Mathematics

College of Sciences

Works Published in 2022

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Displaying works 81 - 100 of 144 in total

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

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2022 journal article

Post-Radiotherapy PET Image Outcome Prediction by Deep Learning Under Biological Model Guidance: A Feasibility Study of Oropharyngeal Cancer Application

FRONTIERS IN ONCOLOGY, 12.

By: H. Ji n , K. Lafata *, Y. Mowery *, D. Brizel*, A. Bertozzi *, F. Yin *, C. Wang *

author keywords: biological modeling; deep learning; image outcome prediction; radiotherapy; (18)FDG-PET
Sources: Web Of Science, ORCID
Added: June 20, 2022

2022 article

An XGBoost-Based Fitted Q Iteration for Finding the Optimal STI Strategies for HIV Patients

Yu, Y., & Tran, H. (2022, June 2). IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, Vol. 6.

By: Y. Yu * & H. Tran n 

author keywords: Viruses (medical); Immune system; Drugs; Numerical models; Subspace constraints; Mathematical models; Load modeling; Fitted Q iteration algorithm; human immunodeficiency virus (HIV); reinforcement learning; structured treatment interruption (STI) strategy; XGBoost regression
Sources: Web Of Science, ORCID
Added: June 20, 2022

2022 journal article

Numerical simulation and analysis of multiscale interface coupling between a poroelastic medium and a lumped hydraulic circuit: Comparison between functional iteration and operator splitting methods

JOURNAL OF COMPUTATIONAL PHYSICS, 466.

By: L. Bociu n , G. Guidoboni *, R. Sacco * & D. Prada *

author keywords: Multiscale interface coupling; Poroelasticity; Lumped hydraulic circuit; Operator splitting; Functional iterations
Sources: ORCID, Web Of Science
Added: June 18, 2022

2022 journal article

Torsion in thin regions of Khovanov homology

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 74(3), 630–654.

By: A. Chandler*, A. Lowrance, R. Sazdanovic*  & V. Summers

author keywords: Knot; Khovanov homology; homologically thin
Source: Web Of Science
Added: June 13, 2022

2022 journal article

A broken circuit model for chromatic homology theories

EUROPEAN JOURNAL OF COMBINATORICS, 104.

By: A. Chandler* & R. Sazdanovic n 

Source: Web Of Science
Added: June 6, 2022

2022 journal article

A high order compact time/space finite difference scheme for the 2D and 3D wave equation with a damping layer

JOURNAL OF COMPUTATIONAL PHYSICS, 460.

By: A. Kahana*, F. Smith n, E. Turkel * & S. Tsynkov n 

author keywords: Compact finite differences; Absorbing boundary layer; Unbounded domain; High-order accuracy; Wave equation
Sources: Web Of Science, ORCID
Added: May 31, 2022

2022 article

Influence of water table dynamics on spatial and temporal patterns of hydroclimate extremes over Lake Victoria Basin, East Africa: Comparison of wet and dry years

Anyah, R., Xia, S., & Semazzi, F. (2022, May 16). INTERNATIONAL JOURNAL OF CLIMATOLOGY.

By: R. Anyah *, S. Xia  n & F. Semazzi n

author keywords: Lake Victoria Basin; water table dynamics; wet and dry conditions
Source: Web Of Science
Added: May 31, 2022

2022 journal article

Weak solutions in nonlinear poroelasticity with incompressible constituents

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 67.

By: L. Bociu* , B. Muha & J. Webster

author keywords: Nonlinear poroelasticity; Implicit evolution equations; Quasilinear parabolic; Weak solutions; Energy methods; Incompressible constituents
Sources: Web Of Science, ORCID
Added: May 31, 2022

2022 journal article

Local Unitary Equivalence of Generic Multi-qubits Based on the CP Decomposition

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 61(5).

By: J. Chang* & N. Jing n 

author keywords: Local unitary equivalence; Tensors; CP decomposition
Sources: Web Of Science, ORCID
Added: May 23, 2022

2022 journal article

Consistent time‐homogeneous modeling of SPX and VIX derivatives

Mathematical Finance, 32(3), 907–940.

By: A. Papanicolaou n 

author keywords: consistent pricing; market models; stochastic volatility; VIX futures
Sources: Web Of Science, ORCID, Crossref
Added: May 23, 2022

2022 journal article

A new patch up technique for elliptic partial differential equation with irregularities

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 407.

By: S. Singh *, S. Singh* & Z. Li n 

author keywords: Elliptic partial differential equation; Interface; Jump conditions; Cubic spline collocation; Irregularities; Patch up technique
Sources: Web Of Science, ORCID
Added: May 16, 2022

2022 journal article

Model-assisted deep learning of rare extreme events from partial observations

CHAOS, 32(4).

By: A. Asch*, E. J. Brady, H. Gallardo *, J. Hood *, B. Chu n & M. Farazmand n 

MeSH headings : Computer Simulation; Deep Learning; Memory, Long-Term; Neural Networks, Computer; Reproducibility of Results
Sources: Web Of Science, ORCID
Added: May 16, 2022

2022 journal article

Near-Optimal Variance-Based Uncertainty Relations

FRONTIERS IN PHYSICS, 10.

By: Y. Xiao *, N. Jing n , B. Yu *, S. Fei* & X. Li-Jost*

author keywords: <p>numbers:& nbsp;03.65.ta,& nbsp;& nbsp;03.67.a,& nbsp;& nbsp;42.50.lc</p>; uncertainty relation; variance-based; uncertainty interval
Sources: Web Of Science, ORCID
Added: May 16, 2022

2022 journal article

Detection of Multipartite Entanglement Based on Heisenberg-Weyl Representation of Density Matrices

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 61(5).

By: H. Zhao *, Y. Yang, N. Jing n , Z. Wang * & S. Fei*

author keywords: Heisenberg-Weyl representation; Genuine entanglement; Correlation tensor
Sources: Web Of Science, ORCID
Added: May 16, 2022

2022 journal article

Tukey Depths and Hamilton-Jacobi Differential Equations

SIAM JOURNAL ON MATHEMATICS OF DATA SCIENCE, 4(2), 604–633.

By: M. Molina-Fructuoso*  & R. Murray* 

author keywords: statistical depths; robust statistics; Hamilton-Jacobi equations; viscosity solutions
Sources: ORCID, Web Of Science
Added: May 12, 2022

2022 article

Shape-morphing reduced-order models for nonlinear Schrodinger equations

Anderson, W., & Farazmand, M. (2022, April 25). NONLINEAR DYNAMICS, Vol. 4.

By: W. Anderson n & M. Farazmand n 

author keywords: Model order reduction; Partial differential equations; Nonlinear Schrodinger equation; Variational methods
Sources: Web Of Science, ORCID
Added: May 10, 2022

2022 journal article

A multilevel approach to stochastic trace estimation

LINEAR ALGEBRA AND ITS APPLICATIONS, 638, 125–149.

By: E. Hallman n & D. Troester n

author keywords: Spectral function; Trace estimation; Chebyshev approximation; Hutchinson's trace estimator; Multilevel Monte Carlo
Source: Web Of Science
Added: May 2, 2022

2022 journal article

On Weissler's Conjecture on the Hamming Cube I

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022(9), 6991–7020.

By: P. Ivanisvili n & F. Nazarov*

Source: Web Of Science
Added: May 2, 2022

2022 journal article

The Green polynomials via vertex operators

JOURNAL OF PURE AND APPLIED ALGEBRA, 226(8).

By: N. Jing n  & N. Liu *

author keywords: Green's polynomials; Vertex operators; Hall-Littlewood functions; Hecke algebra
Sources: Web Of Science, ORCID
Added: May 2, 2022

2022 journal article

A new parameter free partially penalized immersed finite element and the optimal convergence analysis

NUMERISCHE MATHEMATIK, 150(4), 1035–1086.

By: H. Ji *, F. Wang *, J. Chen* & Z. Li n 

author keywords: 65N15; 65N30; 35R05
Sources: Web Of Science, ORCID
Added: April 25, 2022