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20242026
most citedFast Algorithm for Quasi-2D Coulomb Systems

13 citations · 21 across the 7 of their papers we have counts for

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math.NA2026★ 1 cited

An Adaptive Fast Algorithm for Periodic Coulomb Lattice Sums in Arbitrary Unit Cells

Xuanzhao Gao, Leslie Greengard, Shidong Jiang

We present a fast algorithm for evaluating conditionally convergent Coulomb lattice sums, governed by the Laplace equation with periodic boundary conditions on arbitrary unit cells…

math.NA2025

Accurate Error Estimates and Optimal Parameter Selection in Ewald Summation for Dielectrically Confined Coulomb Systems

Xuanzhao Gao, Qi Zhou, Zecheng Gan +1

Dielectrically confined Coulomb systems are widely employed in molecular dynamics (MD) simulations. Despite extensive efforts in developing efficient and accurate algorithms for th…

math.NA2024★ 1 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-…

math.NA2024★ 6 cited

Random Batch Ewald Method for Dielectrically Confined Coulomb Systems

Zecheng Gan, Xuanzhao Gao, Jiuyang Liang +1

Quasi two-dimensional Coulomb systems have drawn widespread interest. The reduced symmetry of these systems leads to complex collective behaviors, yet simultaneously poses signific…

math.NA2024★ 13 cited

Fast Algorithm for Quasi-2D Coulomb Systems

Zecheng Gan, Xuanzhao Gao, Jiuyang Liang +1

Quasi-2D Coulomb systems are of fundamental importance and have attracted much attention in many areas nowadays. Their reduced symmetry gives rise to interesting collective behavio…