From the 1 of 6 linked papers with an AI index.
6 papers
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‑…
Regularity and high-order time stepping for semilinear subdiffusion equations with singular initial data beyond the framework
Runjie Zhang, Dongling Wang
This paper aims to analyze a numerical scheme for semilinear subdiffusion problems with singular initial data beyond the framework. The main difficulty lies in the stron…
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…
Temporal Two-Grid Compact Difference Scheme for Benjamin-Bona-Mahony-Burgers Equation
Lisen Ding, Xiangyi Peng, Dongling Wang
This paper proposes a temporal two-grid compact difference (TTCD) scheme for solving the Benjamin-Bona-Mahony-Burgers (BBMB) equation with initial and periodic boundary conditions.…
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…
High-order discretization errors for the Caputo derivative in Hölder spaces
Xiangyi Peng, Lisen Ding, Dongling Wang
Building upon the recent work of Teso and Plociniczak (2025) regarding L1 discretization errors for the Caputo derivative in Hölder spaces, this study extends the analysis to high…