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Qiu Wenlin

邱文林，博士。2024年6月于湖南师范大学获得博士学位，导师为徐大教授，同年7月进入山东大学从事博士后研究，并入选山东大学特别资助类博士后，合作导师为郑祥成研究员。主要从事偏积分微分方程的理论与数值分析、变指标分数阶微分方程的数值分析及非线性双曲粘弹性问题的计算与分析等方面的研究，在计算与应用数学权威期刊《SIAM Journal on Multiscale Modeling and Simulation》、《Physics of Fluids》、《Advances in Computational Mathematics》、《Journal of Scient... More+

Paper Publications

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[1] Wenlin Qiu , Xiangcheng Zheng , Tao Guo and Xu Xiao. Finite difference method for nonlinear damped viscoelastic Euler-Bernoulli beam model. Numerical Methods for Partial Differential Equations, 41, e70051, 2025.
[2] Wenlin Qiu and Xiangcheng Zheng. Numerical analysis for subdiffusion problem with non-positive memory. Calcolo, 62, 39, 2025.
[3] Wenlin Qiu and Xiangcheng Zheng. Numerical analysis for high-order methods for variable-exponent fractional diffusion-wave equation. Journal of Scientific Computing, 105, 53, 2025.
[4] Tao Guo , Yiqun Li and Wenlin Qiu*. Compact difference method for Euler-Bernoulli beams and plates with nonlinear nonlocal damping. Applied Numerical Mathematics, 219, 1-18, 2025.
[5] Yingwen Guo and Wenlin Qiu*. First-order long-time convergence of fully discrete methods for viscoelastic flow with tempered power-law kernel. Physics of Fluids, 37, 1-14, 2025.
[6] Wenlin Qiu , M. A. Zaky , Xiangcheng Zheng and A. S. Hendy. A unified analysis framework for uniform stability of discretized Volterra integrodifferential equations. International Journal of Numerical Analysis and Modeling, 23, 103-121, 2025.
[7] Wenlin Qiu , Xiangcheng Zheng and Kassem Mustapha. Numerical approximations for a hyperbolic integrodifferential equation with a non-positive variable-sign kernel and nonlinear-nonlocal damping. Applied Numerical Mathematics, 213, 61-76, 2025.
[8] Wenlin Qiu , Tao Guo , Yiqun Li , Xu Guo and Xiangcheng Zheng. A multiscale Abel kernel and application in viscoelastic problem. arXiv:2411.16078, 2024.
[9] Xiangcheng Zheng , Yiqun Li and Wenlin Qiu. Local modification of subdiffusion by initial Fickian diffusion: Multiscale modeling, analysis, and computation. SIAM Journal on Multiscale Modeling and Simulation, 22, 1534-1557, 2024.
[10] Xiangyi Peng , Wenlin Qiu* , Mahmoud Zaky and Ahmed Hendy. Temporal second-order fast finite difference/compact difference schemes for time-fractional generalized Burgers' equations. Journal of Scientific Computing, 99, 52, 2024.
[11] Wenlin Qiu , Yiqun Li and Xiangcheng Zheng. Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates. Calcolo, 61, 50, 2024.
[12] Wenlin Qiu , Xiangcheng Zheng , Xu Xiao and Hong Wang. Numerical approximation and analysis for partial integro-differential equation of hyperbolic type. Journal of Integral Equations and Applications, 36, 471-492, 2024.
[13] Hao Chen , Mahmoud Zaky , Xiangcheng Zheng , Ahmed Hendy and Wenlin Qiu*. Spatial two-grid compact difference method for nonlinear Volterra integro-differential equation with Abel kernel. Numerical Algorithms, 98, 677-718, 2025.
[14] Wenlin Qiu. Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels. Advances in Computational Mathematics, 49, 43, 2023.
[15] Wenlin Qiu et al.. Numerical investigation of generalized tempered-type integrodifferential equations with respect to another function. Fractional Calculus and Applied Analysis, 26, 2580-2601, 2023.
[16] Wenlin Qiu , Graeme Fairweather , Xuehua Yang and Haixiang Zhang. ADI finite element Galerkin methods for two-dimensional tempered fractional integro-differential equations. Calcolo, 60, 41, 2023.
[17] Hao Chen , Wenlin Qiu* , Mahmoud Zaky and Ahmed Hendy. A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel. Calcolo, 60, 13, 2023.
[18] Yang Cao , Mahmoud Zaky , Ahmed Hendy and Wenlin Qiu*. Optimal error analysis of space–time second-order difference scheme for semi-linear non-local Sobolev-type equations with weakly singular kernel. Journal of Computational and Applied Mathematics, 431, 115287, 2023.
[19] Leijie Qiao , Wenlin Qiu* and Da Xu. Crank-Nicolson ADI finite difference/compact difference schemes for the 3D tempered integrodifferential equation associated with Brownian motion. Numerical Algorithms, 93, 1083-1104, 2023.
[20] Tao Guo , Mahmoud Zaky , Ahmed Hendy and Wenlin Qiu*. Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers' equations. Applied Numerical Mathematics, 185, 260-277, 2023.

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Paper Publications

[1] Wenlin Qiu , Xiangcheng Zheng , Tao Guo and Xu Xiao. Finite difference method for nonlinear damped viscoelastic Euler-Bernoulli beam model. Numerical Methods for Partial Differential Equations, 41, e70051, 2025.

[2] Wenlin Qiu and Xiangcheng Zheng. Numerical analysis for subdiffusion problem with non-positive memory. Calcolo, 62, 39, 2025.

[3] Wenlin Qiu and Xiangcheng Zheng. Numerical analysis for high-order methods for variable-exponent fractional diffusion-wave equation. Journal of Scientific Computing, 105, 53, 2025.

[4] Tao Guo , Yiqun Li and Wenlin Qiu*. Compact difference method for Euler-Bernoulli beams and plates with nonlinear nonlocal damping. Applied Numerical Mathematics, 219, 1-18, 2025.

[5] Yingwen Guo and Wenlin Qiu*. First-order long-time convergence of fully discrete methods for viscoelastic flow with tempered power-law kernel. Physics of Fluids, 37, 1-14, 2025.

[6] Wenlin Qiu , M. A. Zaky , Xiangcheng Zheng and A. S. Hendy. A unified analysis framework for uniform stability of discretized Volterra integrodifferential equations. International Journal of Numerical Analysis and Modeling, 23, 103-121, 2025.

[7] Wenlin Qiu , Xiangcheng Zheng and Kassem Mustapha. Numerical approximations for a hyperbolic integrodifferential equation with a non-positive variable-sign kernel and nonlinear-nonlocal damping. Applied Numerical Mathematics, 213, 61-76, 2025.

[8] Wenlin Qiu , Tao Guo , Yiqun Li , Xu Guo and Xiangcheng Zheng. A multiscale Abel kernel and application in viscoelastic problem. arXiv:2411.16078, 2024.

[9] Xiangcheng Zheng , Yiqun Li and Wenlin Qiu. Local modification of subdiffusion by initial Fickian diffusion: Multiscale modeling, analysis, and computation. SIAM Journal on Multiscale Modeling and Simulation, 22, 1534-1557, 2024.

[10] Xiangyi Peng , Wenlin Qiu* , Mahmoud Zaky and Ahmed Hendy. Temporal second-order fast finite difference/compact difference schemes for time-fractional generalized Burgers' equations. Journal of Scientific Computing, 99, 52, 2024.

[11] Wenlin Qiu , Yiqun Li and Xiangcheng Zheng. Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates. Calcolo, 61, 50, 2024.

[12] Wenlin Qiu , Xiangcheng Zheng , Xu Xiao and Hong Wang. Numerical approximation and analysis for partial integro-differential equation of hyperbolic type. Journal of Integral Equations and Applications, 36, 471-492, 2024.

[13] Hao Chen , Mahmoud Zaky , Xiangcheng Zheng , Ahmed Hendy and Wenlin Qiu*. Spatial two-grid compact difference method for nonlinear Volterra integro-differential equation with Abel kernel. Numerical Algorithms, 98, 677-718, 2025.

[14] Wenlin Qiu. Optimal error estimate of an accurate second-order scheme for Volterra integrodifferential equations with tempered multi-term kernels. Advances in Computational Mathematics, 49, 43, 2023.

[15] Wenlin Qiu et al.. Numerical investigation of generalized tempered-type integrodifferential equations with respect to another function. Fractional Calculus and Applied Analysis, 26, 2580-2601, 2023.

[16] Wenlin Qiu , Graeme Fairweather , Xuehua Yang and Haixiang Zhang. ADI finite element Galerkin methods for two-dimensional tempered fractional integro-differential equations. Calcolo, 60, 41, 2023.

[17] Hao Chen , Wenlin Qiu* , Mahmoud Zaky and Ahmed Hendy. A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel. Calcolo, 60, 13, 2023.

[18] Yang Cao , Mahmoud Zaky , Ahmed Hendy and Wenlin Qiu*. Optimal error analysis of space–time second-order difference scheme for semi-linear non-local Sobolev-type equations with weakly singular kernel. Journal of Computational and Applied Mathematics, 431, 115287, 2023.

[19] Leijie Qiao , Wenlin Qiu* and Da Xu. Crank-Nicolson ADI finite difference/compact difference schemes for the 3D tempered integrodifferential equation associated with Brownian motion. Numerical Algorithms, 93, 1083-1104, 2023.

[20] Tao Guo , Mahmoud Zaky , Ahmed Hendy and Wenlin Qiu*. Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers' equations. Applied Numerical Mathematics, 185, 260-277, 2023.