Works Published in 2015
Displaying works 61 - 80 of 205 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2015 journal article
Professor V.S. Ryaben'kii. On the occasion of the 90-th birthday
Applied Numerical Mathematics, 93, 1–2.
Sources: Crossref, NC State University Libraries, ORCID
Added: June 30, 2019
2015 journal article
Reducible surgeries and Heegaard Floer homology
Mathematical Research Letters, 22(3), 763–788.
TL;DR:
This paper uses Heegaard Floer homology to study reducible surgeries and shows that p equals 2g(K)-1, which implies that any knot with an L-space surgery has at most one reducible surgery.
(via Semantic Scholar)
arxiv.org (repository)
Source: Crossref
Added: June 30, 2019
2015 journal article
Contact structures and reducible surgeries
Compositio Mathematica, 152(1), 152–186.
author keywords: cabling conjecture; Dehn surgery; contact structures; Stein fillings
Source: Crossref
Added: June 30, 2019
2015 journal article
Optima and equilibria for traffic flow on networks with backward propagating queues
Networks and Heterogeneous Media, 10(4), 717–748.
Contributors: A. Bressan & K. Nguyen *
author keywords: Traffic flows; network of roads; scalar conservation laws; global optima; Nash equilibria
TL;DR:
Two main results are proved: the existence of a globally optimal solution, minimizing the sum of the costs to all drivers, and the existenceof a Nash equilibrium solution, where no driver can lower his own cost by changing his departure time or the route taken to reach destination.
(via Semantic Scholar)
Sources: Crossref, ORCID, NC State University Libraries
Added: June 30, 2019
2015 journal article
Optimality conditions and regularity results for time optimal control problems with differential inclusions
Journal of Mathematical Analysis and Applications, 427(1), 202–228.
Contributors: P. Cannarsa *, A. Marigonda * & K. Nguyen *
author keywords: Proximal normal vectors; Differential inclusions; Time optimal control; Semiconcave functions
Sources: Crossref, ORCID, NC State University Libraries
Added: June 30, 2019
2015 journal article
Conservation law models for traffic flow on a network of roads
Networks and Heterogeneous Media, 10(2), 255–293.
Contributors: A. Bressan * & K. Nguyen *
author keywords: Traffic flows; network of roads; scalar conservation laws; Hamilton Jacobi equations; Lax type formula
TL;DR:
A model of traffic flow near an intersection, where drivers seeking to enter a congested road wait in a buffer of limited capacity, achieves well-posedness for general $L^\infty $ data, and continuity w.r.t. weak convergence of the initial densities.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(OpenAlex)
Sources: Crossref, ORCID, NC State University Libraries
Added: June 30, 2019
2015 journal article
Quantitative Compactness Estimates for Hamilton–Jacobi Equations
Archive for Rational Mechanics and Analysis, 219(2), 793–828.
UN Sustainable Development Goal Categories
15. Life on Land
(OpenAlex)
Sources: Crossref, NC State University Libraries
Added: June 30, 2019
2015 journal article
Randomized algorithms for generalized Hermitian eigenvalue problems with application to computing Karhunen-Loève expansion
Numerical Linear Algebra with Applications, 23(2), 314–339.
author keywords: randomized algorithms; generalized Hermitian eigenvalue problems; Karhunen-Loeve expansion
TL;DR:
The error analysis shows that the randomized algorithm is most accurate when the generalized singular values of B−1A decay rapidly, and the performance of the algorithm on computing an approximation to the Karhunen–Loève expansion is demonstrated.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Sources: NC State University Libraries, Crossref
Added: May 14, 2019
2015 journal article
Fast computation of uncertainty quantification measures in the geostatistical approach to solve inverse problems
Advances in Water Resources, 82, 124–138.
Contributors: A. Saibaba* & P. Kitanidis
author keywords: Inverse problems; Geostatistical approach; Uncertainty quantification; Seismic tomography; Hydraulic tomography
TL;DR:
This work considers the computational challenges associated with uncertainty quantification involved in parameter estimation such as seismic slowness and hydraulic transmissivity fields and shows how to efficiently compute measures of uncertainty that are based on scalar functions of the posterior covariance matrix.
(via Semantic Scholar)
Source: ORCID
Added: May 14, 2019
2015 journal article
Fast algorithms for hyperspectral diffuse optical tomography
SIAM Journal on Scientific Computing, 37(5), B712–B743.
Contributors: A. Saibaba* , M. Kilmer, E. Miller & S. Fantini
author keywords: diffuse optical tomography; inverse problems; recycling Krylov subspaces; parametric level set; recursive SVD
TL;DR:
A novel recycling-based Krylov subspace approach that leverages certain system similarities across wavelengths and develops a fast algorithm for compressing the Born operator that locally compresses across wavelengths for a given source-detector set and then recursively combines the low-rank factors to provide a global low- rank approximation.
(via Semantic Scholar)
Source: ORCID
Added: May 14, 2019
2015 journal article
Fast Kalman filter using hierarchical matrices and a low-rank perturbative approach
Inverse Problems, 31(1).
Contributors: A. Saibaba* , E. Miller * & P. Kitanidis*
author keywords: Kalman filter; hierarchical matrices; uncertainty quantification; random walk forecast model
TL;DR:
An efficient algorithm to update the weights of the preceding terms and the computation of eigenmodes of the generalized eigenvalue problem is described and shown how to efficiently compute measures of uncertainty and conditional realizations from the state distribution at each time step.
(via Semantic Scholar)
Source: ORCID
Added: May 14, 2019
2015 journal article
A fast algorithm for parabolic PDE-based inverse problems based on Laplace transforms and flexible Krylov solvers
Journal of Computational Physics, 299, 940–954.
Contributors: T. Bakhos*, A. Saibaba* & P. Kitanidis*
author keywords: Inverse problems; Krylov solvers; Hydraulic tomography; Laplace transforms
TL;DR:
This work proposes an efficient method based on a Laplace transform-based exponential time integrator combined with a flexible Krylov subspace approach to solve the resulting shifted systems of equations efficiently and speeds up the computation of the forward and adjoint problems, thus yielding significant speedup in total inversion time.
(via Semantic Scholar)
Source: ORCID
Added: May 14, 2019
2015 conference paper
3D parameter reconstruction in hyperspectral diffuse optical tomography
Progress in Biomedical Optics and Imaging - Proceedings of SPIE, 9319.
Contributors: A. Saibaba* , N. Krishnamurthy *, P. Anderson *, J. Kainerstorfer *, A. Sassaroli *, E. Miller *, S. Fantini *, M. Kilmer*
author keywords: Hyperspectral Imaging; Diffuse Optical Tomography; Born approximation; Fast algorithms
Source: ORCID
Added: May 14, 2019
2015 journal article
Two evolving social network models
Alea-Latin American Journal of Probability and Mathematical Statistics, 12(2), 699–715.
Source: NC State University Libraries
Added: August 6, 2018
2015 conference paper
A small frame and a certificate of its injectivity
2015 International Conference on Sampling Theory and Applications (SAMPTA), 197–200.
TL;DR:
A complex frame of eleven vectors in 4-space is presented and it is proved that it defines injective measurements, which disproves a recent conjecture of Bandeira, Cahill, Mixon, and Nelson.
(via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018
2015 article
The Helmholtz Conditions and the Method of Controlled Lagrangians
INVERSE PROBLEM OF THE CALCULUS OF VARIATIONS: LOCAL AND GLOBAL THEORY, pp. 1–29.
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2015 conference paper
Recent advances in beam optics analyzer
2015 ieee international vacuum electronics conference (ivec).
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018
2015 conference paper
The nonnegative matrix factorization and atomic deconvolution
Proceedings 2015 ieee international conference on bioinformatics and biomedicine, 1650–1657.
TL;DR:
The NMF analysis in the case of the convolution has the clear roles of convolution kernel and signal, and the idea of the two factors to the Fourier transform and a coordinate-descent method is developed in order to determine phases.
(via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018
2015 conference paper
Robust finite-time filtering for singular discrete-time stochastic systems
2015 27th chinese control and decision conference (ccdc), 913–918.
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018
2015 journal article
Bayesian uncertainty analysis of finite deformation viscoelasticity
MECHANICS OF MATERIALS, 91, 35–49.
author keywords: Viscoelasticity; Uncertainty; Dielectric elastomers; Bayesian statistics
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
16. Peace, Justice and Strong Institutions
(OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
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