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20242026
most citedA fast spectral sum-of-Gaussians method for electrostatic summation in quasi-2D systems

1 citations · 1 across the 5 of their papers we have counts for

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5 papers

physics.comp-ph2026

An Monte Carlo method for periodic Coulomb systems

Xuanzhao Gao, Shidong Jiang, Jiuyang Liang +1

Efficient Monte Carlo (MC) sampling of many-body systems with long-range electrostatics is often limited by the cost of per-move energy-difference evaluation under periodic boundar…

math.NA2026

Fast Ewald Summation with Prolates for Charged Systems in the NPT Ensemble

Jiuyang Liang, Libin Lu, Shidong Jiang

We present an NPT extension of Ewald summation with prolates (ESP), a spectrally accurate and scalable particle-mesh method for molecular dynamics simulations of periodic, charged…

math.NA2025

Space-time adaptive methods for parabolic evolution equations

Jun Wang, Jie Su, Leslie Greengard +2

We present a family of integral equation-based solvers for the heat equation, reaction-diffusion systems, the unsteady Stokes equation and the incompressible Navier-Stokes equation…

math.NA2025

Fast summation of Stokes potentials using a new kernel-splitting in the DMK framework

Ludvig af Klinteberg, Leslie Greengard, Shidong Jiang +1

Classical Ewald methods for Coulomb and Stokes interactions rely on ``kernel-splitting," using decompositions based on Gaussians to divide the resulting potential into a near field…

math.NA20241 cited

A fast spectral sum-of-Gaussians method for electrostatic summation in quasi-2D systems

Xuanzhao Gao, Shidong Jiang, Jiuyang Liang +2

The quasi-2D electrostatic systems, characterized by periodicity in two dimensions with a free third dimension, have garnered significant interest in many fields. We apply the sum-…