邱文林，理学博士。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。协助博导共同指导硕士研究生4人，在 JSC、Calcolo、CNSNS、APNUM等高水平期刊发表论文，其中2人获国家奖学金；及共同指导博士研究生2人，其中1人获国家奖学金及省级研究生科研创新重点项目资助。 主要从事偏积分微分方程的理论与数值分析、变指标分数阶偏微分方程的数值分析与计算等方面的研究... More+
Paper Publications
-
[1] Wenlin Qiu , Tao Guo , Yiqun Li , Xu Guo and Xiangcheng Zheng. A multiscale Abel kernel and application in viscoelastic problem. Communications in Mathematical Sciences, 2026.
-
[2] Jinhong Jia , Chuanting Jiang , Yiqun Li , Mengmeng Liu and Wenlin Qiu. Variable-order fractional wave equation: Analysis, numerical approximation, and fast algorithm. Communications in Nonlinear Science and Numerical Simulation, 158, 109786, 2026.
-
[3] Xiangyi Peng , Lisen Ding and Wenlin Qiu*. An Efficient Space-Time Two-Grid Compact Difference Scheme for the Two-Dimensional Viscous Burgers' Equation. Applied Numerical Mathematics, 225, 87-110, 2026.
-
[4] Hao Zhang , Kexin Li* and Wenlin Qiu*. Two ADI compact difference methods for variable-exponent diffusion wave equations. Applied Numerical Mathematics, 222, 68-86, 2025.
-
[5] Wenlin Qiu and Xiangcheng Zheng. Numerical analysis for subdiffusion problem with non-positive memory. Calcolo, 62, 39, 2025.
-
[6] 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.
-
[7] 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.
-
[8] 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.
-
[9] 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.
-
[10] 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.
-
[11] 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.
-
[12] 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.
-
[13] Wenlin Qiu , Yiqun Li and Xiangcheng Zheng. Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates. Calcolo, 61, 50, 2024.
-
[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] 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.
-
[19] Tao Guo , Omid Nikan , Wenlin Qiu* and Da Xu. Localized meshless approaches based on theta method and BDF2 for nonlinear Sobolev equation arising from fluid dynamics. Communications in Nonlinear Science and Numerical Simulation, 117, 106989, 2023.
-
[20] Wenlin Qiu et al.. Second-order accurate numerical scheme with graded meshes for the nonlinear partial integrodifferential equation arising from viscoelasticity. Communications in Nonlinear Science and Numerical Simulation, 116, 106804, 2023.