科研项目: |
1. 国家自然科学基金委员会,面上项目, 11771179,非线性滤波问题自适应和高阶PDF方法, 2018-01至2021-12,48万元, 参加,在研 2. 国家重点研发计划,“变革性技术关键科学问题”专项,2020YFA0714100,面向海量多源遥感数据处理的关键数学问题及其产业应用(子课题:遥感卫星影像超分重构中的关键数学问题研究),2020-12 至2025-11, 472万,(子课题经费114万),参加,在研 3. 国家自然科学基金委员会,面上项目, 11371171,随机偏微分方程快速高精度算法,2014-01至2017-12,62万元, 参加,已结题 4. 国家自然科学基金委员会,面上项目子项目, 11371171-1,随机偏微分方程弱有限元方法, 2014-01至2017-12,62万元,20万元, 主持,已结题 5. 国家自然科学基金委员会,面上项目, 11071102,随机复杂系统的多尺度数值方法,2013-01至2016-12,60万元, 参加,已结题 |
学术论文: |
1. Wang, Yiying; Zou, Yongkui; Chai, Shimin*; (1+s)-order convergence analysis of weak Galerkin finite element methods for second order elliptic equations. Adv. Appl. Math. Mech. 13 (2021), no. 3, 554–568. 2. Zhou, Chenguang; Zou, Yongkui; Chai, Shimin*; Zhang, Fengshan; Mixed Weak Galerkin Method for Heat Equation with Random Initial Condition, Math. Probl. Eng., 2020, Art. ID 8796345, 11 pp. 3. Zhu, Hongze; Zou, Yongkui; Chai, Shimin*; Zhou, Chenguang; A weak Galerkin method with RT elements for a stochastic parabolic differential equation, East Asian J. Appl. Math., 2019, 9(4): 818-830. 4. Chai, Shimin; Zou, Yongkui*; Zhou, Chenguang; Zhao, Wenju; Weak Galerkin finite element methods for a fourth order parabolic equation, Numer. Methods Partial Differential Equations, 2019 35(5), 1745–1755.
5. Chai, Shimin; Zou, Yongkui*; Zhao, Wenju A weak Galerkin method for C0 element for fourth order linear parabolic equation, Adv. Appl. Math. Mech., 2019, 11(2), 467–485. 6. Zhu, Hongze; Zou, Yongkui; Chai, Shimin*; Zhou, Chenguang Numerical approximation to a stochastic parabolic PDE with weak Galerkin method. Numer. Math. Theory Methods Appl. 11 (2018), no. 3, 604–617. 7. Chai, Shimin; Cao, Yanzhao*; Zou, Yongkui; Zhao, Wenju Conforming finite element methods for the stochastic Cahn-Hilliard-Cook equation, Appl. Numer. Math., 2018, 124, 44–56. 8. Zhou, Chenguang; Zou, Yongkui; Chai, Shimin*; Zhang, Qian; Zhu, Hongze Weak Galerkin mixed finite element method for heat equation. Appl. Numer. Math. 123 (2018), 180–199.
9. Zou, Yongkui; Zheng, Dan; Chai, Shimin* Numerical computation of connecting orbits in planar piecewise smooth dynamical system. J. Math. Anal. Appl. 448 (2017), no. 2, 815–840. 10. Zhang, Hongqin; Zou, Yongkui; Chai, Shimin*; Yue, Hua Weak Galerkin method with (r,r−1,r−1)-order finite elements for second order parabolic equations. Appl. Math. Comput. 275 (2016), 24–40. 11.Chai, Shimin; Zou, Yongkui The spectral method for the Cahn-Hilliard equation with concentration-dependent mobility. J. Appl. Math. 2012, Art. ID 808216, 35 pp. |