204 citations · 508 across the 19 of their papers we have counts for
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Finite Difference Methods for the generator of 1D asymmetric alpha-stable Lévy motions
Yanghong Huang, Xiao Wang
Several finite difference methods are proposed for the infinitesimal generator of 1D asymmetric -stable Lévy motions, based on the fact that the operator becomes a multiplier in…
Finite difference methods for fractional Laplacians
Yanghong Huang, Adam Oberman
The fractional Laplacian is the prototypical non-local elliptic operator. While analytical theory has been advanced and understood for some time, there remain many ope…
A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure
José A. Carrillo, Alina Chertock, Yanghong Huang
We propose a positivity preserving entropy decreasing finite volume scheme for nonlinear nonlocal equations with a gradient flow structure. These properties allow for accurate comp…
Numerical Methods for the Fractional Laplacian: a Finite Difference-quadrature Approach
Yanghong Huang, Adam Oberman
The fractional Laplacian is a non-local operator which depends on the parameter and recovers the usual Laplacian as . A numerical method for the fractional…