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Advances in Applied Mathematics and Mechanics
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  • Nonconforming Finite Element Method for the Obstacle Problem of the $p$-Laplacian

    H. Y. Liu, D. J. Liu
    2025-10-29
    4504 196 Pages:434-449
  • Physics-Informed Deep Learning Method for Surrogate Modeling in Elastic Mechanics

    Dan Li, Xinming Lu, Hongjuan Wang, Guibin Liu, Xin Liu
    2025-05-12
    8360 472 Pages:1239-1258
  • Numerical Simulations of the Richtmyer–Meshkov Instability of Solid-Vacuum Interface

    Xiangyi Liu, Zhiye Zhao, Nansheng Liu, Xiyun Lu
    2023-06-21
    36490 2985 Pages:1166-1190
  • A Modified Kernel Method for Solving Cauchy Problem of Two-Dimensional Heat Conduction Equation

    Jingjun Zhao, Songshu Liu, Tao Liu
    2018-03-29
    42876 4666 Pages:31-42
  • Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay

    Shuiping Yang, Yubin Liu, Hongyu Liu, Chao Wang
    2021-11-18
    50221 4246 Pages:56-78
  • Legendre Neural Network for Solving Linear Variable Coefficients Delay Differential-Algebraic Equations with Weak Discontinuities

    Hongliang Liu, Jingwen Song, Huini Liu, Jie Xu, Lijuan Li
    2020-10-20
    54001 4823 Pages:101-118
  • A Buckley-Leverett Theory Based Lattice Boltzmann Method for Immiscible Two-Phase Flow with Viscous Coupling in Porous Media

    Yang Wang, Liang Shi, Yong Liu, Haihu Liu
    2024-02-29
    27612 2626 Pages:692-714
  • Numerical Study of Two-Winged Insect Hovering Flight

    Yanjun Liu, Nansheng Liu, Xiyun Lu
    2018-08-10
    98 47 Pages:481-509
  • Numerical Study of Two-Winged Insect Hovering Flight

    Yanjun Liu, Nansheng Liu, Xiyun Lu
    2018-08-10
    40354 4012 Pages:481-509
  • A Fast Implementation of the Linear Bond-Based Peridynamic Beam Model

    Hao Tian, Xianchu Yang, Chenguang Liu, Guilin Liu
    2024-01-04
    29424 2466 Pages:305-330
  • A CDM-Based Tensile Instability Analysis in DP1180 Steel Sheet

    Bingying Zhou, Xuexi Cui, Bobin Guan, Zhigang Liu, Fei Han, Min Wan, Xiangdong Wu
    2025-10-04
    4595 107 Pages:642-665
  • Convergence Analysis of a Weak Galerkin Finite Element Method on a Bakhvalov-Type Mesh for a Singularly Perturbed Convection-Diffusion Equation in 2D

    Shicheng Liu, Xiangyun Meng, Qilong Zhai
    2025-10-14
    4232 265 Pages:348-368
  • Meshfree Methods for the Helmholtz Equation with Variable Wave Speed

    Zhiyong Liu, Qiuyan Xu
    2025-10-14
    4196 251 Pages:296-321
  • The Generalized Riemann Problem for Two-Layer Shallow Water Equations with Two-Velocities

    Shuzhi Liu, Qinglong Zhang
    2025-10-14
    4382 261 Pages:242-266
  • Pointwise Goal-Oriented a Posteriori Error Estimates Using Dual Problems with Dirac Delta Source Terms for Linear Elliptic Problems

    Fei Li, Jingang Liu, Nianyu Yi, Liuqiang Zhong
    2025-10-14
    4486 264 Pages:222-241
  • An Inverse Problem with the Final Overdetermination for the Mean Field Games System

    Michael V. Klibanov, Jingzhi Li, Hongyu Liu
    2025-10-14
    4442 275 Pages:189-221
  • Adaptive Finite Element Method for Simulating Graphene Surface Plasmon Resonance

    Jingrun Chen, Xuhong Liu, Jiangqiong Mao, Wei Yang
    2025-10-14
    4592 296 Pages:11-36
  • Analyzing Bending Problems of Plates on Elastic Foundations via Improved Element-Free Galerkin Method

    Heng Cheng, Dongqiong Liang, Fengbin Liu
    2025-11-28
    109 6
  • Error Analyses of the Single Hidden Layer Neural Network Based on the Extreme Learning Machine for Solving Differential Equations

    Baixue Xing, Hongliang Liu, Haodong Li, Zhenxing Fu
    2025-11-22
    168 4
  • Optimizing Thermal Lattice Boltzmann Method on an MT-3000 Processor with Neo-Heterogeneous Strategies

    Qingyang Zhang, Lei Xu, Rongliang Chen, Hang Zou, Bo Yang, Jingzhi Li, Jie Liu
    2025-11-22
    171 2
  • The Second-Order Mass-Conservative Characteristic Finite Difference Method for Sobolev Equation with Convection Term

    Kai Fu, Zhaohui Liu, Jiansong Zhang
    2025-11-22
    175 5
  • A Ciarlet-Raviart Mixed Finite Element Method for Optimal Control Problems Governed by a Fourth Order Bi-Wave Equation

    Hongbo Guan, Wen Liu, Yong Yang
    2025-11-22
    158 3
  • Taylor Remainder-Based Discontinuity Detection Method with Application to Hybrid Compact-WENO Finite Difference Scheme for Hyperbolic Conservation Laws

    Xin-Ru Liu, Xiao Wen
    2025-11-19
    215 2
  • Numerical Simulation of Phase-Field Round and Square Crystal Models on Curved Dynamic Substrates via the Evolving Surface Finite Element Method

    Xufeng Xiao, Lulu Liu, Xiao Yu, Xinlong Feng
    2025-11-19
    199 4
  • High-Order Finite Difference Schemes Based on Symmetric Conservative Metric Method: Decomposition, Geometric Meaning and Connection with Finite Volume Schemes

    Xiaogang Deng, Huajun Zhu, Yaobing Min, Huayong Liu, Meiliang Mao, Guangxue Wang
    2020-01-17
    49137 3346 Pages:436-479
  • A Numerical Investigation of Richtmyer-Meshkov Instability in Spherical Geometry

    Jinxin Wu, Han Liu, Zuoli Xiao
    2019-04-16
    49472 3181 Pages:583-597
  • The Fundamental Secondary Instability of the Primary Mack Mode in Hypersonic Boundary Layers on Flat Plates

    Jianxin Liu, Cunbo Zhang
    2019-04-16
    50849 3267 Pages:559-570
1 - 27 of 112 items
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