Numerical simulation of interaction between Schrödinger field and Klein-Gordon field by multisymplectic method. - Linghua Kong; Ruxun Liu; Zhenli Xu (Appl. Math. Comput., 2006)

Semi-implicit operator splitting Padé method for higher-order nonlinear Schrödinger equations. - Zhenli Xu; Jingsong He; Houde Han (Appl. Math. Comput., 2006)

Spectral Collocation Technique for Absorbing Boundary Conditions with Increasingly High Order Approximation. - Zhenli Xu; Houde Han (International Conference on Computational Science (4), 2007)

Numerical solitons of generalized Korteweg-de Vries equations. - Houde Han; Zhenli Xu (Appl. Math. Comput., 2007)

Adaptive absorbing boundary conditions for Schrödinger-type equations: Application to nonlinear and multi-dimensional problems. - Zhenli Xu; Houde Han; Xiaonan Wu (J. Comput. Phys., 2007)

Exact solutions of a third grade fluid flow on a porous plate. - K. Fakhar; Zhenli Xu; Cheng Yi (Appl. Math. Comput., 2008)

A new FFT-based algorithm to compute Born radii in the generalized Born theory of biomolecule solvation. - Wei Cai; Zhenli Xu; Andrij Baumketner (J. Comput. Phys., 2008)

Image charge approximations of reaction fields in solvents with arbitrary ionic strength. - Zhenli Xu; Shaozhong Deng; Wei Cai (J. Comput. Phys., 2009)

Fast Analytical Methods for Macroscopic Electrostatic Models in Biomolecular Simulations. - Zhenli Xu; Wei Cai (SIAM Rev., 2011)

Image Approximations to Electrostatic Potentials in Layered Electrolytes/Dielectrics and an Ion-Channel Model. - Huimin Lin; Zhenli Xu; Huazhong Tang; Wei Cai (J. Sci. Comput., 2012)

Mellin Transform and Image Charge Method for Dielectric Sphere in an Electrolyte. - Zhenli Xu; Yihao Liang; Xiangjun Xing (SIAM J. Appl. Math., 2013)

Solving fluctuation-enhanced Poisson-Boltzmann equations. - Zhenli Xu; Anthony C. Maggs (J. Comput. Phys., 2014)

Comparison of efficient techniques for the simulation of dielectric objects in electrolytes. - Zecheng Gan; Huanxin Wu; Kipton Barros; Zhenli Xu; Erik Luijten (J. Comput. Phys., 2015)

A Hybrid Method for Systems of Closely Spaced Dielectric Spheres and Ions. - Zecheng Gan; Shidong Jiang; Erik Luijten; Zhenli Xu (SIAM J. Sci. Comput., 2016)

Asymptotic Analysis on Dielectric Boundary Effects of Modified Poisson-Nernst-Planck Equations. - Lijie Ji; Pei Liu; Zhenli Xu; Shenggao Zhou (SIAM J. Appl. Math., 2018)

Modified Poisson-Nernst-Planck Model with Accurate Coulomb Correlation in Variable Media. - Pei Liu; Xia Ji; Zhenli Xu (SIAM J. Appl. Math., 2018)

L1-ROC and R2-ROC: L1- and R2-based Reduced Over-Collocation methods for parametrized nonlinear partial differential equations. - Yanlai Chen; Sigal Gottlieb; Lijie Ji; Yvon Maday; Zhenli Xu (CoRR, 2019)

A kernel-independent sum-of-Gaussians method by de la Vallée-Poussin sums. - Jiuyang Liang; Zixuan Gao; Zhenli Xu (CoRR, 2020)

Kernel-Independent Sum-of-Exponentials with Application to Convolution Quadrature. - Zixuan Gao; Jiuyang Liang; Zhenli Xu (CoRR, 2020)

A Random-Batch Monte Carlo Method for Many-Body Systems with Singular Kernels. - Lei Li 006; Zhenli Xu; Yue Zhao (SIAM J. Sci. Comput., 2020)

Super-Scalable Molecular Dynamics Algorithm. - Jiuyang Liang; Pan Tan; Yue Zhao; Lei Li 006; Shi Jin 003; Liang Hong; Zhenli Xu (CoRR, 2021)

L1-Based Reduced Over Collocation and Hyper Reduction for Steady State and Time-Dependent Nonlinear Equations. - Yanlai Chen; Lijie Ji; Akil Narayan 001; Zhenli Xu (J. Sci. Comput., 2021)

Modified Poisson-Nernst-Planck Model with Coulomb and Hard-sphere Correlations. - Manman Ma; Zhenli Xu; Liwei Zhang (SIAM J. Appl. Math., 2021)

A Random Batch Ewald Method for Particle Systems with Coulomb Interactions. - Shi Jin 003; Lei Li 006; Zhenli Xu; Yue Zhao (SIAM J. Sci. Comput., 2021)

Structure-preserving numerical method for Ampere-Nernst-Planck model. - Zhonghua Qiao; Zhenli Xu; Qian Yin; Shenggao Zhou (CoRR, 2022)

An Asymptotic-Preserving and Energy-Conserving Particle-In-Cell Method for Vlasov-Maxwell Equations. - Lijie Ji; Zhiguo Yang; Zhuoning Li; Dong Wu; Shi Jin 003; Zhenli Xu (CoRR, 2022)

Asymptotic Derivation of Equivalent Circuit Model for the Stack-Electrode Supercapacitors. - Lijie Ji; Zhenli Xu; Shenggao Zhou (CoRR, 2022)

HSMA: An O(N) electrostatics package implemented in LAMMPS. - Jiuyang Liang; Jiaxing Yuan; Zhenli Xu (Comput. Phys. Commun., 2022)

Linear-scaling selected inversion based on hierarchical interpolative factorization for self Green's function for modified Poisson-Boltzmann equation in two dimensions. - Yihui Tu; Qiyuan Pang; Haizhao Yang; Zhenli Xu (J. Comput. Phys., 2022)

A Kernel-Independent Sum-of-Exponentials Method. - Zixuan Gao; Jiuyang Liang; Zhenli Xu (J. Sci. Comput., 2022)

Clustering Group-Sparse Mode Decomposition and Its Application in Rolling Bearing Fault Diagnosis. - Bin Pang 003; Bocheng Wang; Yuzhi Hu; Tianshi Cheng; Zhenli Xu (IEEE Trans. Instrum. Meas., 2022)

Error estimate of the u-series method for molecular dynamics simulations. - Jiuyang Liang; Zhenli Xu; Qi Zhou (CoRR, 2023)

MCMS-RBM: Multi-Component Multi-State Reduced Basis Method toward Efficient Transition Pathway Identification for Crystals and Quasicrystals. - Yajie Ji; Lijie Ji; Yanlai Chen; Zhenli Xu (CoRR, 2023)

Reduced projection method for quasiperiodic Schrödinger eigenvalue problems. - Zixuan Gao; Zhenli Xu; Zhiguo Yang (CoRR, 2023)

Local Structure-Preserving Relaxation Method for Charged Systems on Unstructured Meshes. - Zhonghua Qiao; Zhenli Xu; Qian Yin; Shenggao Zhou (CoRR, 2023)

Structure-preserving numerical method for Maxwell-Ampère Nernst-Planck model. - Zhonghua Qiao; Zhenli Xu; Qian Yin; Shenggao Zhou (J. Comput. Phys., 2023)

A Maxwell-Ampère Nernst-Planck Framework for Modeling Charge Dynamics. - Zhonghua Qiao; Zhenli Xu; Qian Yin; Shenggao Zhou (SIAM J. Appl. Math., 2023)

Random Batch Sum-of-Gaussians Method for Molecular Dynamics Simulations of Particle Systems. - Jiuyang Liang; Zhenli Xu; Qi Zhou (SIAM J. Sci. Comput., 2023)

Automated rail-water intermodal transport container terminal handling equipment cooperative scheduling based on bidirectional hybrid flow-shop scheduling problem. - Meng Yu 004; Xinyu Liu; Zhenli Xu; Lijun He 002; Wenfeng Li 001; Yong Zhou 008 (Comput. Ind. Eng., 2023)

An energy-conserving Fourier particle-in-cell method with asymptotic-preserving preconditioner for Vlasov-Ampère system with exact curl-free constraint. - Zhuoning Li; Zhenli Xu; Zhiguo Yang (J. Comput. Phys., 2023)

Time-frequency supervised contrastive learning via pseudo-labeling: An unsupervised domain adaptation network for rolling bearing fault diagnosis under time-varying speeds. - Bin Pang 003; Qiuhai Liu; Zhenduo Sun; Zhenli Xu; Ziyang Hao (Adv. Eng. Informatics, 2024)

Fault vibration model driven fault-aware domain generalization framework for bearing fault diagnosis. - Bin Pang 003; Qiuhai Liu; Zhenli Xu; Zhenduo Sun; Ziyang Hao; Ziqi Song (Adv. Eng. Informatics, 2024)

TGPT-PINN: Nonlinear model reduction with transformed GPT-PINNs. - Yanlai Chen; Yajie Ji; Akil Narayan 001; Zhenli Xu (CoRR, 2024)

A divergence-free projection method for quasiperiodic photonic crystals in three dimensions. - Zixuan Gao; Zhenli Xu; Zhiguo Yang (CoRR, 2024)

A fast spectral sum-of-Gaussians method for electrostatic summation in quasi-2D systems. - Xuanzhao Gao; Shidong Jiang; Jiuyang Liang; Zhenli Xu; Qi Zhou (CoRR, 2024)

MscaleFNO: Multi-scale Fourier Neural Operator Learning for Oscillatory Function Spaces. - Zhilin You; Zhenli Xu; Wei Cai (CoRR, 2024)

MCMS-RBM: Multicomponent Multistate Reduced Basis Method Toward Rapid Generation of Phase Diagrams for the Lifshitz-Petrich Model. - Yajie Ji; Lijie Ji; Yanlai Chen; Zhenli Xu (SIAM J. Sci. Comput., 2024)

Local Structure-Preserving Relaxation Method for Equilibrium of Charged Systems on Unstructured Meshes. - Zhonghua Qiao; Zhenli Xu; Qian Yin; Shenggao Zhou (SIAM J. Sci. Comput., 2024)

Random batch sum-of-Gaussians algorithm for molecular dynamics simulations of Yukawa systems in three dimensions. - Chen Chen; Jiuyang Liang; Zhenli Xu (J. Comput. Phys., 2025)

Fast algorithm for quasi-2D Coulomb systems. - Zecheng Gan; Xuanzhao Gao; Jiuyang Liang; Zhenli Xu (J. Comput. Phys., 2025)

Random Batch Ewald Method for Dielectrically Confined Coulomb Systems. - Zecheng Gan; Xuanzhao Gao; Jiuyang Liang; Zhenli Xu (SIAM J. Sci. Comput., 2025)

VGPT-PINN: Viscosity-enhanced Generative Pre-Trained Physics Informed Neural Networks for parameterized nonlinear conservation laws. - Yajie Ji; Yanlai Chen; Zhenli Xu (CoRR, 2025)

Reduced Projection Method for Photonic Moiré Lattices. - Zixuan Gao; Zhenli Xu; Zhiguo Yang (J. Sci. Comput., 2025)

Machine-Learning Interatomic Potentials for Long-Range Systems. - Yajie Ji; Jiuyang Liang; Zhenli Xu (CoRR, 2025)

Weighted balanced truncation method for approximating kernel functions by exponentials. - Yuanshen Lin; Zhenli Xu; Yusu Zhang; Qi Zhou (CoRR, 2025)