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Advances in Applied Mathematics and Mechanics
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  • A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

    Jialing Wang, Tingchun Wang, Yushun Wang
    2023-02-24
    38118 3194 Pages:786-813
  • A Free Streaming Contact Preserving Scheme for the M1 Model

    C. Berthon, J. Dubois, B. Dubroca, T.-H. Nguyen-Bui, R. Turpault
    2018-11-01
    40260 3709 Pages:259-285
  • 1D Exact Elastic-Perfectly Plastic Solid Riemann Solver and Its Multi-Material Application

    Si Gao, Tiegang Liu
    2018-08-04
    41592 3043 Pages:621-650
  • Two New Energy-Preserving Algorithms for Generalized Fifth-Order KdV Equation

    Qi Hong, Yushun Wang, Qikui Du
    2018-05-05
    45435 3049 Pages:1206-1224
  • On the Computations of Gas-Solid Mixture Two-Phase Flow

    D. Zeidan, R. Touma
    2014-06-01
    45857 5179 Pages:49-74
  • A Scale-Invariant Fifth Order WCNS Scheme for Hyperbolic Conservation Laws

    Zixuan Zhang, Yidao Dong, Huaibao Zhang, Shichao Zheng, Xiaogang Deng
    2023-06-21
    37911 3019 Pages:1256-1289
  • A Novel Construction of Distribution Function Through Second-Order Polynomial Approximation in Terms of Particle Mass, Momentum and Energy

    Z. Y. Yuan, Z. Chen, C. Shu, Y. Y. Liu, Z. L. Zhang
    2024-02-29
    27368 2583 Pages:738-770
  • A New Fifth-Order Finite Difference WENO Scheme for Dam-Break Simulations

    Xiaogang Li, Guodong Li, Yongbin Ge
    2020-10-20
    50981 4699 Pages:58-82
  • A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

    Michael Yang, Z.J. Wang
    2018-08-10
    40764 4056 Pages:451-480
  • A New Energy-Preserving Scheme for the Fractional Klein-Gordon-Schrödinger Equations

    Yao Shi, Qiang Ma, Xiaohua Ding
    2019-06-24
    45276 3253 Pages:1219-1247
  • A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

    Michael Yang, Z.J. Wang
    2018-08-10
    96 66 Pages:451-480
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