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within Shuying Zhai Remove this filter Computational Mathematics and Numerical Analysis Remove this filter Mathematical and Computational Engineering Remove this filter Theoretical, Mathematical and Computational Physics Remove this filter

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  1. No Access

    Article

    A Family of Fourth-Order and Sixth-Order Compact Difference Schemes for the Three-Dimensional Poisson Equation

    In this paper a family of fourth-order and sixth-order compact difference schemes for the three dimensional (3D) linear Poisson equation are derived in detail. By using finite volume (FV) method for derivation...

    Shuying Zhai, **nlong Feng, Yinnian He in Journal of Scientific Computing (2013)

  2. No Access

    Article

    Error Analysis and Numerical Simulations of Strang Splitting Method for Space Fractional Nonlinear Schrödinger Equation

    In this paper, we study a fast explicit operator splitting method for space fractional nonlinear Schrödinger equation in one (1D), two (2D) and three dimensions (3D) with periodic boundary conditions. The equa...

    Shuying Zhai, Dongling Wang, Zhifeng Weng, Xuan Zhao in Journal of Scientific Computing (2019)

  3. No Access

    Article

    Stability and Error Estimate of the Operator Splitting Method for the Phase Field Crystal Equation

    In this paper, we propose a second-order fast explicit operator splitting method for the phase field crystal equation. The basic idea lied in our method is to split the original problem into linear and nonline...

    Shuying Zhai, Zhifeng Weng, **nlong Feng, Yinnian He in Journal of Scientific Computing (2021)