Joshua Lee Padgett

1. A series representation of the discrete fractional Laplace operator of arbitrary order
   2021/01/10 by Tiffany Frugé Jones, Jones, Tiffany Frugé, Evdokiya Kostadinova +4 · 2 citations
   Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials #Numerical Analysis (math.NA) #Spectral Theory in Mathematical Physics
2. Strong L^p-error analysis of nonlinear Monte Carlo approximations for high-dimensional semilinear partial differential equations
   2021/10/15 by Martin Hutzenthaler, Hutzenthaler, Martin, Arnulf Jentzen +5 · 1 citation
   Decision Sciences · Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Mathematical Approximation and Integration #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design #Probability (math.PR)
3. Deep neural networks with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for space-time solutions of semilinear partial differential equations
   2024/06/16 by Julia Ackermann, Ackermann, Julia, Arnulf Jentzen +5 · 2 citations
   Physics and Astronomy · #Model Reduction and Neural Networks