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Advances in Applied Mathematics and Mechanics
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  • A Fast Cascadic Multigrid Method for Direct Finite Difference Discretizations of 3D Biharmonic Equations on Rectangular Domains

    Kejia Pan, Pengde Wang, Jinxuan Wang, Xiaoxin Wu
    2025-10-14
    4525 278 Pages:170-188
  • Multiquadric Finite Difference (MQ-FD) Method and Its Application

    Yong Yuan Shan, Shu Chang, Ning Qin
    2018-08-10
    41430 4143 Pages:615-638
  • High-Resolution Upwind Strategy for the MLS Method with Applications to Convection Dominated Diffusion Problems

    Xueying Zhang, Nuoya Cui, Yangjiong Wu
    2025-07-19
    7507 501 Pages:1353-1369
  • Assessing the Performance of a Three Dimensional Hybrid Central-WENO Finite Difference Scheme with Computation of a Sonic Injector in Supersonic Cross Flow

    Wai-Sun Don, Antonio de Gregorio, Jean-Piero Suarez, Gustaaf B. Jacobs
    2021-07-01
    43243 4292 Pages:719-736
  • An Alternating Direction Method of Multipliers for Optimal Control Problems Constrained with Elliptic Equations

    Jinda Yang, Kai Zhang, Haiming Song, Ting Cheng
    2020-01-17
    48329 3301 Pages:336-361
  • A Genuinely 2D Well-Balanced Method for Elastic-Plastic Flow in Cylindrically Symmetric Coordinates

    Zhiqiang Zeng, Weixiong Yuan, Chengliang Feng, Tiegang Liu, Shengtao Zhang
    2024-12-31
    12884 1163 Pages:599-632
  • A New Fifth-Order Finite Volume Central WENO Scheme for Hyperbolic Conservation Laws on Staggered Meshes

    Shengzhu Cui, Zhanjing Tao, Jun Zhu
    2022-06-13
    43391 3533 Pages:1059-1086
  • Edge Detectors Based on Pauta Criterion with Application to Hybrid Compact-WENO Finite Difference Scheme

    Chunhua Zhang, Zhen Gao, Sa Ye, Peng Li
    2023-10-11
    71719 3037 Pages:1379-1406
  • Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation

    Dong Liu, Weihua Deng
    2025-05-12
    8299 493 Pages:1204-1238
  • 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
  • Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations

    Xiangyi Meng, Yan Xu, J. J. W. Van der Vegt
    2025-10-14
    4535 261 Pages:134-169
  • Numerical Investigation into the Distributor Design in Radial Flow Adsorber

    Yongliang Chen, Yao Li, Haiqing Si, Bing Wang, Haibo Wang, Yingying Shen, Ziqiang Qin
    2021-07-01
    51167 4449 Pages:1436-1460
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