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  • Explicit Form of Simplified Grad’s 13 Moments Distribution Function-Based Moment Gas Kinetic Solver with Unstructured Meshes for the Multiscale Rarefied Flow

    Wei Liu, Zijian Liu
    2026-01-14
    DOI:10.4208/aamm.OA-2025-0254
    1020 93 pp. 1576-1601
  • Nonconforming Finite Element Method for the Obstacle Problem of the $p$-Laplacian

    H. Y. Liu, D. J. Liu
    2026-04-01
    DOI:10.4208/aamm.OA-2023-0280
    5140 342 pp. 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
    DOI:10.4208/aamm.OA-2023-0253
    8825 602 pp. 1239-1258
  • Numerical Simulations of the Richtmyer–Meshkov Instability of Solid-Vacuum Interface

    Xiangyi Liu, Zhiye Zhao, Nansheng Liu, Xiyun Lu
    2023-06-21
    DOI:10.4208/aamm.OA-2022-0282
    36765 3077 pp. 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
    DOI:10.4208/aamm.12-m12113
    43104 4871 pp. 31-42
  • Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay

    Shuiping Yang, Yubin Liu, Hongyu Liu, Chao Wang
    2021-11-18
    DOI:10.4208/aamm.OA-2020-0387
    50510 4492 pp. 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
    DOI:10.4208/aamm.OA-2019-0281
    54295 5009 pp. 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
    DOI:10.4208/aamm.OA-2022-0275
    27957 2733 pp. 692-714
  • Numerical Study of Two-Winged Insect Hovering Flight

    Yanjun Liu, Nansheng Liu, Xiyun Lu
    2018-08-10
    DOI:10.4208/aamm.09-m0915
    40637 4123 pp. 481-509
  • Numerical Study of Two-Winged Insect Hovering Flight

    Yanjun Liu, Nansheng Liu, Xiyun Lu
    2018-08-10
    DOI:10.4208/aamm.09-m0915
    40592 4159 pp. 481-509
  • A Fast Implementation of the Linear Bond-Based Peridynamic Beam Model

    Hao Tian, Xianchu Yang, Chenguang Liu, Guilin Liu
    2024-01-04
    DOI:10.4208/aamm.OA-2023-0059
    29744 2534 pp. 305-330
  • 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
    DOI:10.4208/aamm.OA-2025-0085
    1609 111 pp. 1453-1502
  • 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
    DOI:10.4208/aamm.OA-2025-0046
    1602 108 pp. 1421-1452
  • 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
    DOI:10.4208/aamm.OA-2025-0017
    1661 152 pp. 1389-1420
  • Analyzing Bending Problems of Plates on Elastic Foundations via Improved Element-Free Galerkin Method

    Heng Cheng, Dongqiong Liang, Fengbin Liu
    2026-08-01
    DOI:10.4208/aamm.OA-2024-0238
    1056 125 pp. 1120-1141
  • The Second-Order Mass-Conservative Characteristic Finite Difference Method for Sobolev Equation with Convection Term

    Kai Fu, Zhaohui Liu, Jiansong Zhang
    2026-06-01
    DOI:10.4208/aamm.OA-2024-0154
    4275 103 pp. 947-960
  • 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
    2026-06-01
    DOI:10.4208/aamm.OA-2023-0229
    4320 114 pp. 1037-1057
  • Taylor Remainder-Based Discontinuity Detection Method with Application to Hybrid Compact-WENO Finite Difference Scheme for Hyperbolic Conservation Laws

    Xin-Ru Liu, Xiao Wen
    2026-06-01
    DOI:10.4208/aamm.OA-2024-0124
    4305 127 pp. 923-946
  • A CDM-Based Tensile Instability Analysis in DP1180 Steel Sheet

    Bingying Zhou, Xuexi Cui, Bobin Guan, Zhigang Liu, Fei Han, Min Wan, Xiangdong Wu
    2026-04-01
    DOI:10.4208/aamm.OA-2024-0020
    5295 219 pp. 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
    2026-02-01
    DOI:10.4208/aamm.OA-2024-0150
    5003 468 pp. 348-368
  • Meshfree Methods for the Helmholtz Equation with Variable Wave Speed

    Zhiyong Liu, Qiuyan Xu
    2026-02-01
    DOI:10.4208/aamm.OA-2024-0117
    4948 442 pp. 296-321
  • The Generalized Riemann Problem for Two-Layer Shallow Water Equations with Two-Velocities

    Shuzhi Liu, Qinglong Zhang
    2026-02-01
    DOI:10.4208/aamm.OA-2024-0001
    5203 478 pp. 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
    2026-02-01
    DOI:10.4208/aamm.OA-2023-0186
    5298 457 pp. 222-241
  • An Inverse Problem with the Final Overdetermination for the Mean Field Games System

    Michael V. Klibanov, Jingzhi Li, Hongyu Liu
    2026-02-01
    DOI:10.4208/aamm.OA-2024-0123
    5256 504 pp. 189-221
  • Adaptive Finite Element Method for Simulating Graphene Surface Plasmon Resonance

    Jingrun Chen, Xuhong Liu, Jiangqiong Mao, Wei Yang
    2026-02-01
    DOI:10.4208/aamm.OA-2024-0069
    5399 521 pp. 11-36
  • 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
    DOI:10.4208/aamm.OA-2017-0243
    49444 3429 pp. 436-479
  • A Numerical Investigation of Richtmyer-Meshkov Instability in Spherical Geometry

    Jinxin Wu, Han Liu, Zuoli Xiao
    2019-04-16
    DOI:10.4208/aamm.2018.s03
    49739 3255 pp. 583-597
1 - 27 of 113 items
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