36 citations · 79 across the 13 of their papers we have counts for
13 papers
A spectral-subspace-augmented POD-Galerkin method for parametrized PDEs with limited snapshot data
Tianhao Hu, Zecheng Gan
Parametrized partial differential equations (PDEs) arise in many-query simulation, optimization, control, and uncertainty quantification, where repeated full-order solves restrict…
LSR-Net: Long-Short-Range Operator Learning for Pattern Dynamics on Manifolds
Qian Serena Hou, Zecheng Gan
We propose the Long-Short-Range Neural Network (LSR-Net), an extensible operator-learning framework for predicting pattern dynamics on planar domains, spherical surfaces, and gener…
Designing Coulombic Contact Interactions between Polarizable Particles through Asymmetry
Yanyu Duan, Zecheng Gan
Polarizable particle systems, including charged colloids, polarizable ions, biomolecular assemblies, and soft nanomaterials, can exhibit contact electrostatic interactions that dep…
An O(N) quasi-Ewald splitting method for nanoconfined electrostatics
Zecheng Gan, Xuanzhao Gao, Yuqing Li
Simulating the dynamics of charged particles in quasi-two-dimensional (quasi-2D) nanoconfined systems presents a significant computational challenge due to the long-range nature of…
Reformulating Neural Operators in Dimensions for Embedding Evolution
Haoze Song, Zhihao Li, Xiaobo Zhang +3
Neural Operators (NOs) are powerful architectures for learning mappings between function spaces. While most advances focus on refining kernel parameterizations over the -dimensi…
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…
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…
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…
Computing hydrodynamic interactions in confined doubly-periodic geometries in linear time
Aref Hashemi, Raul P. Pelaez, Sachin Natesh +4
We develop a linearly-scaling variant of the Force Coupling Method [K. Yeo and M. R. Maxey, J. Fluid Mech. 649, 205-231 (2010)] for computing hydrodynamic interactions among partic…
Broken Symmetries in Quasi-2D Charged Systems via Negative Dielectric Confinement
Xuanzhao Gao, Zecheng Gan
We report spontaneous symmetry breaking (SSB) phenomena in symmetrically charged binary particle systems under planar nanoconfinement with negative dielectric constants.The SSB is…
Harmonic surface mapping algorithm for electrostatic potentials in an atomistic/continuum hybrid model for electrolyte solutions
Jing Fu, Zecheng Gan
Simulating charged many-body systems has been a computational demanding task due to the long-range nature of electrostatic interaction. For the multi-scale model of electrolytes wh…
Efficient Implementation of the Barnes-Hut Octree Algorithm for Monte Carlo Simulations of Charged Systems
Zecheng Gan, Zhenli Xu
Computer simulation with Monte Carlo is an important tool to investigate the function and equilibrium properties of many systems with biological and soft matter materials solvable…
Effects of image charges, interfacial charge discreteness, and surface roughness on the zeta potential of spherical electric double layers
Zecheng Gan, Xiangjun Xing, Zhenli Xu
We investigate the effects of image charges, interfacial charge discreteness, and surface roughness on spherical electric double layers in electrolyte solutions with divalent count…