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。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，在计算与应用数学权威期刊 《SIAM J. Numer. Anal.》、《SIAM Multiscale Model. Simul.》、《Commun. Math. Sci.》、《Adv. Comput. Math.》、《J. Sci. Comput.》 等发表SCI论文数十篇，其中ESI高被... More+
Paper Publications
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[1] Yingwen Guo , Kexin Li and Wenlin Qiu*. An unconditionally stable fully discrete method for Navier-Stokes-type viscoelastic fluid models with tempered kernel. Revision in Physics of Fluids,
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[2] Yingwen Guo , Mengmeng Liu , Wenlin Qiu* and Xiangcheng Zheng. Error estimates for a finite element approximation of a generalized viscoelastic flow model. Revision in Journal of Mathematical Fluid Mechanics,
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[3] Wenlin Qiu , Kexin Li , Yiqun Li and Hao Zhang. The optimal error analysis of nonuniform L1 method for the variable-exponent subdiffusion model. Revision in Journal of Scientific Computing,
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[4] Xiangcheng Zheng , Wenlin Qiu and Martin Stynes. Analysis and approximation of a weakly singular Volterra integral equation with nonlinear exponent. SIAM Journal on Numerical Analysis, 2026.
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[5] Mengmeng Liu , Jie Ma , Wenlin Qiu (共同一作) and Xiangcheng Zheng. Multiscale solution decomposition of nonlocal-in-time problems with application in numerical computation. SIAM Journal on Multiscale Modeling & Simulation, 2026.
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[6] Wenlin Qiu , Tao Guo , Yiqun Li , Xu Guo and Xiangcheng Zheng. A multiscale Abel kernel and application in viscoelastic problem. Communications in Mathematical Sciences, 24, 2047-2067, 2026.
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[7] Wenlin Qiu and Xiangcheng Zheng. Numerical analysis for subdiffusion problem with non-positive memory. Calcolo, 62, 39, 2025.
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[8] 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.
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[9] 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.
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[10] 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 & Simulation, 22, 1534-1557, 2024.
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[11] 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.
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[12] Wenlin Qiu , Yiqun Li and Xiangcheng Zheng. Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates. Calcolo, 61, 50, 2024.
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[13] 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.
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[14] 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.
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[15] 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.
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[16] 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.