Joshua Lee Padgett

Joshua Lee Padgett

University of Arkansas

H-index: 7

North America-United States

About Joshua Lee Padgett

Joshua Lee Padgett, With an exceptional h-index of 7 and a recent h-index of 6 (since 2020), a distinguished researcher at University of Arkansas, specializes in the field of Numerical Analysis, Operator Splitting, Differential Equations, Geometric Numerical Integration.

His recent articles reflect a diverse array of research interests and contributions to the field:

Towards an Algebraic Framework For Approximating Functions Using Neural Network Polynomials

Deep neural networks with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for Kolmogorov partial differential equations with Lipschitz …

Liquid Crystal Properties of Microgravity Dusty Plasma

Using Microgravity Dusty Plasma to Study Connections Between Non-Equilibrium Tsallis Statistics, Nonlinear Fokker Planck and Fractional Laplacian

Strong -error analysis of nonlinear Monte Carlo approximations for high-dimensional semilinear partial differential equations

Fractional Laplacian Spectral Approach to Anomalous Diffusion in Dusty Plasma*

A positivity-and monotonicity-preserving nonlinear operator splitting approach for approximating solutions to quenching-combustion semilinear partial differential equations

Fractional Laplacian spectral approach to turbulence in a dusty plasma monolayer

Joshua Lee Padgett Information

University

Position

___

Citations(all)

138

Citations(since 2020)

119

Cited By

74

hIndex(all)

7

hIndex(since 2020)

6

i10Index(all)

5

i10Index(since 2020)

4

Email

University Profile Page

Google Scholar

Joshua Lee Padgett Skills & Research Interests

Numerical Analysis

Operator Splitting

Differential Equations

Geometric Numerical Integration

Top articles of Joshua Lee Padgett

Towards an Algebraic Framework For Approximating Functions Using Neural Network Polynomials

arXiv preprint arXiv:2402.01058

2024/2/1

Joshua Lee Padgett
Joshua Lee Padgett

H-Index: 5

Ukash Nakarmi
Ukash Nakarmi

H-Index: 7

Deep neural networks with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for Kolmogorov partial differential equations with Lipschitz …

arXiv preprint arXiv:2309.13722

2023/9/24

Liquid Crystal Properties of Microgravity Dusty Plasma

APS Division of Plasma Physics Meeting Abstracts

2022

Using Microgravity Dusty Plasma to Study Connections Between Non-Equilibrium Tsallis Statistics, Nonlinear Fokker Planck and Fractional Laplacian

APS Division of Plasma Physics Meeting Abstracts

2022

Strong -error analysis of nonlinear Monte Carlo approximations for high-dimensional semilinear partial differential equations

arXiv preprint arXiv:2110.08297

2021/10/15

Fractional Laplacian Spectral Approach to Anomalous Diffusion in Dusty Plasma*

2021/9/12

A positivity-and monotonicity-preserving nonlinear operator splitting approach for approximating solutions to quenching-combustion semilinear partial differential equations

arXiv preprint arXiv:2109.05345

2021/9/11

Joshua Lee Padgett
Joshua Lee Padgett

H-Index: 5

Fractional Laplacian spectral approach to turbulence in a dusty plasma monolayer

Physics of Plasmas

2021/7/1

Object classification in analytical chemistry via data‐driven discovery of partial differential equations

Computational and Mathematical Methods

2021/7

Intrinsic properties of strongly continuous fractional semigroups in normed vector spaces

2021/5/11

Joshua Lee Padgett
Joshua Lee Padgett

H-Index: 5

Qin Sheng
Qin Sheng

H-Index: 17

Active turbulence in a dusty plasma monolayer

arXiv e-prints

2021/2

A series representation of the discrete fractional Laplace operator of arbitrary order

arXiv preprint arXiv:2101.03629

2021/1

Joshua Lee Padgett
Joshua Lee Padgett

H-Index: 5

Qin Sheng
Qin Sheng

H-Index: 17

Analysis of an approximation to a fractional extension problem

BIT Numerical Mathematics

2020/9

Anomalous diffusion in semi-crystalline polymer structures

arXiv e-prints

2020/6

Anomalous diffusion in one-dimensional disordered systems: a discrete fractional Laplacian method

arXiv preprint arXiv:1907.10824

2019/7/24

Numerical studies of energy transport in dusty plasma monolayer

APS Division of Plasma Physics Meeting Abstracts

2020

Semi-classical turbulence in a dusty plasma monolayer

APS Division of Plasma Physics Meeting Abstracts

2020

Numerical study of anomalous diffusion of light in semicrystalline polymer structures

Physical Review Research

2020/12/15

See List of Professors in Joshua Lee Padgett University(University of Arkansas)

Co-Authors

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