23 citations · 127 across the 19 of their papers we have counts for
4 papers · 1 filter
Strong -error analysis of nonlinear Monte Carlo approximations for high-dimensional semilinear partial differential equations
Martin Hutzenthaler, Arnulf Jentzen, Benno Kuckuck +1
Full-history recursive multilevel Picard (MLP) approximation schemes have been shown to overcome the curse of dimensionality in the numerical approximation of high-dimensional semi…
A positivity- and monotonicity-preserving nonlinear operator splitting approach for approximating solutions to quenching-combustion semilinear partial differential equations
Joshua Lee Padgett, Eduardo Servin
In recent years, there has been a large increase in interest in numerical algorithms which preserve various qualitative features of the original continuous problem. Herein, we prop…
Fractional Laplacian Spectral Approach to Turbulence in a Dusty Plasma Monolayer
Evdokiya G Kostadinova, Rahul Banka, Joshua L Padgett +3
This work presents an analytical investigation of anomalous diffusion and turbulence in a dusty plasma monolayer, where energy transport across scales leads to the spontaneous form…
A series representation of the discrete fractional Laplace operator of arbitrary order
Tiffany Frugé Jones, Evdokiya Georgieva Kostadinova, Joshua Lee Padgett +1
Although fractional powers of non-negative operators have received much attention in recent years, there is still little known about their behavior if real-valued exponents are gre…