error analysis 1fft acceleration 1finite difference method 1integral regularization 1preconditioned conjugate gradient 1tempered fractional laplacian 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.NA2026
A Weighted Integral-Regularized Finite Difference Scheme for the Tempered Fractional Laplacian
Mingyi Wang, Lisen Ding, Dongling Wang
The paper proposes a weighted integral‑regularized finite difference scheme for the tempered fractional Laplacian, providing high‑order error bounds and efficient solution via FFT‑…
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…