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20242026
most citedAn Adaptive Fast Algorithm for Periodic Coulomb Lattice Sums in Arbitrary Unit Cells

1 citations · 1 across the 4 of their papers we have counts for

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10 papers

math.NA20261 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.NA2026

A fast sum-of-Gaussians algorithm for the high-dimensional fractional Fokker-Planck equation

Shidong Jiang, Dong Wang, Qi Zhou

We present a fast, high-order algorithm for the free-space fractional Fokker-Planck equation (FFPE) in arbitrary spatial dimension. Its fundamental solution, corresponding to a Dir…

physics.chem-ph2026

Prolate spheroidal wave functions enable fast and exponent-aware long-range machine learning interatomic potentials

Jiuyang Liang, Libin Lu, Yajie Ji +1

Long-range interactions such as electrostatics and dispersion remain a central bottleneck for machine learning interatomic potentials (MLIPs), especially in ionic, polar and interf…

math.NA2026

Accelerating Molecular Dynamics Simulations using Fast Ewald Summation with Prolates

Jiuyang Liang, Libin Lu, Alex Barnett +2

The evaluation of long-range Coulomb interactions is a significant cost in molecular dynamics (MD), even when using Particle Mesh Ewald (PME) or Particle-Particle-Particle-Mesh (PP…

physics.comp-ph2026

Interpolative separable density fitting on adaptive real space grids

Hai Zhu, Chia-Nan Yeh, Miguel A. Morales +3

We generalize the interpolative separable density fitting (ISDF) method, used for compressing the four-index electron repulsion integral (ERI) tensor, to incorporate adaptive real…

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…