姓名：盛长滔
职称：副教授，博士生导师
研究领域：谱方法与谱元法及其应用，非局部与奇性问题的高精度数值方法，高维偏微分方程的高效随机算法及深度学习方法，计算金融及其应用等。
办公电话：021-65903262
办公地址：上海市杨浦区国定路777号上海财经大学红瓦楼926
邮箱：ctsheng@sufe.edu.cn
教育经历：
2014/09-2018/07，厦门大学，计算数学专业，博士
2016/09-2018/01，Purdue University，数学系，联合培养博士
工作经历：
2021/04至今，上海财经大学数学学院
2018/12-2021/01，新加坡南洋理工大学，数学系，博士后研究员
科研项目：
2026/01-2029/12国家自然科学基金-面上项目，主持
2023/01-2025/12国家自然科学基金-青年基金，主持
2021/10-2023/09上海市浦江人才计划，主持
2023/01-2026/12国家自然科学基金-面上项目，参与
2019/01-2022/12国家自然科学基金-面上项目，参与
2023/01-2023/12科学工程计算教育部重点实验室项目，主持
科研奖励：
2021，郭本瑜青年学者优秀论文一等奖
2023，上海市自然科学二等奖（第四）
代表性成果（包含已发表+已投稿）：
【24】A derivative-free localized stochastic method for high-dimensional semilinear parabolic PDEs (with Shuixin Fang, Bihao Su, and Tao Zhou), submitted to Numerische Mathematik, 2026.
【23】Numerical methods for space-time fractional diffusion: a stochastic approach (with Tengteng Cui, Bihao Su, and Zhi Zhou), Revise and Resubmit, SIAM Journal on Scientific Computing, 2026.
【22】An hp-version time stepping spectral Monte Carlo method for semi-linear parabolic equations (with Jiaying Feng, Zhiyuan Hui, and Chenglong Xu), Revise and Resubmit, SIAM Journal on Numerical Analysis, 2026.
【21】An efficient finite element method for multi-dimensional nonlocal Laplacian on uniform grids (with Huiyuan Li, Huifang Yuan, and Li-Lian Wang), Journal of Computational Physics, Vol. 559, 114918, 2026.
【20】An implicit-explicit Monte Carlo method for semi-linear PDEs driven by α-stable Lévy process and its error estimates (with Bihao Su and Chenglong Xu), Mathematics of Computation, Vol. 95 (357), 263-291, 2026.
【19】Exponentially accurate spectral Monte Carlo method for linear PDEs and their error estimates (with Jiaying Feng and Chenglong Xu), Applied Numerical Mathematics, Vol. 217, 278-297, 2025.
【18】FEM on nonuniform meshes for nonlocal Laplacian: semi-analytic implementation in one dimension (with Hongbin Chen and Li-Lian Wang), Calcolo, Vol. 62 (9), 2025.
【17】A highly efficient and accurate divergence-free spectral method for curl-curl equation in two and three dimensions (with Lechang Qin and Zhiguo Yang), SIAM Journal on Scientific Computing, Vol. 46 (4), A2150-A2177, 2024.
【16】Fast implementation of FEM for integral fractional Laplacian on rectangular meshes (with Li-Lian Wang, Hongbin Chen, and Huiyuan Li), Communications in Computational Physics, Vol. 36 (3), 673-710, 2024.
【15】Efficient Monte Carlo method for integral fractional Laplacian in multiple dimensions (with Bihao Su and Chenglong Xu), SIAM Journal on Numerical Analysis, Vol. 61 (5), 2035-2061, 2023.
【14】Müntz ball polynomials and Müntz spectral-Galerkin methods for singular eigenvalue problems (with Xiu Yang, Li-Lian Wang, and Huiyuan Li), Journal of Scientific Computing, Vol. 96 (59), 2023.
【13】A new `walk on spheres' type method for fractional diffusion equation in high dimensions based on the Feynman-Kac formulas (with Su, Bihao and Xu, Chenglong), Applied Mathematics Letters, Vol.141, 108597, 2023.
【12】Nontensorial Generalised Hermite Spectral Methods for PDEs with fractional Laplacian and Schrödinger operators (with Suna Ma, Huiyuan Li, Li-LianWang, and Lueling Jia), ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 55 (5), 2141-2168, 2021.
【11】Efficient spectral methods for PDEs with spectral fractional Laplacian (with Duo Cao and Jie Shen), Journal of Scientific Computing, Vol. 88 (1), 2021.
【10】On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for fractional Allen-Cahn equations (with Hongyan Liu, Li-Lian Wang, and Huifang Yuan),Journal on Scientific Computing, Vol. 86 (19), 2021.
【9】On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes (with Hongbin Chen and Li-Lian Wang), Applied Mathematics Letters, Vol. 113, 106864, 2021.
【8】Fast Fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs involving integral fractional Laplacian in unbounded domains (with Jie Shen, Tao Tang, Li-Lian Wang, and Huifang Yuan), SIAM Journal on Numerical Analysis, Vol. 58 (5), 2435-2464, 2020.
【7】An efficient space-time method for time fractional diffusion equation (with Jie Shen), Journal of Scientific Computing, Vol. 81 (2), 1088-1110, 2019.
【6】Fundamental gaps of the fractional Schrödinger operator (with Weizhu Bao, Xinran Ruan, and Jie Shen), Communications in Mathematical Sciences, Vol. 17 (2), 447-471, 2019.
【5】A hybrid spectral element method for Volterra integral equations with weakly singular kernel (with Jie Shen), SCIENTIA SINICA Mathematica, Vol. 46 (7), 1-20, 2016.
【4】Generalized Jacobi spectral-Galerkin method for nonlinear Volterra integral equations with weakly singular kernels (with Jie Shen and Zhongqing Wang), Journal of Mathematical Study, Vol. 48 (4), 315-329, 2016.
【3】An hp-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays (with Zhongqing Wang and Benyu Guo), Applied Numerical Mathematics, Vol. 105, 1-24, 2016.
【2】An hp-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays (with ZhongqingWang), Mathematics of Computation, Vol. 85 (298), 635-666, 2016.
【1】A multistep Legendre-Gauss spectral collocation method for nonlinear Volterra integral equations (with Zhongqing Wang and Benyu Guo), SIAM Journal on Numerical Analysis, Vol. 52 (4), 1953-1980, 2014.
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