盛长滔

盛长滔 (Changtao Sheng)

Emailctsheng@sufe.edu.cn 

【教育工作经历】

2021/04-至今 上海财经大学数学学院, 数学学院, 助理研究员

2018/12-2021/01  新加坡南洋理工大学(NTU), 数学系, 博士后研究员

2014/09-2018/07  厦门大学, 计算数学博士

2016/09-2018/01: 美国普渡大学(Purdue University), 数学系,  联合培养博士

【学术交流】

2021/03: 北京计算科学研究中心访问学者

2018/10-2018/11: 北京计算科学研究中心访问学者

2018/08-2018/09: 南方科技大学数学系,  访问学者

【科研项目与获奖】

2021.10-2023.09,上海市科学技术委员会,浦江人才计划,主持

2019.01-2022.12,国家自然科学基金委员会,面上项目,参与

2021年度郭本瑜青年学者优秀论文一等奖

【代表性科研成果】

本人研究方向为偏微分方程数值解法,主要研究兴趣: 谱方法/谱元法以其应用、非局部问题的高精度数值方法以及金融中数学模型的数值方法。目前为止,在国际权威SCI数学杂志《SIAM J. Numer. Anal.》、《Math. Comp.》、《ESAIM M2AN》、《J. Sci. Comput.》及国内权威期刊《中国科学:数学》等发表论文10余篇,代表性成果如下:

[1]. Changtao Sheng, Suna Ma, Huiyuan Li, Li-LianWang and Lueling Jia. Nontensorial Generalised Hermite Spectral Methods for PDEs with fractional Laplacian and Schrödinger operators. ESAIM: Mathematical Modelling and Numerical Analysis , Vol. 55 (5), 2141-2168, 2021.

[2]. Changtao Sheng, Duo Cao and Jie Shen. Efficient spectral methods for PDEs with spectral fractional Laplacian. Journal of Scientific Computing, Vol. 88 (1), 2021.

[3]. Hongyan Liu, Changtao Sheng, Li-Lian Wang and Huifang Yuan. On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for fractional Allen-Cahn equations. Journal on Scientific Computing, Vol. 86 (19), 2021.

[4]. Hongbin Chen, Changtao Sheng and Li-Lian Wang. On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes. Applied Mathematics Letters, Vol. 113, 106864, 2021.

[5]. Changtao Sheng, Jie Shen, Tao Tang, Li-Lian Wang and Huifang Yuan. Fast Fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs involving integral fractional Laplacian in unbounded domains. SIAM Journal on Numerical Analysis, Vol. 58 (5), 2435-2464, 2020.

[6]. Jie Shen and Changtao Sheng. An efficient space-time method for time fractional diffusion equation. Journal of Scientific Computing, Vol. 81 (2), 1088-1110, 2019.

[7]. Weizhu Bao, Xinran Ruan, Jie Shen and Changtao Sheng. Fundamental gaps of the fractional Schrödinger operator. Communications in Mathematical Sciences, Vol. 17 (2), 447-471, 2019.

[8]. Zhongqing Wang, Changtao Sheng, Hongli Jia and Dao Li. A Chebyshev spectral collocation method for nonlinear Volterra integral equations with vanishing delays. East Asian Journal on Applied Mathematics, Vol. 8 (2), 233-260, 2018.

[9]. Changtao Sheng and Jie Shen. A space-time petrov-Galerkin spectral method for fractional diffusion equation. Numerical Mathematics: Theory, Methods and Applications, Vol. 11 (4), 854-876, 2018.

[10]. Changtao Sheng and Jie Shen. A hybrid spectral element method for fractional two-point boundary value problem. Numerical Mathematics: Theory, Methods and Applications, Vol. 10(2), 437-464, 2017.

[11]. Changtao Sheng and Jie Shen. A hybrid spectral element method for Volterra integral equations with weakly singular kernel. SCIENTIA SINICA Mathematica, Vol. 46 (7), 1-20, 2016.

[12]. Jie Shen, Changtao Sheng and Zhongqing Wang. Generalized Jacobi spectral-Galerkin method for nonlinear Volterra integral equations with weakly singular kernels. Journal of Mathematical Study, Vol. 48 (4), 315-329, 2016.

[13]. Changtao Sheng, Zhongqing Wang and Benyu Guo. An hp-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays. Applied Numerical Mathematics, Vol. 105, 1-24, 2016.

[14]. ZhongqingWang and Changtao Sheng. An hp-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays. Mathematics of Computation, Vol. 85 (298), 635-666, 2016.

[15]. Changtao Sheng, Zhongqing Wang and Benyu Guo. A multistep Legendre-Gauss spectral collocation method for nonlinear Volterra integral equations. SIAM Journal on Numerical Analysis, Vol. 52 (4), 1953-1980, 2014.