10 citations · 43 across the 19 of their papers we have counts for
19 papers
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…
Beyond quantum mean-field approximation: Phase-space formulation of many-body time-dependent density functional theory and efficient spectral approximations
Jiong-Hang Liang, Yunfeng Xiong
As a universal quantum mechanical approach to the dynamical many-body problem, the time-dependent density functional theory (TDDFT) might be inadequate to describe crucial observab…
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…
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,…
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…
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…
A characteristic-spectral-mixed scheme for six-dimensional Wigner-Coulomb dynamics
Yunfeng Xiong, Yong Zhang, Sihong Shao
Numerical resolution for 6-D Wigner dynamics under the Coulomb potential faces with the combined challenges of high dimensionality, nonlocality, oscillation and singularity. In par…
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…
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…
On (non-)monotonicity and phase diagram of finitary random interlacement
Zhenhao Cai, Yunfeng Xiong, Yuan Zhang
In this paper, we study the evolution of a Finitary Random Interlacement (FRI) with respect to the expected length of each fiber. In contrast to the previously proved phase transit…
Overcoming the numerical sign problem in the Wigner dynamics via adaptive particle annihilation
Yunfeng Xiong, Sihong Shao
The infamous numerical sign problem poses a fundamental obstacle to particle-based stochastic Wigner simulations in high dimensional phase space. Although the existing particle ann…
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=…
Branching random walk solutions to the Wigner equation
Sihong Shao, Yunfeng Xiong
The stochastic solutions to the Wigner equation, which explain the nonlocal oscillatory integral operator with an anti-symmetric kernel as {the generator of two branches of j…
Numerical methods for the Wigner equation with unbounded potential
Zhenzhu Chen, Yunfeng Xiong, Sihong Shao
Unbounded potentials are always utilized to strictly confine quantum dynamics and generate bound or stationary states due to the existence of quantum tunneling. However, the existe…
The Wigner branching random walk: Efficient implementation and performance evaluation
Yunfeng Xiong, Sihong Shao
To implement the Wigner branching random walk, the particle carrying a signed weight, either or , is more friendly to data storage and arithmetic manipulations than that t…
A computable branching random walk for the many-body Wigner quantum dynamics
Sihong Shao, Yunfeng Xiong
A branching random walk algorithm for the many-body Wigner equation and its numerical applications for quantum dynamics in phase space are proposed and analyzed. After introducing…
An advective-spectral-mixed method for time-dependent many-body Wigner simulations
Yunfeng Xiong, Zhenzhu Chen, Sihong Shao
As a phase space language for quantum mechanics, the Wigner function approach bears a close analogy to classical mechanics and has been drawing growing attention, especially in sim…
A trigonometric integrator for the constrained ring polymer Hamiltonian dynamics
Yunfeng Xiong
A class of trigonometric integrator is proposed for the constrained ring polymer Hamiltonian dynamics, arising from the path integral molecular dynamics. The integrator is formulat…
An explicit multistep method for the Wigner problem
Yunfeng Xiong
An explicit multistep scheme is proposed for solving the initial-value Wigner problem. In this scheme, the integrated form of the Wigner equation is approximated by extrapolation o…