Mathematics

Works Published in 2017

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Displaying works 101 - 120 of 199 in total

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

2017 conference paper

Identifiability and active subspace analysis for a polydomain ferroelectric phase field model

Proceedings of the asme conference on smart materials adaptive.

By: L. Leon n, R. Smith n , W. Oates * & P. Miles*

UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018

2017 journal article

Dynamics of degenerate quasilinear reaction diffusion systems with nonnegative initial functions

JOURNAL OF DIFFERENTIAL EQUATIONS, 263(11), 7709–7752.

By: C. Pao n & W. Ruan*

author keywords: Quasilinear reaction diffusion systems; Upper and lower solutions; Weak and classical solutions; Asymptotic behavior; Lotka-Volterra models
Source: Web Of Science
Added: August 6, 2018

2017 conference paper

Data-driven model development and feedback control design for PZT bimorph actuators

Proceedings of the asme conference on smart materials adaptive.

By: N. Bravo n, R. Smith n  & J. Crews*

UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018

2017 journal article

Completion of tree metrics and rank 2 matrices

LINEAR ALGEBRA AND ITS APPLICATIONS, 533, 1–13.

By: D. Bernstein n

author keywords: Low-rank matrix completion; Algebraic matroids; Tropical geometry; Tree-metric completion
TL;DR: This work gives a combinatorial description of the collections of pairwise distances between several taxa that may be arbitrarily prescribed while still allowing the resulting dissimilarity map to be completed to a tree metric. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2017 conference paper

A multi-axial electromechanically-coupled homogenized energy model for ferroelectric materials

Proceedings of the asme conference on smart materials adaptive.

By: W. Oates * & R. Smith n 

UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018

2017 conference paper

A maximum entropy approach for uncertainty quantification and analysis of multifunctional materials

Proceedings of the asme conference on smart materials adaptive.

By: W. Gao*, W. Oates * & R. Smith n 

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

2017 journal article

A Stochastic Model of Optimal Debt Management and Bankruptcy

SIAM JOURNAL ON FINANCIAL MATHEMATICS, 8(1), 841–873.

By: A. Bressan, A. Marigonda *, K. Nguyen  n & M. Palladino *

Contributors: A. Bressan, A. Marigonda *, K. Nguyen  n & M. Palladino *

author keywords: debt management and bankruptcy; infinite time horizon; optimal feedback solution
TL;DR: For a given bankruptcy threshold, existence and properties of optimal feedback strategies for the borrower are studied, in a stochastic framework as well as in a limit deterministic setting. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2017 journal article

MULTIPRECONDITIONED GMRES FOR SHIFTED SYSTEMS

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 39(5), S222–S247.

By: T. Bakhos, P. Kitanidis, S. Ladenheim, A. Saibaba*  & D. Szyld

author keywords: shifted systems; Krylov solvers; GMRES
TL;DR: An implementation of GMRES with multiple preconditioners (MPGMRES) is proposed for solving shifted linear systems with shift-and-invert preconditionsers, and the numerical results indicate the effectiveness of the proposed approach. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2017 journal article

Local Improvement Results for Anderson Acceleration with Inaccurate Function Evaluations

SIAM Journal on Scientific Computing, 39(5), S47–S65.

By: A. Toth*, J. Ellis  n, T. Evans *, S. Hamilton *, C. Kelley n , R. Pawlowski*, S. Slattery *

author keywords: nonlinear equations; Anderson acceleration; local improvement
TL;DR: This work analyzes the convergence of Anderson acceleration when the fixed point map is corrupted with errors and considers uniformly bounded errors and stochastic errors with infinite tails. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, Crossref, NC State University Libraries
Added: August 6, 2018

2017 journal article

GENERALIZED HYBRID ITERATIVE METHODS FOR LARGE-SCALE BAYESIAN INVERSE PROBLEMS

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 39(5), S24–S46.

By: J. Chung & A. Saibaba* 

author keywords: inverse problems; Bayesian methods; hybrid iterative methods; Tikhonov regularization; Golub-Kahan bidiagonalization; Matern covariance kernels
TL;DR: A hybrid algorithm based on the generalized Golub-Kahan bidiagonalization for computing Tikhonov regularized solutions to problems where explicit computation of the square root and inverse of the covariance kernel for the prior covariance matrix is not feasible. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2017 journal article

ACCURATE GRADIENT COMPUTATIONS AT INTERFACES USING FINITE ELEMENT METHODS

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 27(3), 527–537.

By: F. Qin*, Z. Wang  n, Z. Ma * & Z. Li n 

author keywords: elliptic interface problems; gradient/flux computation; IFEM; mixed FE formulation; computational tube
TL;DR: A rigorous one dimensional analysis is presented, which shows a second order convergence order for both the solution and the gradient in 1D, and super-convergence for the gradient at the interface for two dimensional problems. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2017 journal article

Quantum hyperdeterminants and hyper-Pfaffians

MATHEMATISCHE ZEITSCHRIFT, 287(3-4), 897–914.

By: N. Jing n  & J. Zhang *

author keywords: Quantum hyperdeterminants; Cayley's hyperdeterminant; Quantum hyper-Pfaffians; q-Forms; Quantum monoids
UN Sustainable Development Goal Categories
10. Reduced Inequalities (Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2017 journal article

Idempotent conjugacy in monoids

SEMIGROUP FORUM, 95(2), 366–378.

By: M. Putcha n

author keywords: Idemotent conjugacy; Parabolic subgroups; Graham blocks
Source: Web Of Science
Added: August 6, 2018

2017 journal article

An Augmented Method for 4th Order PDEs with Discontinuous Coefficients

JOURNAL OF SCIENTIFIC COMPUTING, 73(2-3), 968–979.

By: Z. Li n  & F. Qin*

author keywords: 4th order PDE; Discontinuous coefficient; Fast Poisson solver; Augmented immersed interface method; Schur complement; Natural jump conditions
TL;DR: The proposed method is probably the first finite difference method for such an interface problem although the paper is partially motivated by the immersed finite element method. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2017 journal article

Well-posed continuum equations for granular flow with compressibility and μ ( I )-rheology

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473(2201), 20160846.

By: T. Barker *, D. Schaeffer*, M. Shearer n  & J. Gray *

author keywords: granular flow; continuum modelling; rheology
TL;DR: The results show that, with compressibility, the equations are well-posed for all deformation rates provided that μ(I) satisfies certain minimal, physically natural, inequalities. (via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Sources: Web Of Science, NC State University Libraries, Crossref
Added: August 6, 2018

2017 journal article

SENSITIVITY ANALYSIS IN PORO-ELASTIC AND PORO-VISCO-ELASTIC MODELS WITH RESPECT TO BOUNDARY DATA

QUARTERLY OF APPLIED MATHEMATICS, 75(4), 697–735.

By: H. Banks n, K. Bekele-Maxwell n, L. Bociu n , M. Noorman  n & G. Guidoboni *

author keywords: Sensitivity; poro-elastic; poro-visco-elastic; biological tissues; complex-step method
TL;DR: Sensitivity analysis is the first step towards optimization and control problems associated with these models, which is the ultimate goal. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2017 journal article

SB-labelings and posets with each interval homotopy equivalent to a sphere or a ball

JOURNAL OF COMBINATORIAL THEORY SERIES A, 152, 104–120.

By: P. Hersh n & K. Meszaros*

author keywords: Poset topology; Mobius function; Crosscut complex; Tamari lattice; Weak order
TL;DR: It is proved for finite lattices which admit an $SB$-labeling that each open interval has the homotopy type of a ball or of a sphere of some dimension. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Randomized matrix-free trace and log-determinant estimators

NUMERISCHE MATHEMATIK, 137(2), 353–395.

By: A. Saibaba n , A. Alexanderian n & I. Ipsen n 

Contributors: A. Saibaba n , A. Alexanderian n & I. Ipsen  n

TL;DR: Random algorithms for estimating the trace and determinant of Hermitian positive semi-definite matrices and the error due to randomization are presented, for starting guesses whose elements are Gaussian or Rademacher random variables. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID
Added: August 6, 2018

2017 article

Paul Frederick Zweifel

McCormick, N. J., Siewert, C. E., Ganapol, B. D., & Prinja, A. K. (2017, August). PHYSICS TODAY, Vol. 70, pp. 73–73.

By: N. McCormick *, C. Siewert n, B. Ganapol * & A. Prinja *

Source: Web Of Science
Added: August 6, 2018

2017 journal article

On the Death Rate of Abortively Infected Cells: Estimation from Simian-Human Immunodeficiency Virus Infection

JOURNAL OF VIROLOGY, 91(18).

By: R. Ke n, M. Cong *, D. Li *, J. Garcia-Lerma * & A. Perelson *

author keywords: abortive infection; SHIV; mathematical modeling; viral kinetics
MeSH headings : Animals; Cell Death; DNA, Viral / analysis; HIV / growth & development; Macaca mulatta; Models, Theoretical; RNA, Viral / blood; Simian Acquired Immunodeficiency Syndrome / immunology; Simian Acquired Immunodeficiency Syndrome / virology; Simian Immunodeficiency Virus / growth & development; T-Lymphocytes / virology; Viral Load
TL;DR: The results provide the first in vivo quantitative estimates of parameters characterizing abortive infection and support the notion that abortedive infection represents an important mechanism underlying progressive CD4+ T cell depletion in vivo. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

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