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Joshua Lee Padgett
Joshua Lee Padgett
Lead Data Scientist, Toyota Financial Services
Verified email at toyota.com - Homepage
Title
Cited by
Cited by
Year
Numerical solution of degenerate stochastic Kawarada equations via a semi-discretized approach
JL Padgett, Q Sheng
Applied Mathematics and Computation 325, 210-226, 2018
222018
Anomalous diffusion in one-dimensional disordered systems: a discrete fractional Laplacian method
JL Padgett, EG Kostadinova, CD Liaw, K Busse, LS Matthews, TW Hyde
Journal of Physics A: Mathematical and Theoretical 53 (13), 135205, 2020
17*2020
Convergence of an operator splitting scheme for abstract stochastic evolution equations
JL Padgett, Q Sheng
Advances in mathematical methods and high performance computing, 163-179, 2019
142019
The quenching of solutions to time–space fractional Kawarada problems
JL Padgett
Computers & Mathematics with Applications 76 (7), 1583-1592, 2018
142018
On the positivity, monotonicity, and stability of a semi-adaptive LOD method for solving three-dimensional degenerate Kawarada equations
JL Padgett, Q Sheng
Journal of Mathematical Analysis and Applications 439 (2), 465-480, 2016
102016
Delocalization in infinite disordered two-dimensional lattices of different geometry
EG Kostadinova, K Busse, N Ellis, J Padgett, CD Liaw, LS Matthews, ...
Physical Review B 96 (23), 235408, 2017
92017
Nonuniform Crank‐Nicolson scheme for solving the stochastic Kawarada equation via arbitrary grids
JL Padgett, Q Sheng
Numerical Methods for Partial Differential Equations 33 (4), 1305-1328, 2017
92017
Strong -error analysis of nonlinear Monte Carlo approximations for high-dimensional semilinear partial differential equations
M Hutzenthaler, A Jentzen, B Kuckuck, JL Padgett
arXiv preprint arXiv:2110.08297, 2021
72021
Numerical study of anomalous diffusion of light in semicrystalline polymer structures
EG Kostadinova, JL Padgett, CD Liaw, LS Matthews, TW Hyde
Physical Review Research 2 (4), 043375, 2020
72020
On the stability of a variable step exponential splitting method for solving multidimensional quenching-combustion equations
JL Padgett, Q Sheng
Modern Mathematical Methods and High Performance Computing in Science and …, 2016
72016
Deep neural networks with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for Kolmogorov partial differential equations with Lipschitz …
J Ackermann, A Jentzen, T Kruse, B Kuckuck, JL Padgett
arXiv preprint arXiv:2309.13722, 2023
62023
Fractional Laplacian spectral approach to turbulence in a dusty plasma monolayer
EG Kostadinova, R Banka, JL Padgett, CD Liaw, LS Matthews, TW Hyde
Physics of Plasmas 28 (7), 2021
62021
Analysis of an approximation to a fractional extension problem
JL Padgett
BIT Numerical Mathematics 60 (3), 715-739, 2020
42020
A variable nonlinear splitting algorithm for reaction diffusion systems with self‐and cross‐diffusion
MA Beauregard, JL Padgett
Numerical Methods for Partial Differential Equations 35 (2), 597-614, 2019
42019
Object classification in analytical chemistry via data‐driven discovery of partial differential equations
JL Padgett, Y Geldiyev, S Gautam, W Peng, Y Mechref, A Ibraguimov
Computational and Mathematical Methods 3 (4), e1164, 2021
32021
A nonlinear splitting algorithm for systems of partial differential equations with self-diffusion
MA Beauregard, J Padgett, R Parshad
Journal of Computational and Applied Mathematics 321, 8-25, 2017
32017
Intrinsic properties of strongly continuous fractional semigroups in normed vector spaces
TF Jones, JL Padgett, Q Sheng
From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number …, 2021
22021
Active turbulence in a dusty plasma monolayer
EG Kostadinova, R Banka, JL Padgett, CD Liaw, LS Matthews, TW Hyde
arXiv e-prints, arXiv: 2102.09344, 2021
12021
A series representation of the discrete fractional Laplace operator of arbitrary order
TF Jones, EG Kostadinova, JL Padgett, Q Sheng
arXiv preprint arXiv:2101.03629, 2021
12021
Anomalous diffusion in semi-crystalline polymer structures
EG Kostadinova, JL Padgett, CD Liaw, LS Matthews, TW Hyde
arXiv e-prints, arXiv: 2006.01068, 2020
12020
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