Mathematics

College of Sciences

Works Published in 2020

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Displaying works 1 - 20 of 149 in total

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

2020 chapter

Central-upwind scheme for a non-hydrostatic Saint-Venant system

In Hyperbolic problems: theory, numerics, applications (Vol. 10, pp. 25–41). Am. Inst. Math. Sci. (AIMS), Springfield, MO.

By: A. Chertock, A. Kurganov, J. Miller & J. Yan

Source: ORCID
Added: September 19, 2023

2020 journal article

EFFECTIVE l 2 DECOUPLING FOR THE PARABOLA

Mathematika, 66(3), 681–712.

By: Z. Li*

Sources: Crossref, ORCID
Added: August 24, 2023

2020 journal article

Nonlinear power-like and SVD-like iterative schemes with applications to entangled bipartite rank-1 approximation

SIAM Journal on Scientific Computing, S448–S474.

By: M. Chu* & M. Lin

Source: ORCID
Added: July 4, 2023

2020 journal article

Theory for undercompressive shocks in tears of wine

Physical Review Fluids, 5(3).

By: Y. Dukler*, H. Ji*, C. Falcon* & A. Bertozzi*

Sources: ORCID, Crossref
Added: May 18, 2023

2020 journal article

Steady states and dynamics of a thin-film-type equation with non-conserved mass

European Journal of Applied Mathematics, 11, 1–34.

Source: ORCID
Added: May 18, 2023

2020 journal article

Modelling film flows down a fibre influenced by nozzle geometry

Journal of Fluid Mechanics, 901.

By: H. Ji*, A. Sadeghpour*, Y. Ju* & A. Bertozzi*

Sources: ORCID, Crossref
Added: May 18, 2023

2020 conference paper

Crystal for Stable Grothendieck Polynomials

Proceedings of of the 32nd Conference on Formal Power Series and Algebraic Combinatorics. Presented at the 32nd Conference on Formal Power Series and Algebraic Combinatorics, Ramat Gan, Israel.

By: J. Morse, J. Pan, W. Poh & A. Schilling

Event: 32nd Conference on Formal Power Series and Algebraic Combinatorics at Ramat Gan, Israel on July 13-17, 2020

Source: NC State University Libraries
Added: March 31, 2023

2020 journal article

A Crystal on Decreasing Factorizations in the 0-Hecke Monoid

The Electronic Journal of Combinatorics, 27(2).

By: J. Morse, J. Pan*, W. Poh & A. Schilling*

Sources: ORCID, Crossref
Added: March 30, 2023

2020 journal article

A functional analysis approach to the static replication of European options

Quantitative Finance, 21(4), 637–655.

By: S. Bossu*, P. Carr* & A. Papanicolaou*

author keywords: Derivatives; Options; Static replication; Payoff; Integral equation; Functional analysis; Spectral theorem; Breeden-Litzenberger formula; Implied distribution
Sources: Crossref, ORCID
Added: February 18, 2023

2020 journal article

PCA for Implied Volatility Surfaces

The Journal of Financial Data Science, 2(2), 85–109.

By: M. Avellaneda, B. Healy, A. Papanicolaou* & G. Papanicolaou

Sources: ORCID, Crossref
Added: January 13, 2023

2020 chapter

Khovanov Link Homology

In C. Adams, E. Flapan, A. Henrich, L. H. Kauffman, L. D. Ludwig, & S. Nelson (Eds.), Encyclopedia of Knot Theory (pp. Chapter 70). Chapman & Hall.

By: R. Sazdanovic

Ed(s): C. Adams, E. Flapan, A. Henrich, L. Kauffman, L. Ludwig & S. Nelson

Source: NC State University Libraries
Added: September 23, 2022

2020 journal article

A Method for Dimensionally Adaptive Sparse Trigonometric Interpolation of Periodic Functions

SIAM Journal on Scientific Computing, 42(4), A2436–A2460.

By: Z. Morrow & M. Stoyanov

author keywords: sparse interpolation; trigonometric interpolation; adaptive refinement; periodicity-preserving approximation
Source: ORCID
Added: September 6, 2021

2020 journal article

Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis

Journal of Applied and Computational Topology, 4(4), 481–507.

Source: ORCID
Added: August 22, 2021

2020 journal article

Defining Epidermal Basal Cell States during Skin Homeostasis and Wound Healing Using Single-Cell Transcriptomics

Cell Reports, 30(11), 3932–3947.e6.

By: D. Haensel*, S. Jin*, P. Sun*, R. Cinco*, M. Dragan*, Q. Nguyen*, Z. Cang*, Y. Gong* ...

MeSH headings : Animals; Cell Movement / genetics; Epidermis / metabolism; Epidermis / pathology; Female; Gene Expression Profiling; Homeostasis / genetics; Inflammation / genetics; Inflammation / pathology; Mice, Inbred C57BL; Mice, Transgenic; Single-Cell Analysis; Up-Regulation / genetics; Wound Healing / genetics
Source: ORCID
Added: August 22, 2021

2020 journal article

Structural cavities are critical to balancing stability and activity of a membrane-integral enzyme

Proceedings of the National Academy of Sciences, 117(36), 22146–22156.

By: R. Guo*, Z. Cang*, J. Yao*, M. Kim*, E. Deans*, G. Wei*, S. Kang*, H. Hong*

author keywords: membrane protein stability; cavity; packing; GIpG; steric trapping
MeSH headings : Catalytic Domain; DNA-Binding Proteins / chemistry; DNA-Binding Proteins / metabolism; Endopeptidases / chemistry; Endopeptidases / metabolism; Escherichia coli Proteins / chemistry; Escherichia coli Proteins / metabolism; Humans; Membrane Proteins / chemistry; Membrane Proteins / metabolism; Models, Molecular; Molecular Dynamics Simulation; Mutation; Protein Conformation; Protein Folding; Protein Stability; Serine Endopeptidases / chemistry
Source: ORCID
Added: August 22, 2021

2020 journal article

Persistent Cohomology for Data With Multicomponent Heterogeneous Information

SIAM Journal on Mathematics of Data Science, 2(2), 396–418.

By: Z. Cang* & G. Wei

author keywords: topological data analysis; machine learning; biophysics; drug design
Source: ORCID
Added: August 22, 2021

2020 journal article

Inferring spatial and signaling relationships between cells from single cell transcriptomic data

Nature Communications.

By: Z. Cang* & Q. Nie*

MeSH headings : Animals; Cell Communication; Cluster Analysis; Databases, Genetic; Drosophila / embryology; Drosophila / genetics; Gene Expression Regulation, Developmental; Reproducibility of Results; Sequence Analysis, RNA; Signal Transduction / genetics; Single-Cell Analysis; Transcriptome / genetics; Visual Cortex / metabolism; Zebrafish / embryology; Zebrafish / genetics
Source: ORCID
Added: August 22, 2021

2020 journal article

A topology-based network tree for the prediction of protein–protein binding affinity changes following mutation

Nature Machine Intelligence.

By: M. Wang*, Z. Cang* & G. Wei*

Source: ORCID
Added: August 22, 2021

2020 journal article

A review of mathematical representations of biomolecular data

Physical Chemistry Chemical Physics.

Source: ORCID
Added: August 22, 2021

2020 journal article

Multi-Linear Population Analysis (MLPA) of LFP Data Using Tensor Decompositions

FRONTIERS IN APPLIED MATHEMATICS AND STATISTICS, 6.

By: J. Geddes n, G. Einevol*, E. Acar* & A. Stasik*

author keywords: tensor decompositions; neuroscience; local field potential (LFP); population rate model; CANDECOMP; PARAFAC; independent component analysis (ICA); principal component analysis (PCA)
Source: Web Of Science
Added: August 16, 2021