李常品

A63F7

职务/职称:教授、博士生导师、伟长学者、IMA会士 (FIMA, Fellow of the Institute of Mathematics and its Applications, UK)

邮箱:lcp@shu.edu.cn

电话:021-66132184

研究领域:

偏微分方程数值方法,主要研究分数阶偏微分方程的数值方法等

教育经历:

1993.9-1998.4, 上海大学(原上海科学技术大学), 计算数学, 博士

工作经历:

2007.2-至今, 上海大学, 数学系, 教授

2000.5-2007.1, 上海大学, 数学系, 副教授

1998.5-2000.4, 上海大学, 数学系, 讲师

代表性科研项目:

[1] 非线性阿达马型分数阶偏微分方程有限时间爆破问题的数值方法研究, 国家自然科学基金面上项目(12271339), 2023.1.1-2026.12.31, 46万元, 主持

[2]英文专著《Fractional Integrals and Derivatives: Theory and Applications》的翻译,国家自然科学基金数学天元基金-数学文化与传播项目(12126512),2022.1.1-2022.12.31, 12万元, 主持

[3] 分数阶泊松方程的建模和计算, 国家自然科学基金数学天元基金-天元数学访问学者项目(11926319), 2020.1.1-2020.12.31, 20万元,主持

[4] 分数阶泊松方程的建模和计算,国家自然科学基金数学天元基金-天元数学访问学者项目(11926336), 2020.1.1-2020.12.31, 参与

[5] 材料疲劳断裂的分数阶建模及动力学分析, 国家自然科学基金面上项目(11872234), 2019.1.1-2022.12.31, 63万元, 主持

[6] 多尺度耦合非线性动力系统的复杂行为及其机理研究, 国家自然科学基金重点项目(11632008), 2017.1.1-2021.12.31, 参与

[7] 反常扩散的分数阶偏微分方程建模及其数值计算, 国家自然科学基金面上项目(11671251), 2017.1.1-2020.12.31, 48万元, 主持

[8] 分数阶动力系统的二个重要问题, 国家自然科学基金面上项目(11372170), 2014.1.1-2017.12.31, 78万元, 主持

[9] 非牛顿流体中分数阶偏微分方程的数值计算, 上海市教育委员会科研创新重点项目(12ZZ084), 2012.1.1-2014.12.31, 16万元, 主持

[10] 复杂网络动力学的几个分岔与混沌问题的研究, 国家自然科学基金面上项目(10872119), 2009.1.1-2011.12.31, 36万元, 主持

[11] 对称破缺分歧计算中的几个问题, 国家自然科学基金数学天元青年基金(A0324651), 2003.11.1-2005.10.31, 3万元, 主持

[12] 广义逆理论、应用及计算, 国家自然科学基金面上项目(19971057), 2000.1.1-2002.12.31, 参与

代表性学术论文(自2013年):

[1] Jiao, Caiyu, Li, Changpin, Wang, Hexiang, Zhang, Zhongqiang, A modified walk-on-sphere method for high dimensional fractional Poisson equation, Numerical Methods for Partial Differential Equations,  39(2), 1128-1162, 2023.

[2] Cai, Min; Karniadakis, George Em; Li, Changpin; Fractional SEIR model and data-driven predictions of COVID-19 dynamics of Omicron variant. Chaos 32 (2022), no. 7, Paper No. 071101, 10 pp.

[3] Li, Changpin; Li, Zhiqiang; The blow-up and global existence of solution to Caputo-Hadamard fractional partial differential equation with fractional Laplacian. J. Nonlinear Sci. 31 (2021), no. 5, Paper No. 80, 35 pp.

[4] Li, Changpin; Li, Zhiqiang; Wang, Zhen; Mathematical analysis and the local discontinuous Galerkin method for Caputo-Hadamard fractional partial differential equation. J. Sci. Comput. 85 (2020), no. 2, Paper No. 41, 27 pp.

[5] Li, Changpin; Yi, Qian; Chen, An; Finite difference methods with non-uniform meshes for nonlinear fractional differential equations. J. Comput. Phys. 316 (2016), 614–631.

[6] Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian; Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. SIAM J. Sci. Comput. 37 (2015), no. 1, A55–A78.

[7] Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V.; A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. SIAM J. Numer. Anal. 52 (2014), no. 6, 2599–2622.

[8] Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian; The use of finite difference/element approaches for solving the time-fractional subdiffusion equation. SIAM J. Sci. Comput. 35 (2013), no. 6, A2976–A3000.

[9] Ding, Hengfei; Li, Changpin; Mixed spline function method for reaction-subdiffusion equations. J. Comput. Phys. 242 (2013), 103–123.

学术专著和教材:

[1] Li, Changpin; Cai, Min, Theory and Numerical Approximations of Fractional Integrals and Derivatives. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2020. xiii+312 pp. ISBN: 978-1-611975-87-1

[2] Li, Changpin; Zeng, Fanhai, Numerical Methods for Fractional Calculus. Chapman & Hall/CRC Numerical Analysis and Scientific Computing. CRC Press, Boca Raton, FL, 2015. xviii+281 pp. ISBN: 978-1-4822-5380-1

[3] Li, Changpin, Wu, Yujiang, Ye, Ruisong eds., Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis, World Scientific, Singapore, 2013

[4] 李常品、盛万成、朱佩成 主编,数学科学与技术研究论文写作:案例与方法,上海:上海大学出版社,2022.  研究生写作课教材

[5] 李常品、杨建生 主编,数值分析,北京:高等教育出版社,2023. 非数学专业研究生和专业硕士教材

学术兼职:

[1] Editor-in-chief: Book series “Fractional Calculus in Applied Sciences and Engineering”, De Gruyter, Germany, since 2016

[2] Advisory Editor: Mathematical Methods in the Applied Sciences, since 2022

[3] Advisory Editor: Communications in Nonlinear Science and Numerical Simulation, since 2021

[4] Editor: Mathematics and Computers in Simulations, since 2018

[5] Editor: Applied Numerical Mathematics, since 2018

[6] Editor: Communications on Applied Mathematics and Computation, since 2017

[7] Editor: Journal of Nonlinear Science, since 2017

[8] Editor: Chaos, since 2018; Advisory Editor: 2017-2018

[9] Editor: Fractional Calculus and Applied Analysis, since 2015

[10] Associate Editor:International Journal of Computer Mathematics, since 2013

[11] Associate Editor:International Journal of Bifurcation and Chaos, since 2012; Guest Associate Editor: 2010-2011

[12] 编委:《上海大学学报(自然科学版)》,自2019

(最后更新日期:2023.2.7

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