

By: M. Igarashi, K. Misra* & T. Nakashima

author keywords: geometric crystals; perfect crystals; ultra-discretization
Source: Web Of Science
Added: August 6, 2018

2012 journal article

The Sensitivity Analysis for the Flow Past Obstacles Problem with Respect to the Reynolds Number

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 4(1), 21–35.

By: K. Ito n, Z. Li n  & Z. Qiao *

author keywords: Navier-Stokes equations; sensitivity analysis; flow past cylinder; embedding technique; immersed interface method; irregular domain; augmented system; projection method; fluid-solid interaction
TL;DR: Numerical sensitivity analysis with respect to the Reynolds number can predict the critical Reynolds number at which the vortex shading begins to develop in the wake of the obstacle. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2012 article

On Classes of Local Unitary Transformations

Jing, N. (2012, June). ALGEBRA COLLOQUIUM, Vol. 19, pp. 283–292.

By: N. Jing n 

author keywords: group theory; quantum computation; induced representations
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2012 article

Demazure Crystals and Extended Young Diagrams

Beier, J. C., & Misra, K. C. (2012, June). ALGEBRA COLLOQUIUM, Vol. 19, pp. 293–304.

By: J. Beier* & K. Misra n

author keywords: quantum affine algebra; extended Young diagrams; Demazure modules
Source: Web Of Science
Added: August 6, 2018

2012 journal article

Beating dark-dark solitons in Bose-Einstein condensates

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 45(11).

By: D. Yan *, J. Chang*, C. Hamner*, M. Hoefer n, P. Kevrekidis*, P. Engels *, V. Achilleos *, D. Frantzeskakis *, J. Cuevas*

UN Sustainable Development Goal Categories
1. No Poverty (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2012 article

Algorithms for Twisted Involutions in Weyl Groups

Haas, R., & Helminck, A. G. (2012, June). ALGEBRA COLLOQUIUM, Vol. 19, pp. 263–282.

By: R. Haas * & A. Helminck n

author keywords: symmetric spaces; symbolic computation
Source: Web Of Science
Added: August 6, 2018

2012 journal article

A minimal norm corrected underdetermined Gauss-Newton procedure

Applied Numerical Mathematics, 62(5), 592–605.

By: S. Campbell n , P. Kunkel* & K. Bobinyec n

UN Sustainable Development Goal Categories
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018

2012 article

A mathematical biography of Danny C. Sorensen Preface

Benner, P., Embree, M., Lehoucq, R. B., & Kelley, C. T. (2012, April 15). LINEAR ALGEBRA AND ITS APPLICATIONS, Vol. 436, pp. 2717–2724.

By: P. Benner *, M. Embree *, R. Lehoucq* & C. Kelley n 

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

2012 journal article

A MINIMUM EFFORT OPTIMAL CONTROL PROBLEM FOR ELLIPTIC PDES

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 46(4), 911–927.

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

author keywords: Optimal control; minimum effort; L-infinity control cost; semi-smooth Newton method
Source: Web Of Science
Added: August 6, 2018

2012 journal article

Special issue on fluid motion driven by immersed structures preface

Communications in Computational Physics, 12(2), I-.

By: A. Layton, J. Stockie, Z. Li  & H. Huang

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

2012 journal article

Immortal particle for a catalytic branching process

PROBABILITY THEORY AND RELATED FIELDS, 153(1-2), 333–361.

By: I. Grigorescu * & M. Kang n

author keywords: Fleming-Viot branching; Immortal particle; Martin kernel; Doeblin condition; Jump diffusion process
Source: Web Of Science
Added: August 6, 2018

2012 journal article

Effects of feedback on active fault detection

AUTOMATICA, 48(5), 866–872.

By: A. Ashari*, R. Nikoukhah* & S. Campbell n 

author keywords: Fault detection; Linear system; Detection systems; Feedback; Optimal detection
TL;DR: Feedback plays an important role in control but its role in active fault detection based on auxiliary signals has not been explored, yet, so this paper begins that investigation. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2012 journal article

An Adaptive Mesh Refinement Strategy for Immersed Boundary/Interface Methods

COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 12(2), 515–527.

By: Z. Li n  & P. Song  n

author keywords: Adaptive mesh refinement; immersed boundary method; immersed interface method; elliptic interface problem; Cartesian grid method; level set representation; singular sources
TL;DR: An adaptive mesh refinement strategy is proposed for the Immersed Boundary and Immersed Interface methods for two-dimensional elliptic interface problems involving singular sources by distributing the mesh more economically, therefore, reduce the size of the linear system of the equations. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2012 journal article

A Numerical Method for Solving Elasticity Equations with Interfaces

COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 12(2), 595–612.

By: S. Hou *, Z. Li n , L. Wang * & W. Wang *

author keywords: Elasticity equations; non-body fitted mesh; finite element method; jump condition
TL;DR: An efficient non-traditional finite element method with non-body-fitting grids is proposed to solve elasticity equations with interfaces to choose the test function basis to be the standard finite element basis independent of the interface and the solution based to be piecewise linear satisfying the jump conditions across the interface. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2012 journal article

A Monte Carlo based analysis of optimal design criteria

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 20(1), 1–37.

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

author keywords: Optimal design methods; least squares inverse problems; Fisher information matrix; D-optimal; E-optimal; SE-optimal; Monte Carlo analysis
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2012 journal article

On the Berlekamp/Massey algorithm and counting singular Hankel matrices over a finite field

JOURNAL OF SYMBOLIC COMPUTATION, 47(4), 480–491.

By: M. Comer n & E. Kaltofen n

author keywords: Toeplitz matrix; Hankel matrix; Block matrix; Finite field; Singularity counts; Fixed entry; Berlekamp/Massey algorithm
TL;DR: An explicit count for the number of singular nxn Hankel (Toeplitz) matrices whose entries range over a finite field with q elements is derived by observing the execution of the Berlekamp/Massey algorithm on its elements. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2012 article

Who's #1?

Langville, A. N., & Meyer, C. D. (2012, July). SCIENTIFIC AMERICAN, Vol. 307, pp. 21–21.

By: A. Langville* & C. Meyer*

Source: Web Of Science
Added: August 6, 2018

2012 journal article

Variant quantifier elimination

Journal of Symbolic Computation, 47(7), 883–901.

By: H. Hong n  & M. Din *

TL;DR: The main idea underlying the algorithm is to substitute the repeated projection step of CAD by a single projection without carrying out a parametric existential decision over the reals, and it is found that the algorithm can tackle important and challenging problems, such as numerical stability analysis of the widely-used MacCormack's scheme. (via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions (OpenAlex)
Sources: NC State University Libraries, ORCID, NC State University Libraries
Added: August 6, 2018

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