| Numerical solution of degenerate stochastic Kawarada equations via a semi-discretized approach JL Padgett, Q Sheng Applied Mathematics and Computation 325, 210-226, 2018 | 22 | 2018 |
| 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 | 19* | 2020 |
| The quenching of solutions to time–space fractional Kawarada problems JL Padgett Computers & Mathematics with Applications 76 (7), 1583-1592, 2018 | 16 | 2018 |
| 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 | 15 | 2019 |
| 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 | 12 | 2021 |
| 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 | 12 | 2017 |
| 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 | 12 | 2016 |
| 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 | 10 | 2017 |
| 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 | 9 | 2021 |
| 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 | 8 | 2023 |
| 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 | 7 | 2020 |
| 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 | 7 | 2016 |
| Analysis of an approximation to a fractional extension problem JL Padgett BIT Numerical Mathematics 60 (3), 715-739, 2020 | 4 | 2020 |
| 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 | 4 | 2019 |
| 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 | 3 | 2021 |
| 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 | 3 | 2017 |
| Deep neural networks with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for space-time solutions of semilinear partial differential … J Ackermann, A Jentzen, B Kuckuck, JL Padgett arXiv preprint arXiv:2406.10876, 2024 | 2 | 2024 |
| 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 | 2 | 2021 |
| Towards an Algebraic Framework For Approximating Functions Using Neural Network Polynomials S Rafi, JL Padgett, U Nakarmi arXiv preprint arXiv:2402.01058, 2024 | 1 | 2024 |
| A positivity-and monotonicity-preserving nonlinear operator splitting approach for approximating solutions to quenching-combustion semilinear partial differential equations JL Padgett, E Servin arXiv preprint arXiv:2109.05345, 2021 | 1 | 2021 |
Lorin Swint MatthewsProfessor of Physics, Baylor UniversityVerified email at baylor.edu
