From the 1 of 5 linked papers with an AI index.
5 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‑…
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.…
An Efficient Space-Time Two-Grid Compact Difference Scheme for the Two-Dimensional Viscous Burgers' Equation
Xiangyi Peng, Lisen Ding, Wenlin Qiu
This work proposes an efficient space-time two-grid compact difference (ST-TGCD) scheme for solving the two-dimensional (2D) viscous Burgers' equation subject to initial and period…
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…