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Advances in Applied Mathematics and Mechanics
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  • On a Large Time-Stepping Method for the Swift-Hohenberg Equation

    Zhengru Zhang, Yuanzi Ma
    2021-07-01
    44078 4146 Pages:992-1003
  • 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 Reduced Basis Method for the Nonlinear Poisson-Boltzmann Equation

    Lijie Ji, Yanlai Chen, Zhenli Xu
    2019-06-24
    46360 3206 Pages:1200-1218
  • Direct Numerical Simulation of Incompressible Flows in a Zero-Pressure Gradient Turbulent Boundary Layer

    Chuanta Lin, Zuojin Zhu
    2019-02-13
    39129 3729 Pages:503-517
  • 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
  • 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
  • A Matrix-Vector Operation-Based Numerical Solution Method for Linear $m$-th Order Ordinary Differential Equations: Application to Engineering Problems

    M. Aminbaghai, M. Dorn, J. Eberhardsteiner, B. Pichler
    2013-05-01
    41874 4684 Pages:269-308
  • Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation

    Xiaowei Chen, Xu Qian, Songhe Song
    2022-10-24
    45500 4076 Pages:159-181
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