Search Results

• A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions

  Yaqin Zhang, Ke Li, Zhipeng Chang, Xuejiao Liu, Yunqing Huang, Xueshuang Xiang

  2025-07-11

  5311 813 Pages:181-222

• Equilibrium Preserving Space in Discontinuous Galerkin Methods for Hyperbolic Balance Laws

  Jiahui Zhang, Yinhua Xia, Yan Xu

  2025-07-11

  5373 571 Pages:109-155

• JefiPIC: A 3-D Full Electromagnetic Particle-in-Cell Simulator Based on Jefimenko’s Equations on GPU

  Jian-Nan Chen, Jun-Jie Zhang, Xue-Ming Li, Hai-Liang Qiao, Yong-Tao Zhao

  2024-06-14

  28065 1803 Pages:1387-1417

• Efficient High-Order Backward Difference Formulae for Cahn-Hilliard Equation with the Gradient Flow in $H^{−α}$

  Zhongqin Xue, Guanghui Wen, Zhimin Zhang, Xuan Zhao

  2024-06-14

  28469 2009 Pages:1263-1286

• Analysis of a Mixed Finite Element Method for Stochastic Cahn-Hilliard Equation with Multiplicative Noise

  Yukun Li, Corey Prachniak, Yi Zhang

  2024-05-06

  28000 1996 Pages:1003-1028

• Postprocessing Techniques of High-Order Galerkin Approximations to Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

  Mingzhu Zhang, Lijun Yi

  2024-04-10

  24060 2104 Pages:816-858

• An Efficient High-Order Gas-Kinetic Scheme with Hybrid WENO-AO Method for the Euler and Navier-Stokes Solutions

  Junlei Mu, Congshan Zhuo, Qingdian Zhang, Sha Liu, Chengwen Zhong

  2024-04-10

  24751 2102 Pages:662-692

• A Positivity-Preserving and Well-Balanced High Order Compact Finite Difference Scheme for Shallow Water Equations

  Baifen Ren, Zhen Gao, Yaguang Gu, Shusen Xie, Xiangxiong Zhang

  2024-03-13

  25718 2161 Pages:524-552

• Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  2024-03-13

  25047 2131 Pages:498-523

• Energy-Preserving Hybrid Asymptotic Augmented Finite Volume Methods for Nonlinear Degenerate Wave Equations

  Wenju Liu, Yanjiao Zhou, Zhiyue Zhang

  2024-03-13

  26514 2252 Pages:313-368

• On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes

  Logan J. Cross, Xiangxiong Zhang

  2024-01-31

  28478 2689 Pages:160-180

• A Spectral Method for a Fokker-Planck Equation in Neuroscience with Applications in Neuron Networks with Learning Rules

  Pei Zhang, Yanli Wang, Zhennan Zhou

  2024-01-31

  29034 2453 Pages:70-106

• An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems

  Qiuqi Li, Chang Liu, Mengnan Li, Pingwen Zhang

  2024-01-31

  29473 2831 Pages:38-69

• A Variational Neural Network Approach for Glacier Modelling with Nonlinear Rheology

  Tiangang Cui, Zhongjian Wang, Zhiwen Zhang

  2023-11-08

  30910 2599 Pages:934-954

• Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms

  Mei Zhang, Haijian Yang, Chao Yang, Shuyu Sun

  2023-10-07

  34297 2793 Pages:837-868

• Analysis of Discontinuity Detectors and Hybrid WCNS Schemes Based on Waveform Recognition

  Hao Zhang, Yidao Dong, Shichao Zheng, Xiaogang Deng

  2023-09-04

  34235 2706 Pages:418-455

• Learning Invariant Representation of Multiscale Hyperelastic Constitutive Law from Sparse Experimental Data

  Rui He, Junzhi Cui, Zihao Yang, Jieqiong Zhang, Xiaofei Guan

  2023-09-04

  34204 2808 Pages:392-417

• A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes

  Yanlong Zhang

  2023-08-14

  34602 3340 Pages:116-131

• A Correction and Comments on “Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains CiCP, 28 (5): 1970–2001, 2020”

  Lulu Zhang, Wei Cai, Zhi-Qin John Xu

  2023-06-06

  40544 2858 Pages:1509-1513

• Superconvergence Analysis of $C^m$ Finite Element Methods for Fourth-Order Elliptic Equations I: One Dimensional Case

  Waixiang Cao, Lueling Jia, Zhimin Zhang

  2023-06-06

  37544 2941 Pages:1466-1508

• Solution Remapping Method with Lower Bound Preservation for Navier-Stokes Equations in Aerodynamic Shape Optimization

  Bin Zhang, Weixiong Yuan, Kun Wang, Jufang Wang, Tiegang Liu

  2023-06-06

  39160 2929 Pages:1381-1408

• Saturation-Value Blind Color Image Deblurring with Geometric Spatial-Feature Prior

  Hao Zhang, Yingying Fang, Hok Shing Wong, Lihua Li, Tieyong Zeng

  2023-04-28

  33419 2947 Pages:795-823

• Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition

  Mingze Qin, Ruishu Wang, Qilong Zhai, Ran Zhang

  2023-03-13

  39135 3362 Pages:568-595

• A Simulation Approach Including Underresolved Scales for Two-Component Fluid Flows in Multiscale Porous Structures

  Hiroshi Otomo, Rafael Salazar-Tio, Jingjing Yang, Hongli Fan, Andrew Fager, Bernd Crouse, Raoyang Zhang, Hudong Chen

  2023-02-20

  44443 3823 Pages:189-213

• High Order Conservative Finite Difference/Fourier Spectral Methods for Inviscid Surface Quasi-Geostrophic Flows

  Nan Zhang, Zhiping Mao, Tao Xiong

  2023-01-24

  39039 3146 Pages:1474-1509

• A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows

  Fan Zhang, Tiegang Liu

  2022-09-29

  41060 3179 Pages:850-877

• Transition Pathways in Cylinder-Gyroid Interface

  Xiaomei Yao, Jie Xu, Lei Zhang

  2022-09-29

  41984 3332 Pages:810-828