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math.NA2026
A Weighted Integral-Regularized Finite Difference Scheme for the Tempered Fractional Laplacian
Mingyi Wang, Lisen Ding, Dongling Wang
The intrinsic singularity of the tempered fractional Laplacian (TFL) remains a major challenge in developing numerical methods that are simultaneously accurate, efficient, and easy…
math.NA2026
Higher-Order Finite Difference Methods for the Tempered Fractional Laplacian
Mingyi Wang, Dongling Wang
This paper presents a general framework of high-order finite difference (HFD) schemes for the tempered fractional Laplacian (TFL) based on new generating functions obtained from th…
math.NA2025
A note on spectral Monte-Carlo method for fractional Poisson equation on high-dimensional ball
Lisen Ding, Mingyi Wang, Dongling Wang
Recently, a class of efficient spectral Monte-Carlo methods was developed in \cite{Feng2025ExponentiallyAS} for solving fractional Poisson equations. These methods fully consider t…