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Advances in Applied Mathematics and Mechanics
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  • Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws

    Cai-Feng Wang, Wai-Sun Don, Jia-Le Li, Bao-Shan Wang
    2025-09-29
    5129 302 Pages:1591-1624
  • High Order Hybrid Weighted Compact Nonlinear Schemes for Hyperbolic Conservation Laws

    Peng Li, Xiqiang Zhao, Zhen Gao, Bao-Shan Wang
    2020-06-01
    50131 3372 Pages:972-991
  • Improving the Stability of the Multiple-Relaxation-Time Lattice Boltzmann Method by a Viscosity Counteracting Approach

    Chunze Zhang, Yongguang Cheng, Shan Huang, Jiayang Wu
    2018-05-05
    44026 4679 Pages:37-51
  • Balanced Truncation Based on Generalized Multiscale Finite Element Method for the Parameter-Dependent Elliptic Problem

    Shan Jiang, Anastasiya Protasov, Meiling Sun
    2021-07-01
    46152 3912 Pages:1527-1548
  • The Static Solution for the Layered Piezoelectric Bounded Domain with Side Face Load by the Modified SBFEM

    Shan Lu, Jun Liu, Gao Lin, Zihua Zhang, Pengchong Zhang
    2018-09-17
    44985 5135 Pages:209-241
  • Deep Neural Network for Oscillation Dynamics of Capillary Rise

    Fang Shan, Hao Yu, Zhenhua Chai, Yanfang Xu, Baochang Shi
    2024-12-31
    12820 1152 Pages:663-680
  • Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions

    Jia-Le Li, Wai-Sun Don, Cai-Feng Wang, Bao-Shan Wang
    2025-03-14
    11235 796 Pages:804-839
  • Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

    Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao
    2018-05-05
    41886 4574 Pages:353-385 Open-access
  • Multiscale Basis Functions for Singular Perturbation on Adaptively Graded Meshes

    Mei-Ling Sun, Shan Jiang
    2014-06-01
    42445 4117 Pages:604-614
  • Multiquadric Finite Difference (MQ-FD) Method and Its Application

    Yong Yuan Shan, Shu Chang, Ning Qin
    2018-08-10
    41430 4143 Pages:615-638
  • Multi-Modes Multiscale Approach of Heat Transfer Problems in Heterogeneous Solids with Uncertain Thermal Conductivity

    Shan Zhang, Zihao Yang, Xiaofei Guan
    2022-10-24
    43819 3859 Pages:69-93
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