姓名:赵智慧 |

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职称:副教授 |
部门:信息与计算科学系 |
研究方向:微分方程数值解 |
邮箱:zhaozhihui2328@163.com |
个人简介
赵智慧,博士,内蒙古大学数学科学学院副教授,硕士生导师。2017年7月毕业于内蒙古大学并获得理学博士学位,并以高层次引进博士方式在内蒙古大学数学科学学院留校任教。主要从事微分方程数值解法研究(稳定化有限元方法、时空有限元方法,时空有限体积元方法)。 在《Applied Numerical Mathematics 》、《Applied Mathematics and Computation》、《Computer & Mathematics with Applications》、《Numerical Methods for Partial Differential Equations 》、《Journal of Mathematical Analysis and Appliations》等国际SCI期刊以及《计算数学》等国内核心期刊上发表学术论文15篇。近年来,主持国家自然科学基金2项、内蒙古自然科学基金基金2项、内蒙古自治区高等学校科学研究项目重点项目1项。
主讲课程
《高等数学》、《线性代数》、《概率论与数理统计》、《偏微分方程数值解》等。
代表性论著
1. Zhihui Zhao, Hong Li, Wei Gao, A space-time Petrov-Galerkin method for the two-dimensional regularized long-wave equation, Applied Numerical Mathematics, 2024, 198: 276-294. (SCI)
2. Zhihui Zhao, Hong Li, Numerical analysis of a space-time continuous Galerkin method for the nonlinear Sobolev equation, Journal of Mathematical Analysis and Applications, 2024, 531:127845. (SCI)
3. Zhihui Zhao, Hong Li, Numerical study of two-dimensional Burgers’ equation by using a continuous Galerkin method, Computers & Mathematics with Applications, 2023, 149: 38-48. (SCI)
4.Zhihui Zhao, Hong Li, The study of a continuous Galerkin method for Sobolev equation with space-time variable coefficients, Applied Mathematics and Computation, 2021, 401: 1-12.
5. Zhihui Zhao, Hong Li, Yang Liu , Analysis of a continuous Galerkin method with mesh modification for two-dimensional telegraph equation, Computers & Mathematices with Applications, 2020,79: 588-602.
6. Zhihui Zhao, Hong Li, Numericalanalysisof a continuous Galerkin method for damped sine-Gordon equation, Numerical Methods for Partial Differential Equations, 2020,36: 1369-1388.
7. Zhihui Zhao, Hong Li, ,A continuous Galerkin method for pseudo-hyperbolic equations with variable coefficients, Journal of Mathematical Analysis and Applications, 2019,473: 1053-1072.
8. Zhihui Zhao, Hong Li, Zhendong Luo, Analysis of a space-time continuous Galerkin method for convection-dominated Sobolev equations, Computers and Mathematics with Appliations, 2017,73(8): 1643-1656.
9. Zhihui Zhao, Hong Li, Zhendong Luo, A space-time continuous Galerkin method with mesh modification for viscoelastic wave equations, Numerical Methods for Partical Differential Equations, 2017, 33(4): 1183-1207.
10. Zhihui Zhao, Hong Li, Zhendong Luo, A new space-time continuous Galerkin method with mesh modification for Sobolev equations, Journal of Mathematical Analysis and Appliations, 2016, 440(1): 86-105.
11. 赵智慧, 李宏, 罗振东, Sobolev 方程的连续时空有限元方法,计算数学,2016, 38(4): 341-353.
12. 赵智慧, 李宏, 方志朝, 非定常Stokes方程的全离散稳定化有限元格式,计算数学,2014,36(1): 85-98.
科研项目
1.国家自然科学基金地区基金,2025.01-2028.12,主持;
2.内蒙古自然科学基金面上项目,2024.01-2026.12,主持;
3.国家自然科学基金青年基金,非定常不可压缩流问题的自适应稳定化时空有限元法研究,2021.01-2023.12,主持;
4.内蒙古自然科学基金博士基金,基于Petrov-Galerkin近似的新型连续时空有限元格式的构造和分析,2019.09-2021.12,主持;
5.内蒙古自治区高等学校科学研究项目重点项目,新型高精度混合连续时空有限元方法的理论分析及其数值模拟,2018.01-2020.12,主持。