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  • Generalized Lagrangian Neural Networks

    Shanshan Xiao, Jiawei Zhang, Yifa Tang
    2025-11-07
    2615 132 Pages:59-77
  • First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws

    Hao-Chen Wang, Meilin Yu, Heng Xiao
    2025-11-07
    2687 152 Pages:1-28
  • Virtual Body-Fitted Grid-Based Immersed Boundary Velocity Correction Method for Simulation of Incompressible Flows with Moving Boundaries

    Yinjie Du, Liming Yang, Yang Xiao, Yuxin Song, Chang Shu
    2025-09-02
    375 83 Pages:643-674
  • A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows

    Lei Xu, Rongliang Chen, Xiao-Chuan Cai
    2025-09-02
    190 54 Pages:547-574
  • Electromagnetic Gyrokinetic Simulation of Tokamak Plasma with Semi-Lagrangian Scheme

    Pengfei Zhao, Xiaotao Xiao, Qilong Ren, Deng Zhou, Lei Ye
    2025-01-22
    190 116 Pages:171-192
  • Preconditioned Iterative Methods for Two-Dimensional Space-Fractional Diffusion Equations

    Xiao-Qing Jin, Fu-Rong Lin & Zhi Zhao
    2018-04-03
    38614 3095 Pages:469-488
  • A Preconditioned Recycling GMRES Solver for Stochastic Helmholtz Problems

    Chao Jin & Xiao-Chuan Cai
    2018-03-24
    37451 3877 Pages:342-353
  • High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws

    Shinichi Takagi, Hiro Wakimura, Lin Fu, Feng Xiao
    2023-11-08
    31304 2655 Pages:1043-1078
  • 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
  • Band Structure Calculations of Dispersive Photonic Crystals in 3D Using Holomorphic Operator Functions

    Wenqiang Xiao, Bo Gong, Junshan Lin, Jiguang Sun
    2023-03-13
    37563 3039 Pages:628-646
  • Frame Invariance and Scalability of Neural Operators for Partial Differential Equations

    Muhammad I. Zafar, Jiequn Han, Xu-Hui Zhou, Heng Xiao
    2022-08-11
    303702 3397 Pages:336-363
  • An Efficient Iterative Method for the Formulation of Flow Networks

    Wei Hu, Dong Wang, Xiao-Ping Wang
    2022-05-06
    49474 3343 Pages:1317-1340
  • Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation

    Xiao Li, Lili Ju, Xucheng Meng
    2019-08-27
    46531 3321 Pages:1510-1529
  • Ensemble Gradient for Learning Turbulence Models from Indirect Observations

    Carlos A. Michelén Ströfer, Xin-Lei Zhang, Heng Xiao
    2021-10-26
    80569 3686 Pages:1269-1289
  • Enforcing Imprecise Constraints on Generative Adversarial Networks for Emulating Physical Systems

    Yang Zeng, Jin-Long Wu, Heng Xiao
    2021-07-01
    49181 3239 Pages:635-665
  • Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability

    Zhen Gao, Qi Liu, Jan S. Hesthaven, Bao-Shan Wang, Wai Sun Don, Xiao Wen
    2021-04-30
    49858 4428 Pages:97-123
  • DAFI: An Open-Source Framework for Ensemble-Based Data Assimilation and Field Inversion

    Carlos A. Michelén Ströfer, Xin-Lei Zhang, Heng Xiao
    2021-03-24
    46782 3161 Pages:1583-1622
  • Multi-Resolution Method Based on Riemann Solvers for Detonation and Deflagration in High Dimension

    Wenhua Ma, Guoxi Ni, Min Xiao
    2021-03-24
    44453 3262 Pages:1385-1410
  • Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks

    Zhi-Qin John Xu, Yaoyu Zhang, Tao Luo, Yanyang Xiao, Zheng Ma
    2020-11-18
    85482 4069 Pages:1746-1767
  • A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids

    Zhen-Hua Jiang, Xi Deng, Feng Xiao, Chao Yan, Jian Yu
    2020-08-27
    49089 3004 Pages:1609-1638
  • Effective Two-Level Domain Decomposition Preconditioners for Elastic Crack Problems Modeled by Extended Finite Element Method

    Xingding Chen, Xiao-Chuan Cai
    2020-08-27
    49042 3059 Pages:1561-1584
  • Accelerated Molecular Statics Based on Atomic Inertia Effect

    Fei Shuang, Pan Xiao, Yilong Bai, Fujiu Ke
    2020-07-21
    47628 3188 Pages:1019-1037
  • An Efficient Method for Estimating the Electromagnetic Wave Propagation in Three Dimensional Optical Waveguide Structures

    Yu Mao Wu, Xin Lou, Ya-Qiu Jin, Zhaoguo Hou, Lizhi Xiao, Ning Zou, Hai Jing Zhou, Yang Liu
    2020-06-05
    48695 3237 Pages:661-678
  • A Weighted Runge-Kutta Discontinuous Galerkin Method for 3D Acoustic and Elastic Wave-Field Modeling

    Xijun He, Dinghui Yang, Xiao Ma
    2020-06-05
    49467 4458 Pages:372-400
  • The Effect of Strong Near Surface Scattering on Seismic Imaging: Investigation Based on Resolution Analysis

    Xiao-Bi Xie, Baoqing He, Hongxiao Ning, Yongqing He, Bo Chen
    2020-06-05
    51150 4964 Pages:167-186
  • An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling

    Yang Xu, Xiaofei Chen, Wei Zhang, Xiao Pan
    2022-03-30
    53936 3159 Pages:1083-1113
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