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20162022
most citedA stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations

59 citations · 68 across the 5 of their papers we have counts for

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math.NA2022

Fast method and convergence analysis of fractional magnetohydrodynamic coupled flow and heat transfer model for generalized second-grade fluid

Xiaoqing Chi, Hui Zhang, Xiaoyun Jiang

In this paper, we first establish a new fractional magnetohydrodynamic (MHD) coupled flow and heat transfer model for a generalized second-grade fluid. This coupled model consists…

math.NA2020★ 1 cited

Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations

Hui Zhang, Fanhai Zeng, Xiaoyun Jiang +1

In 1986, Dixon and McKee developed a discrete fractional Grönwall inequality [Z. Angew. Math. Mech., 66 (1986), pp. 535--544], which can be seen as a generalization of the classica…

math.NA2019★ 59 cited

A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations

Hui Zhang, Xiaoyun Jiang, Fanhai Zeng +1

The reaction-diffusion model can generate a wide variety of spatial patterns, which has been widely applied in chemistry, biology, and physics, even used to explain self-regulated…

math.NA2016★ 5 cited

A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods

Martin J. Gander, Hui Zhang

Solving time-harmonic wave propagation problems by iterative methods is a difficult task, and over the last two decades, an important research effort has gone into developing preco…