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Advances in Applied Mathematics and Mechanics
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  • Multiquadric Finite Difference (MQ-FD) Method and Its Application

    Yong Yuan Shan, Shu Chang, Ning Qin
    2018-08-10
    41430 4143 Pages:615-638
  • A Compact Eulerian Interface–Capturing Algorithm for Compressible Multimaterial Elastic–Plastic Flows with Mie–Grüneisen Equation of State

    Xiang Li, Dong-Jun Ma, Nan-Sheng Liu, Pei Wang
    2022-12-13
    38406 2884 Pages:485-521
  • Mechanisms for Stabilizing Thermal Lattice Boltzmann Equation and Their Applications for Convection-Diffusion Problem on Nonuniform Meshes

    Jinhua Lu
    2025-09-29
    5015 251 Pages:1715-1741
  • A Weak Galerkin Mixed Finite Element Method for Acoustic Wave Equation

    Xi Zhang & Minfu Feng
    2022-04-11
    45286 3596 Pages:936-959
  • Explicit, Monotone and Structure-Preserving Finite Difference Methods for Fisher-Kolmogorov-Petrovsky-Piscounov Equation and Allen-Cahn Equation

    Yuxin Liang, Dingwen Deng
    2025-10-29
    4519 126 Pages:450-481
  • 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
  • A New High-Order Conservative Patched Grid Strategy Based on Collapsed Edge

    Yidao Dong, Xiaogang Deng, Yaming Chen, Xu Dan, Guangxue Wang
    2018-09-17
    44318 3017 Pages:611-633
  • 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
  • An Adaptive Semi-Lagrangian Level-Set Method for Convection-Diffusion Equations on Evolving Interfaces

    Weidong Shi, Jianjun Xu, Shi Shu
    2021-07-01
    42691 3824 Pages:1364-1382
  • A Spectral Time-Domain Method for Computational Electrodynamics

    James V. Lambers
    2021-07-01
    40617 4083 Pages:781-798
  • High-Order Local Absorbing Boundary Conditions for Fractional Evolution Equations on Unbounded Strips

    Haixia Dong, Miao Wang, Dongsheng Yin, Qian Zhang
    2020-04-10
    46510 3286 Pages:664-693
  • Numerical Simulations of Unsteady Flows from Rarefied Transition to Continuum Using Gas-Kinetic Unified Algorithm

    Junlin Wu, Zhihui Li, Aoping Peng, Xinyu Jiang
    2018-05-05
    41976 3046 Pages:569-596
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