赵智慧

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姓名:赵智慧

说明: 说明: 方志朝 (白底)(大文件)

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。20177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)。 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,201436(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。

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