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  • A Monotonic Algorithm for Eigenvalue Optimization in Shape Design Problems of Multi-Density Inhomogeneous Materials

    Zheng-fang Zhang, Ke-wei Liang & Xiao-liang Cheng
    2010-08-01
    40959 4099 Pages:565-584
  • Model the Solvent-Excluded Surface of 3D Protein Molecular Structures Using Geometric PDE-Based Level-Set Method

    Qing Pan & Xue-Cheng Tai
    2009-06-01
    37387 4060 Pages:777-792
  • A Third Order Conservative Lagrangian Type Scheme on Curvilinear Meshes for the Compressible Euler Equations

    Juan Cheng & Chi-Wang Shu
    2008-11-05
    39130 4526 Pages:1008-1024
  • Numerical Study of Stability and Accuracy of the Immersed Boundary Method Coupled to the Lattice Boltzmann BGK Model

    Yongguang Cheng, Luoding Zhu & Chunze Zhang
    2014-07-06
    41239 4144 Pages:136-168
  • Time Integration Schemes Based on Neural Networks for Solving Partial Differential Equations on Coarse Grids

    Xinxin Yan, Zhideng Zhou, Xiaohan Cheng, Xiaolei Yang
    2024-12-02
    201 54 Pages:1262-1306
  • High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

    Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu
    2024-07-29
    154 113 Pages:1-29
  • A New Coupled Complex Boundary Method for Bioluminescence Tomography

    Rongfang Gong, Xiaoliang Cheng & Weimin Han
    2018-04-03
    40572 5161 Pages:226-250
  • High Order Numerical Simulation of Detonation Wave Propagation Through Complex Obstacles with the Inverse Lax-Wendroff Treatment

    Cheng Wang, Jianxu Ding, Sirui Tan & Wenhu Han
    2020-07-30
    39750 3351 Pages:1264-1281
  • Three-Dimensional Simulation of Balloon Dynamics by the Immersed Boundary Method Coupled to the Multiple-Relaxation-Time Lattice Boltzmann Method

    Jiayang Wu, Yongguang Cheng, Chunze Zhang & Wei Diao
    2018-04-02
    41361 3177 Pages:1271-1300
  • A Fourth Order Numerical Method for the Primitive Equations Formulated in Mean Vorticity

    Jian-Guo Liu & Cheng Wang
    2008-04-01
    38742 4184 Pages:26-55
  • A Modified Characteristic-Wise WENO Reconstruction for Capturing the Contact Discontinuity in Multi-Component Flows

    Jianyu Qin, Yiqing Shen, Yi Cheng, Biao Zhou
    2025-08-23
    5875 385 Pages:766-790
  • Aerodynamic Performance and Data-Driven Optimization of Flow Past an Inclined Rounded Square Cylinder

    Wentian Song, Jingrun Chen, Wan Cheng, Zhouwang Yang, Xisheng Luo
    2025-08-08
    4376 396 Pages:491-520
  • A Comparative Study of Hydrodynamic Lattice Boltzmann Equation in Phase-Field-Based Multiphase Flow Models

    Qiang He, Yiqian Cheng, Fengming Hu, Weifeng Huang, Decai Li
    2024-05-06
    37349 2886 Pages:859-904
  • A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential

    Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, Xiaoming Wang
    2024-04-10
    24880 2105 Pages:633-661
  • A High Order Positivity-Preserving Discontinuous Galerkin Remapping Method Based on a Moving Mesh Solver for ALE Simulation of the Compressible Fluid Flow

    Xiaolu Gu, Juan Cheng, Chi-Wang Shu
    2023-12-11
    32949 2710 Pages:1177-1214
  • 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
  • SDF-Based ILW: Inverse Lax-Wendroff Method with the Signed Distance Function Representation of the Geometric Boundary

    Cheng Peng, Shihao Liu, Zhouwang Yang
    2023-03-13
    39230 3260 Pages:538-567
  • A One-Dimensional Second-Order Cell-Centered Lagrangian Scheme Satisfying the Entropy Condition

    Zhong-Ze Li, Li Liu, Jun-Bo Cheng
    2023-03-13
    38703 3101 Pages:452-476
  • High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG)

    Kun Wang, Jian Cheng & Tiegang Liu
    2019-01-10
    47308 3891 Pages:1413-1445
  • A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

    Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise
    2021-12-06
    49256 4172 Pages:60-93 Open-access
  • An Augmented Lagrangian Uzawa Iterative Method for Solving Double Saddle-Point Systems with Semidefinite (2,2) Block and Its Application to DLM/FD Method for Elliptic Interface Problems

    Cheng Wang, Pengtao Sun
    2021-04-30
    49148 4497 Pages:124-143
  • A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

    Yonghong Hao, Qiumei Huang, Cheng Wang
    2021-01-13
    47156 3442 Pages:905-929
  • Butterfly-Net: Optimal Function Representation Based on Convolutional Neural Networks

    Yingzhou Li, Xiuyuan Cheng, Jianfeng Lu
    2020-11-18
    63549 3432 Pages:1838-1885
  • A High Order Central DG Method of the Two-Layer Shallow Water Equations

    Yongping Cheng, Haiyun Dong, Maojun Li, Weizhi Xian
    2020-08-27
    48957 3169 Pages:1437-1463
  • A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

    Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang
    2020-07-21
    49155 3215 Pages:967-998
  • Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation

    Mengjiao Jiao, Yingda Cheng, Yong Liu, Mengping Zhang
    2020-07-21
    48213 3258 Pages:927-966
  • 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
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