姓名 | 王中庆 |
职称 | 教授、博导 |
主要研究领域 | 偏微分方程数值解 |
电子邮箱 | zqwang@usst.edu.cn |
办公室 | 卓越楼801 |
所在部门 | 理学院数学系 |
教育背景与工作经历 |
教育背景 博士:上海大学,计算数学,1999.3-2002.3,导师: 硕士:上海大学,计算数学,1997.9-1999.2,导师:马和平教授; 本科:北京大学,计算数学及应用软件,1987.9-1991.7。 主要工作经历 上海理工大学,理学院,2014年12月-至今; 上海师范大学,数理学院,2003年10月-2014年12月; 北京应用物理与计算数学研究所,计算物理实验室,2002年4月-2003年9月; 上海高校计算科学E-研究院,2002年1月-2012年12月; 美国普渡大学,访问学者,2010年; 新加坡南洋理工大学,访问学者,2008年。 |
科研项目及成果 |
基金项目(20余项) 1. 国家自然科学基金面上项目:复杂几何区域问题的谱方法及其应用(2025.1–2028.12,主持); 2. 国家自然科学基金面上项目:高效有理谱方法和多区间谱配置方法研究(2021.1–2024.12,主持); 3. 国家自然科学基金面上项目:微分和积分方程的谱方法与谱配置方法(2016.1–2019.12,主持); 4. 国家自然科学基金面上项目:若干数学物理问题的谱方法和配置方法研究(2012.1–2015.12,主持); 5. 国家自然科学基金面上项目:外部问题的高精度算法及其应用(2008.1–2010.12,主持); 6. 国家重点基础研究发展计划项目(973):高性能科学计算研究(2007.12–2010.11,学术骨干); 7. 高等学校博士学科点专项科研基金(博导类):非线性微分和积分方程的谱配置方法(2014.1-2016.12,主持); 8. 上海市教委曙光计划项目:Neumann边值问题和外部问题的谱方法以及时间方向的配置法(2009.1–2011.12,主持); 9. 上海市教委科研创新重点项目:数学物理问题的高精度数值方法研究(2012.1–2014.12,主持); 10. 上海市自然科学基金面上项目:偏微分/积分方程的高效谱方法研究(2022.4–2025.3,主持)。 学术论文(SCI论文100余篇) 1. Shen Jie and Wang Zhongqing, Error analysis of the Strang time-splitting Laguerre-Hermite/Hermite collocation methods for the Gross-Pitaevskii equation, Foundations of Computational Mathematics, 13(2013), 99-137. 2. Guo Benyu, Wang Lilian and Wang Zhongqing, Generalized Laguerre interpolation and pseudospectral method for unbounded domains, SIAM Journal on Numerical Analysis, 43(2006), 2567-2589. 3. Xiang Xinmin and Wang Zhongqing, Generalized Hermite spectral method and its applications to problems in unbounded domains, SIAM Journal on Numerical Analysis, 48(2010), 1231-1253. 4. Sheng Changtao, Wang Zhongqing and Guo Benyu, A multistep Legendre-Gauss spectral collocation method for nonlinear Volterra integral equations, SIAM Journal on Numerical Analysis, 52(2014), 1953-1980. 5. Guo Benyu, Wang Zhongqing, Tian Hongjiong and Wang Lilian, Integration processes of ordinary differential equations based on Laguerre-Radau interpolations, Mathematics of Computation, 77(2008), 181-199. 6. Wang Zhongqing and Guo Benyu, Jacobi rational approximation and spectral method for differential equations of degenerate type, Mathematics of Computation, 77(2008), 883-907. 7. Wang Zhongqing and Sheng Changtao, An hp-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays, Mathematics of Computation, 85(2016), 635-666. 8. Wang Zhongqing, Guo Yuling and Yi Lijun, An hp-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels, Mathematics of Computation, 86(2017), 2285-2324. 9. Wang Zhongqing and Xiang Xinmin, Generalized Laguerre approximations and spectral method for the Camassa-Holm equation, IMA Journal of Numerical Analysis, 35(2015), 1456-1482. 10. Yao Guoqing, Wang Zicheng and Wang Zhongqing, A conforming multi-domain Legendre spectral method for solving diffusive-viscous wave equations in the exterior domain with separated star-shaped obstacles, IMA Journal of Numerical Analysis, DOI: 10.1093/imanum/drae085. 11. Guo Benyu, Shen Jie and Wang Zhongqing, Chebyshev rational spectral and pseudospectral methods on a semi-infinite interval, International Journal for Numerical Methods in Engineering, 53(2002), 65-84. 12. Guo Benyu and Wang Zhongqing, Numerical integration based on Laguerre-Gauss interpolation, Computer Methods in Applied Mechanics and Engineering, 196(2007), 3726–3741. 13. Li Zhaoxiang and Wang Zhongqing, Pseudospectral methods for computing the multiple solutions of the Lane-Emden equation, Journal of Computational Physics, 255(2013), 407-421. 14. Guo Benyu, Shen Jie and Wang Zhongqing, A rational approximation and its applications to differential equations on the half line, Journal of Scientific Computing, 15(2000), 117-147. 15. Zhang Rong, Wang Zhongqing and Guo Benyu, Mixed Fourier-Laguerre spectral and pseudospectral methods for exterior problems using generalized Laguerre functions, Journal of Scientific Computing, 36(2008), 263-283. 16. Wang Zhongqing and Wang Lilian, A collocation method with exact imposition of mixed boundary conditions, Journal of Scientific Computing, 42(2010), 291-317. 17. Wang Zhongqing and Guo Benyu, Legendre-Gauss-Radau collocation method for solving initial value problems of first order ordinary differential equations, Journal of Scientific Computing, 52(2012), 226-255. 18. Xiang Xinmin and Wang Zhongqing, Generalized Hermite approximations and spectral method for partial differential equations in multiple dimensions, Journal of Scientific Computing, 57 (2013), 229-253. 19. Zhang Chao, Gu Dongqin, Wang Zhongqing and Li Huiyuan, Efficient space-time spectral methods for second-order problems on unbounded domains, Journal of Scientific Computing, 72(2017), 679-699. 20. Wang Chuanli, Wang Zhongqing and Jia Hong-li, An hp-version spectral collocation method for nonlinear Volterra integro-differential equation with weakly singular kernels, Journal of Scientific Computing, 72(2017), 647-678. 21. Wang Chuanli, Wang Zhongqing and Wang Lilian, A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative, Journal of Scientific Computing, 76(2018), 166-188. 22. Wang Zhongqing, Zhou Min and Guo Yuling, An hp-version Jacobi spectral collocation method for the third-kind VIEs, Journal of Scientific Computing, 87 (2021), Paper No. 19, 15 pp. 23. Gu Dongqin and Wang Zhongqing, Orthogonal Jacobi rational functions and spectral methods on the half line, Journal of Scientific Computing, 88 (2021), Paper No. 17, 27 pp. 24. Guo Yuling and Wang Zhongqing, A two-grid spectral deferred correction method for the multi-order fractional differential equations, Journal of Scientific Computing, 92 (2022), Paper No. 78, 18 pp. 25. Wang Zhongqing, Wen Xian and Yao Guoqing, An efficient spectral-Galerkin method for elliptic equations in 2D complex geometries, Journal of Scientific Computing, 95 (2023), Paper No. 89. |
主讲课程 |
线性代数、数值逼近、数值分析、数学物理方程、微分方程数值解、高等数学、有限元方法、谱方法等。 |
获奖及荣誉 |
上海市自然科学二等奖(2023); 上海市曙光学者(2008); 上海市优秀博士学位论文(2004); 上海市优秀硕士学位论文指导导师(2015)。 |
学术活动与社会服务 |
中国工业与应用数学学会谱方法及其应用专业委员会副主任; 全国谱方法系列会议学术委员会委员; 科技部科技创新2030-重大项目会评专家; 上海市曙光计划项目会评专家; 科学计算上海高校重点实验室副主任; 上海高校计算科学E-研究院特聘研究员。 |