Search Results

• A 2D Fourth-Order CESE Scheme for Solving the Ideal MHD Equations

  Yufen Zhou, Xueshang Feng, Fang Shen, Liping Yang, Man Zhang

  2025-08-08

  4333 423 Pages:348-374

• 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

  27857 1764 Pages:1387-1417

• Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations

  Yubin Lu, Chi-An Chen, Xiaofan Li, Chun Liu

  2024-06-14

  27753 1809 Pages:1352-1386

• A Noise and Vibration Tolerant ResNet for Field Reconstruction with Sparse Sensors

  Han Li, Jialiang Lu, Hongjun Ji, Lizhan Hong, Helin Gong

  2024-06-14

  28027 1750 Pages:1287-1308

• A Model-Data Asymptotic-Preserving Neural Network Method Based on Micro-Macro Decomposition for Gray Radiative Transfer Equations

  Hongyan Li, Song Jiang, Wenjun Sun, Liwei Xu, Guanyu Zhou

  2024-06-14

  36587 1889 Pages:1155-1193

• Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State

  Menghuo Chen, Yuanqing Wu, Xiaoyu Feng, Shuyu Sun

  2024-05-06

  28770 1940 Pages:973-1002

• A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows

  Jie Xu, Xiaotian Yang, Zhiguo Yang

  2024-03-13

  26317 2185 Pages:369-394

• A Threshold Dislocation Dynamics Method

  Xiaoxue Qin, Alfonso H.W. Ngan, Yang Xiang

  2024-03-13

  26077 2240 Pages:273-312

• 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

  28862 2368 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

  29264 2735 Pages:38-69

• Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models

  Simin Shekarpaz, Fanhai Zeng, George Karniadakis

  2024-01-31

  29624 2647 Pages:1-37

• A Multigrid Discretization of Discontinuous Galerkin Method for the Stokes Eigenvalue Problem

  Ling Ling Sun, Hai Bi, Yidu Yang

  2023-12-11

  31275 2479 Pages:1391-1419

• A Stochastic Gradient Descent Method for Computational Design of Random Rough Surfaces in Solar Cells

  Qiang Li, Gang Bao, Yanzhao Cao, Junshan Lin

  2023-12-11

  31100 2580 Pages:1361-1390

• Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

  Lei Ma, Rongxin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis

  2023-11-08

  31686 2665 Pages:1133-1176

• Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems

  Haoxiang Huang, Vigor Yang, Yingjie Liu

  2023-11-08

  76945 3630 Pages:907-933

• A Normalizing Field Flow Induced Two-Stage Stochastic Homogenization Method for Random Composite Materials

  Zihao Yang, Xintong Wang, Xiaofei Guan, Jizu Huang, Xixin Wu

  2023-10-07

  34591 2753 Pages:787-812

• The a Priori and a Posteriori Error Estimates for Modified Interior Transmission Eigenvalue Problem in Inverse Scattering

  Yanjun Li, Yidu Yang, Hai Bi

  2023-09-04

  34581 2682 Pages:503-529

• A Fast Cartesian Grid-Based Integral Equation Method for Unbounded Interface Problems with Non-Homogeneous Source Terms

  Jiahe Yang, Wenjun Ying

  2023-08-14

  33748 3368 Pages:208-234

• A Two-Dimensional Third-Order CESE Scheme for Ideal MHD Equations

  Yufen Zhou, Xueshang Feng

  2023-08-14

  35089 3569 Pages:94-115

• A Sample-Wise Data Driven Control Solver for the Stochastic Optimal Control Problem with Unknown Model Parameters

  Richard Archibald, Feng Bao, Jiongmin Yong

  2023-05-12

  34564 2765 Pages:1132-1163

• Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations

  Hojun You, Juhyun Kim, Chongam Kim

  2023-05-12

  36016 2932 Pages:992-1034

• Adaptive Multi-Resolution Method for 3D Reactive Flows with Level Set Front Capturing

  Wenhua Ma, Dongmi Luo, Wenjun Ying, Guoxi Ni, Min Xiao, Yibing Chen

  2023-04-28

  32480 2906 Pages:849-883

• Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems

  Wai Ming Chau, Shingyu Leung

  2023-04-28

  32287 2813 Pages:824-848

• A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32699 3018 Pages:764-794

• A Pseudopotential Lattice Boltzmann Analysis for Multicomponent Flow

  Yong Zhao, Gerald G. Pereira, Shibo Kuang, Zhenhua Chai, Baochang Shi

  2022-10-28

  45622 3174 Pages:1156-1178

• PFNN-2: A Domain Decomposed Penalty-Free Neural Network Method for Solving Partial Differential Equations

  Hailong Sheng, Chao Yang

  2022-10-28

  46910 3260 Pages:980-1006

• Efficient Flexible Boundary Conditions for Long Dislocations

  M. Hodapp

  2022-09-29

  41304 3175 Pages:671-714