教师简介

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刘鸿雁，博士，讲师，硕士生导师

研究方向：积分/微分方程数值解

邮箱：Hongyan_Liu1528@163.com

主要经历

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2022.03-至今贵州大学数学与统计学院讲师

2014.09-2021.12电子科技大学数学科学学院理学博士

2018.11-2019.11新加坡南洋理工大学物理与数学科学学院博士（联合培养）

2010.09-2014.06绵阳师范学院数学与计算机科学学院理学学士

主要贡献

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科研项目

1.国家自然科学基金青年项目：非线性随机Volterra积分方程的高效数值算法研究，2024.01-2026.12，主持，(No. 12301498)

2.贵州省基础研究计划（自然科学类）项目：多维弱奇异积分方程的重心有理求积法研究，2023/01-2025/12，主持，(No. QKHJC-ZK[2023]YB035)

3.国家自然科学基金青年项目：双曲守恒律间断伽辽金方法的超收敛后处理研究，2019.01-2021.12，参与，(No.11801062)

学术论文

[1]Xiaoxia Wen, Marek T. Malinowski, Hu Li,Hongyan Liu, Yan Li. Numerical solution of fuzzy stochastic Volterra integral equations with constant delay. Fuzzy Sets and Systems, 2024, 493-494: 109098

[2]Hongyan Liu, Yanying Ma, Hu Li and Wei Zhang. Combination of discrete technique on graded meshes with barycentric rational interpolation for solving a class of time-dependent partial integro-differential equations with weakly singular kernels. Computers and Mathematics with Applications, 2023, 141: 159-169

[3] Ting Deng, Jin Huang,Hongyan Liuand Hu Li. Approximate solutions of fuzzy delay integral equations with weakly singular kernels by piecewise fuzzy polynomial interpolation. Fuzzy Sets and Systems, 2023, 470: 108652

[4]Hongyan Liu, Changtao Sheng, Li-Lian Wang, Huifang Yuan*. On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for fractional Allen-Cahn equation. Journal of Scientific Computing, 2021, 86: 19

[5]Hongyan Liu, Jin Huang*, Xiaoming He. Bivariate barycentric rational interpolation method for two dimensional fractional Volterra integral equations. Journal of Computational and Applied Mathematics,2021, 389: 113339

[6]Hongyan Liu, Jin Huang*, Wei Zhang. Numerical algorithm based on extended barycentric Lagrange interpolant for two dimensional integro-differential equations. Applied Mathematics and Computation, 2021, 396: 125931

[7]Hongyan Liu, Jin Huang*.Numerical solution of special 2D Fredholm-Volterra integralequations using barycentric Gegenbauer interpolationcollocation method. International Conferenceon Computer Information Science and Application Technology, Dali, 2020, 1634(1), 012099

[8]Hongyan Liu*, Jin Huang, Wei Zhang, Yanying Ma. Meshfree approach for solving multi-dimensional systems of Fredholm integral equations via barycentric Lagrange interpolation. Applied Mathematics and Computation, 2019, 346:295-304

[9]Hongyan Liu*, Jin Huang, Yubin Pan, Jipei Zhang. Barycentric interpolation collocation methods for solving linear and nonlinear high-dimensional Fredholm integral equations. Journal of Computational and Applied Mathematics,2018, 327:141-154