activity
20142026
most citedNumerical methods for the Wigner equation with unbounded potential

10 citations · 43 across the 19 of their papers we have counts for

collaborators
Showing math.NAShow all

8 papers · 1 filter

math.NA2026

Nonlocal modeling of opinion alignment and environmental feedback: Spatial aggregation and non-consensus patterns

Rui Wang, Yunfeng Xiong, Zhengru Zhang +1

The formation of public opinion in modern information environments is shaped by the interplay between social conformity and information exposure. While social interactions promote…

math.NA2025

Efficient structure-preserving scheme for chemotaxis PDE system with singular sensitivity in crime and epidemic modeling

Rui Wang, Yunfeng Xiong, Zhengru Zhang

The chemotaxis PDE system with singular sensitivity was originally proposed by Short et al. (Math. Mod. Meth. Appl. Sci., 2008) as the continuum limit of a biased random walk model…

math.NA2023★ 1 cited

An efficient stochastic particle method for high-dimensional nonlinear PDEs

Zhengyang Lei, Sihong Shao, Yunfeng Xiong

Numerical resolution of high-dimensional nonlinear PDEs remains a huge challenge due to the curse of dimensionality. Starting from the weak formulation of the Lawson-Euler scheme,…

math.NA2023

Compressing the memory variables in constant-Q viscoelastic wave propagation via an improved sum-of-exponentials approximation

Xu Guo, Shidong Jiang, Yunfeng Xiong +1

Earth introduces strong attenuation and dispersion to propagating waves. The time-fractional wave equation with very small fractional exponent, based on Kjartansson's constant-Q th…

math.NA2023

Distributed local spline simulator for wave propagation

Xu Guo, Yaomeng Li, Yunfeng Xiong

Numerical simulation of wave propagation in elastic media faces the challenges arising from increasing demand of high resolution in modern 3-D imaging applications, which requires…

math.NA2022

Performance evaluations on the parallel CHAracteristic-Spectral-Mixed (CHASM) scheme

Yunfeng Xiong, Yong Zhang, Sihong Shao

Performance evaluations on the deterministic algorithms for 6-D problems are rarely found in literatures except some recent advances in the Vlasov and Boltzmann community [Dimarco…

math.NA2021

A short-memory operator splitting scheme for constant-Q viscoelastic wave equation

Yunfeng Xiong, Xu Guo

We propose a short-memory operator splitting scheme for solving the constant-Q wave equation, where the fractional stress-strain relation contains multiple Caputo fractional deriva…

math.NA2020★ 2 cited

SPADE: Sequential-clustering Particle Annihilation via Discrepancy Estimation

Sihong Shao, Yunfeng Xiong

For an empirical signed measure , particle annihilation (PA) removes particles from both $\{x_i\}_{i=…