Jiang Xiaoyun
Professor
Jiang Xiaoyun, a second-class professor in the school of mathematics of Shandong University, a distinguished professor of Shandong University, the leader of the national "Ten Thousand Talents Program" (a famous teacher), a National Model of Women, a member of the national non-Newtonian Fluid Mechanics Committee and a leader of the national key discipline "Applied Mathematics" of Shandong University. She served as co-chair of the local organiza... More+
Scientific Research
Working-Papers
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Mainly engaged in fractional calculus theory and applications, non-Newtonian fluid mechanics, complex medium modeling, analytical and numerical calculation, parameter identification, modeling and calculation in anomalous transport process
Paper Publications
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贾俊青. Improved Uniform Error Bounds of Exponential Wave Integrator Method for Long-Time Dynamics of the Space Fractional Klein-Gordon Equation with Weak Nonlinearity. Journal of Scientific Computing, 97, 2024.
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迟晓庆. The fast method and convergence analysis of the fractional magnetohydrodynamic coupled flow and heat transfer model for the generalized second-grade fluid. Science China: Mathematics, 2024.
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张慧. Convergence analysis of a fast second-order time-stepping numerical method for two-dimensional nonlinear time-space fractional Schrodinger equation. Numerical Methods for Partial Differential Equations, 39, 657, 2024.
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刘艺. Numerical calculation and fast method for the magnetohydrodynamic flow and heat transfer of fractional Jeffrey fluid on a two-dimensional irregular convex domain. Computers & Mathematics with Applications, 151, 473-490, 2024.
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王淑鹏. Physics-informed neural network algorithm for solving forward and inverse problems of variable-order space-fractional advection–diffusion equations. Neurocomputing, 535, 64-82, 2024.
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迟晓庆. Finite difference Laguerre-Legendre spectral method for the two-dimensional generalized Oldroyd-B fluid on a semi-infinite domain. Applied Mathematics and Computation, 402, 2024.
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张慧. Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain. Journal of Computational and Applied Mathematics, 399, 2024.
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刘艺. Fast evaluation for magnetohydrodynamic flow and heat transfer of fractional Oldroyd-B fluids between parallel plates. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2024.
Published Books
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Research Projects
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复杂经济系统分析、控制博弈的科学计算, 2023-12-01-2028-11-30
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高维磁流体非局部模型快速计算及智能化算法, 2022-01-01-2024-12-31
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心血管系统流固耦合的多尺度流体动力学模型, 2021-12-01-2026-11-30
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脑组织微循环氧气传输与神经血管交互调节的多场耦合模型, 2021-12-01-2026-11-30
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复杂磁流体耦合分数阶模型高效算法及应用研究, 2021-08-18-2026-12-31
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复杂磁流体耦合分数阶模型高效算法及应用研究, 2021-10-12-2026-12-31
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Control and Countermeasure of nonlinear stochastic system, 2019-11-18-2024-12-31
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Study on mechanical behavior of abnormal phenomena in the process of pollutant migration in porous media, 2011-06-01-2013-12-31