教师简介

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

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

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 Liu and 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