Joshua Lee Padgett

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Person:2049328

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zbMath Open padgett.joshua-leeMaRDI QIDQ2049328

List of research outcomes

PublicationDate of PublicationType
Deep neural networks with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for Kolmogorov partial differential equations with Lipschitz nonlinearities in the $L^p$-sense2023-09-24Paper
Anomalous diffusion in one-dimensional disordered systems: a discrete fractional Laplacian method2023-01-12Paper
Intrinsic properties of strongly continuous fractional semigroups in normed vector spaces2022-01-13Paper
Strong $L^p$-error analysis of nonlinear Monte Carlo approximations for high-dimensional semilinear partial differential equations2021-10-15Paper
A positivity- and monotonicity-preserving nonlinear operator splitting approach for approximating solutions to quenching-combustion semilinear partial differential equations2021-09-11Paper
A series representation of the discrete fractional Laplace operator of arbitrary order2021-08-25Paper
Analysis of an approximation to a fractional extension problem2020-08-17Paper
Convergence of an Operator Splitting Scheme for Abstract Stochastic Evolution Equations2020-06-29Paper
The quenching of solutions to time-space fractional Kawarada problems2020-02-05Paper
Numerical solution of degenerate stochastic Kawarada equations via a semi-discretized approach2019-12-12Paper
A variable nonlinear splitting algorithm for reaction diffusion systems with self‐ and cross‐ diffusion2019-07-25Paper
Anomalous Diffusion in One-Dimensional Disordered Systems: A Discrete Fractional Laplacian Method2019-07-24Paper
Nonuniform Crank‐Nicolson scheme for solving the stochastic Kawarada equation via arbitrary grids2017-08-24Paper
A nonlinear splitting algorithm for systems of partial differential equations with self-diffusion2017-06-13Paper
On the positivity, monotonicity, and stability of a semi-adaptive LOD method for solving three-dimensional degenerate Kawarada equations2016-04-15Paper

Research outcomes over time


Doctoral students

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