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  • A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies

    Haohan Huang, Tian Liang, Mingduo Yuan, Lin Fu
    2025-11-28
    935 45 Pages:387-416
  • An Efficient Time-Splitting Method to Simulate the Dynamics of Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates

    Xiaolan Chen, Yongjun Yuan, Yong Zhang
    2025-11-07
    2623 90 Pages:119-146
  • The Multidomain Hybrid Discontinuous Galerkin Method and Finite Difference Method for Solving Compressible Navier-Stokes Equations on Hybrid Meshes

    Weixiong Yuan, Tiegang Liu, Bin Zhang, Mengyu Li, Kun Wang
    2025-09-18
    4120 256 Pages:1417-1452
  • A Lightweight Data-Driven Model Enhanced Discontinuous Galerkin Method for Rapidly Simulating Transonic Airfoil Flowfields

    Lili Lv, Yiwei Feng, Weixiong Yuan, Liang Xu, Tiegang Liu
    2025-09-05
    3400 334 Pages:1053-1088
  • A Finite Volume Scheme for Three-Dimensional Diffusion Equations

    Xiang Lai, Zhiqiang Sheng & Guangwei Yuan
    2018-04-03
    39339 3066 Pages:650-672
  • A Constrained Finite Element Method Based on Domain Decomposition Satisfying the Discrete Maximum Principle for Diffusion Problems

    Xingding Chen & Guangwei Yuan
    2018-04-03
    39615 3106 Pages:297-320
  • A Stability Analysis of Hybrid Schemes to Cure Shock Instability

    Zhijun Shen, Wei Yan & Guangwei Yuan
    2014-05-05
    42675 3886 Pages:1320-1342
  • The Discrete Direct Deconvolution Model in the Large Eddy Simulation of Turbulence

    Ning Chang, Zelong Yuan, Yunpeng Wang, Jianchun Wang
    2025-08-23
    5932 406 Pages:791-849
  • A Physics-Wise Splitting Preconditioner with Selective Relaxation for the Multi-Group Radiation Diffusion Equations in Three Dimensions

    Xiaoqiang Yue, Junbai Hou, Long Yuan, Xiaowen Xu, Shi Shu
    2025-08-08
    4391 396 Pages:467-490
  • A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties

    Philipp Krah, Xi-Yuan Yin, Julius Bergmann, Jean-Christophe Nave, Kai Schneider
    2024-05-06
    34796 2610 Pages:905-937
  • A Unified Gas-Kinetic Particle Method for Frequency-Dependent Radiative Transfer Equations with Isotropic Scattering Process on Unstructured Mesh

    Yuan Hu, Chang Liu, Huayun Shen, Shiyang Zou, Baolin Tian
    2024-01-31
    28856 2454 Pages:181-211
  • A Rate of Convergence of Weak Adversarial Neural Networks for the Second Order Parabolic PDEs

    Yuling Jiao, Jerry Zhijian Yang, Cheng Yuan, Junyu Zhou
    2023-10-07
    35332 2836 Pages:813-836
  • A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids

    Yulong Du, Li Yuan & Yahui Wang
    2019-04-28
    46249 3265 Pages:768-784
  • 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
    39011 2900 Pages:1381-1408
  • The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle

    Ang Li, Hongtao Yang, Yonghai Li, Guangwei Yuan
    2023-01-24
    37675 3020 Pages:1437-1473
  • Extrapolation Cascadic Multigrid Method for Cell-Centered FV Discretization of Diffusion Equations with Strongly Discontinuous and Anisotropic Coefficients

    Kejia Pan, Xiaoxin Wu, Yunlong Yu, Zhiqiang Sheng, Guangwei Yuan
    2022-05-06
    44383 3124 Pages:1561-1584
  • Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems

    Boyang Yu, Hongtao Yang, Yonghai Li, Guangwei Yuan
    2022-05-06
    44963 3217 Pages:1489-1524
  • Consistent Forcing Scheme in the Simplified Lattice Boltzmann Method for Incompressible Flows

    Yuan Gao, Liuming Yang, Yang Yu, Guoxiang Hou, Zhongbao Hou
    2021-10-26
    47219 3289 Pages:1427-1452
  • Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

    Menghuan Liu, Shi Shu, Guangwei Yuan, Xiaoqiang Yue
    2021-08-10
    47490 3185 Pages:1185-1215
  • An Adaptive Finite Element PML Method for the Open Cavity Scattering Problems

    Yanli Chen, Peijun Li, Xiaokai Yuan
    2021-03-24
    45915 3248 Pages:1505-1540
  • A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations

    Jinjing Xu, Fei Zhao, Zhiqiang Sheng, Guangwei Yuan
    2021-01-13
    45679 3318 Pages:747-766
  • Extended Synchronous Variational Integrators for Wave Propagations on Non-Uniform Meshes

    Pei Liu, Jerry Zhijian Yang, Cheng Yuan
    2020-06-05
    47743 3359 Pages:691-722
  • A New Interpolation for Auxiliary Unknowns of the Monotone Finite Volume Scheme for 3D Diffusion Equations

    Fei Zhao, Xiang Lai, Guangwei Yuan, Zhiqiang Sheng
    2020-02-23
    47381 3203 Pages:1201-1233
  • Development of a Volume of Fluid Method for Computing Interfacial Incompressible Fluid Flows

    Zhenghua Gu, Yuan Yao, Ching-Hao Yu, Ruidong An
    2020-02-23
    49166 3341 Pages:1076-1114
  • The New Operator Marching Method on Calculating the Electromagnetic Scattered Fields from the Periodic Structures

    Yu Mao Wu, Ke Wei Chen, Jun Hu, Haijing Zhou, Yang Liu, Lijun Yuan
    2019-12-07
    46410 3019 Pages:569-588
  • Numerical Solution of an Inverse Obstacle Scattering Problem for Elastic Waves via the Helmholtz Decomposition

    Junhong Yue, Ming Li, Peijun Li & Xiaokai Yuan
    2019-04-28
    48505 3225 Pages:809-837
  • Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence

    Yuan Gao, Jian-Guo Liu
    2023-08-14
    32964 3064 Pages:132-172
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