Works Published in 2021
Displaying works 41 - 60 of 207 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2021 journal article
From Euclid to Corner Sums - a Trail of Telescoping Tricks
FILOMAT, 35(14), 4613–4636.
author keywords: Telescoping Sum; Corner Sum; Polynomials; Recurrence Relation
www.doiserbia.nb.rs (publisher PDF)
Source: Web Of Science
Added: February 7, 2022
2021 journal article
Monte Carlo estimators for the Schatten p-norm of symmetric positive semidefinite matrices
ETNA - Electronic Transactions on Numerical Analysis, 55, 213–241.
author keywords: Schatten p-norm; Monte Carlo estimator; optimal experimental design; Chebyshev polynomials
TL;DR:
A matrix-free method to estimate the Schatten $p$-norm using a Monte Carlo estimator and derive convergence results and error estimates for the estimator is proposed and demonstrated.
(via Semantic Scholar)
Source: ORCID
Added: January 31, 2022
2021 article
Multivariate Monotone Inclusions in Saddle Form
Bui, M. N., & Combettes, P. L. (2021, December 21). MATHEMATICS OF OPERATIONS RESEARCH, Vol. 12.
author keywords: monotone inclusion; monotone operator; saddle form; operator splitting; block-iterative algorithm; asynchronous algorithm; strong convergence
TL;DR:
A novel approach to monotone operator splitting based on the notion of a saddle operator, which achieves full splitting, exploits the specific attributes of each operator, is asynchronous, and requires to activate only blocks of operators at each iteration, as opposed to activating all of them.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities
(Web of Science; OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: January 10, 2022
2021 journal article
MULTILAYERED POROELASTICITY INTERACTING WITH STOKES FLOW
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 53(6), 6243–6279.
author keywords: poroelasticity; fluid-poroelastic structure interaction; poroelastic plate; multilay-ered poroelasticity; well-posedness
Sources: Web Of Science, ORCID, NC State University Libraries
Added: January 10, 2022
2021 journal article
ON THE GLOBAL CONTROLLABILITY OF SCALAR CONSERVATION LAWS WITH BOUNDARY AND SOURCE CONTROLS
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 59(6), 4314–4338.
author keywords: conservation laws; source control; global exact controllability; return method
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
15. Life on Land
(OpenAlex)
Source: Web Of Science
Added: January 10, 2022
2021 journal article
Investigating climate tipping points under various emission reduction and carbon capture scenarios with a stochastic climate model
author keywords: climate transition; tipping points; transient growth; bifurcation; stochastic differential equations
UN Sustainable Development Goal Categories
13. Climate Action
(Web of Science; OpenAlex)
15. Life on Land
(Web of Science)
Sources: Web Of Science, NC State University Libraries, ORCID
Added: January 3, 2022
2021 journal article
P-Partitions and Quasisymmetric Power Sums
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021(18), 13975–14015.
UN Sustainable Development Goal Categories
4. Quality Education
(Web of Science)
Source: Web Of Science
Added: January 3, 2022
2021 article
On nonlinear discrete Sturm-Liouville boundary value problems with unbounded nonlinearities
Freedman, B., & Rodriguez, J. (2021, December 22). JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS.
author keywords: Sturm-Liouville; boundary value problems; topological degree; Lyapunov-Schmidt
Source: Web Of Science
Added: January 3, 2022
2021 journal article
Single-cell transcriptomic analysis of zebrafish cranial neural crest reveals spatiotemporal regulation of lineage decisions during development
Cell Reports.
MeSH headings : Animals; Animals, Genetically Modified; Branchial Region / metabolism; Cell Communication; Cell Differentiation; Cell Lineage; Cell Movement; Cranial Nerves / metabolism; Embryo, Nonmammalian / metabolism; Gene Expression Profiling / methods; Gene Expression Regulation, Developmental; Neural Crest / metabolism; RNA-Seq; Signal Transduction; Single-Cell Analysis; Wnt Proteins / metabolism; Zebrafish / genetics; Zebrafish / metabolism; Zebrafish Proteins / genetics; Zebrafish Proteins / metabolism
TL;DR:
The results show that cranial NC cell lineages arise progressively and uncover a series of spatially restricted cell interactions likely to regulate such cell-fate decisions.
(via Semantic Scholar)
Source: ORCID
Added: December 22, 2021
2021 article
Numerical Solution of 3D Unsteady Scattering Problems with Sub-linear Complexity
2021 INTERNATIONAL APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY SYMPOSIUM (ACES).
author keywords: method of difference potentials; Huygens' principle; 3D wave equation
TL;DR:
An efficient high order accurate boundary algorithm for the numerical solution of unsteady exterior initial boundary problems for the three-dimensional wave equation using the method of difference potentials combined with the Huygens' principle is presented.
(via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: December 20, 2021
2021 journal article
A Mathematical Model of the Dynamics of Cytokine Expression and Human Immune Cell Activation in Response to the Pathogen Staphylococcus aureus
FRONTIERS IN CELLULAR AND INFECTION MICROBIOLOGY, 11.
author keywords: cytokines; mathematical modeling; immune response; immune system; Staphycoccus aureus; cytokine response; cell activation
MeSH headings : Cytokines; Humans; Models, Theoretical; Staphylococcal Infections; Staphylococcus aureus; Tumor Necrosis Factor-alpha
TL;DR:
Results show that the cellular activation and cytokine expression model characterizing septic conditions can predict ex vivo mechanisms in response to gram-negative and gram-positive bacteria.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: December 13, 2021
2021 article
Optimal control in poroelasticity
Bociu, L., & Strikwerda, S. (2021, November 27). APPLICABLE ANALYSIS, Vol. 11.
author keywords: Poroelasticity; optimal control; adjoint system; necessary optimality conditions
TL;DR:
This paper focuses on linear quadratic elliptic-parabolic control problems, with both distributed and boundary controls, and proves existence and uniqueness of optimal control, and derives the first order necessary optimality conditions.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: December 6, 2021
2021 journal article
SEAGLE: A Scalable Exact Algorithm for Large-Scale Set-Based Gene-Environment Interaction Tests in Biobank Data
FRONTIERS IN GENETICS, 12.
author keywords: gene-based GxE test for biobank data; GxE collapsing test for biobank data; GxE test for large-scale sequencing data; scalable GEI test; gene-environment variance component test; gene-environment kernel test; regional-based gene-environment test
TL;DR:
SEAGLE, a Scalable Exact AlGorithm for Large-scale set-based G×E tests, is presented to permit GxE VC tests for biobank-scale data to explore the interaction of gene and physical activity status on body mass index and demonstrates its utility by conducting genome-wide gene-basedG×E analysis on the Taiwan Biobank data.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
14. Life Below Water
(OpenAlex)
Sources: Web Of Science, ORCID
Added: November 29, 2021
2021 journal article
LOG-CONCAVE POLYNOMIALS, I: ENTROPY AND A DETERMINISTIC APPROXIMATION ALGORITHM FOR COUNTING BASES OF MATROIDS
DUKE MATHEMATICAL JOURNAL, 170(16), 3459–3504.
TL;DR:
It is proved that the multivariate generating polynomial of the bases of any matroid is log-concave as a function over the positive orthant, and a general framework for approximate counting in discrete problems, based on convex optimization is developed.
(via Semantic Scholar)
Source: Web Of Science
Added: November 29, 2021
2021 journal article
Evolution of nonlinear reduced-order solutions for PDEs with conserved quantities
SIAM J. on Scientific Computing, In Press. https://arxiv.org/abs/2104.13515
Source: ORCID
Added: November 28, 2021
2021 article
Optimal convergence of three iterative methods based on nonconforming finite element discretization for 2D/3D MHD equations
Xu, J., Su, H., & Li, Z. (2021, November 13). NUMERICAL ALGORITHMS, Vol. 11.
author keywords: Incompressible magneto-hydrodynamics equations; Nonconforming finite element; Iterative method; Stability; Optimal error estimate
Sources: Web Of Science, ORCID
Added: November 23, 2021
2021 article
MORE TRAVELING WAVES IN THE HOLLING-TANNER MODEL WITH WEAK DIFFUSION
Manukian, V., & Schecter, S. (2021, October). DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B.
author keywords: Geometric singular perturbation theory; traveling wave; compactifica-tion; prey-predator model; diffusive Holling-Tanner model; blow-up
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: November 23, 2021
2021 article
A MATHEMATICAL PERSPECTIVE ON RADAR INTERFEROMETRY
Gilman, M., & Tsynkov, S. (2021, July). INVERSE PROBLEMS AND IMAGING, Vol. 7.
author keywords: Inverse scattering; synthetic aperture radar (SAR); interferogram; phase difference; height retrieval; imaging operator; point scatterer; extended scatterer; coherence
Sources: Web Of Science, ORCID
Added: November 23, 2021
2021 journal article
Probabilistic Iterative Methods for Linear Systems
Journal of Machine Learning Research. http://jmlr.org/papers/v22/21-0031.html
Source: ORCID
Added: November 17, 2021
2021 article
A projector-based approach to quantifying total and excess uncertainties for sketched linear regression
Chi, J. T., & Ipsen, I. C. F. (2021, August 11). INFORMATION AND INFERENCE-A JOURNAL OF THE IMA, Vol. 8.
author keywords: expectation; variance; bias; mean squared error; predictive risk
TL;DR:
A projector-based approach to sketched linear regression is presented that is exact and that requires minimal assumptions on the sketching matrix, and enables derivation of key quantities from classic linear regression that account for the combined model- and algorithm-induced uncertainties.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions
(OpenAlex)
Sources: ORCID, Web Of Science
Added: November 17, 2021
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