基本信息

姓名：蒋凯

职称：教授

电子信箱：kaijiang@xtu.edu.cn

办公室：数学楼 B-511

个人简介

蒋凯，教授，国家高层次青年人才，湖南省科技创新领军人才，宝钢优秀教师；主要从事无理数引发的数学和算法等方面的研究；主持国家重点研发计划课题1项、国家自然科学基金3项（面上2项、青年1项）、湖南省杰出青年基金，多项省部级项目和企业横向项目；获中国计算数学学会优秀青年论文一等奖；湖南省优秀博士论文指导教师；《计算数学》编委；中国工业与应用数学学会“数学与航天交叉学科”专业委员会副秘书长，“科学工程计算与数值仿真”湖南省重点实验室副主任。

学习工作经历

教育经历：

2002.09-2006.06, 304am永利集团，本科，             信息与计算科学

2006.09-2011.06, 304am永利集团，博士研究生，   计算数学

2007.01-2011.06, 北京大学，博士研究生，   计算数学，    联合培养

工作经历：

2019.12-至今，     304am永利集团，              教 授

2015.01-2019.12，304am永利集团，             副教授

2015.08-2017.12，新加坡国立大学，   客座研究员

2013.07-2014.12，304am永利集团，             讲 师

2011.07-2013.06，北京大学，             博士后

主讲课程

本科生课程：

《高等代数I、II》、《复变函数》、《实变函数》、《高等数学》、《线性代数》等

研究生课程：

《软物质材料科学计算导论》、《常微分方程定性理论》、《最优化计算》等

研究方向

无理数引发的数学和算法、软物质体系可计算建模与模拟、AI for Science

招生方向

课题组长期招收优秀的博士后、数学类博士生、数学类学术硕士生、应用统计专业硕士生，以及本科生。欢迎对科学研究感兴趣，具有良好数学基础、编程和写作能力，并具有恒心和毅力的同学加入课题组！

代表性论文专著

[25]. Kai Jiang, Xueyang Li, Yao Ma, Juan Zhang, Pingwen Zhang, Qi Zhou, Irrational-window-filter projection method and application to quasiperiodic Schrödinger eigenproblems, SIAM Journal on Numerical Analysis, 2025 (arXiv: 2404.04507).

[24]. Kai Jiang, Shifeng Li, Pingwen Zhang, On the approximation of quasiperiodic functions with Diophantine frequencies by periodic functions, SIAM Journal on Mathematical Analysis, 2025 (arXiv:2304.04334).

[23]. Gang Cui, Kai Jiang, Tiejun Zhou, An efficient saddle dynamic method for ordered phase transition involving translational invariance, Computer Physics Communications, 306, 109381, 2025.

[22]. Gang Cui, Kai Jiang, Spring pair method of finding saddle points using the minimum energy path as a compass, Physical Review E, 110, 064123, 2024

[21]. Zhijuan He, Jin Huang, Kai Jiang, An-Chang Shi, The morphologies of symmetric diblock copolymers in the 3D soft confinement, Soft Matter, 20, 9404-9412, 2024.

[20]. Tiejun Zhou, Lei Zhang, Pingwen Zhang, An-Chang Shi, Kai Jiang, Nucleation and phase transitions of decagonal quasicrystals, The Journal of Chemical Physics, 161, 164503, 2024.

[18]. Zhijuan He, Xin Wang, Pingwen Zhang, An-Chang Shi and Kai Jiang, Theory of polygonal phases self-assembled from T-shaped liquid crystalline molecules, Macromolecules, 57(5), 2154-2164, 2024.

[17]. Kai Jiang, Qi Zhou, Pingwen Zhang, Accurately recovery global quasiperiodic systems by finite points,  SIAM Journal on Numerical Analysis, 62(4), 1713-1735, 2024.

[16]. Chenglong Bao, Chang Chen, Kai Jiang, Lingyun Qiu, Convergence analysis for Bregmanian iterations in a class of Landau energy functionals, SIAM Journal on Numerical Analysis, 62(1), 476-499, 2024.

[15]. Kai Jiang, Shifeng Li, Pingwen Zhang, Numerical methods and analysis for computing quasiperiodic systems, SIAM Journal on Numerical Analysis, 62(1), 353-375, 2024.

[14]. Kai Jiang, Wei Si, Jie Xu, Tilt grain boundaries of hexagonal structures: a spectral viewpoint,   SIAM Journal on Applied Mathematics, 82(4): 1267-1286, 2022.

[13]. Kai Jiang, Xuehong Su, Juan Zhang, A general alternating-direction implicit framework with Gaussian regression parameter prediction for large sparse linear systems, SIAM Journal on Scientific Computing, 44(4): A1960-A1988, 2022.

[12]. Jianyuan Yin, Kai Jiang, An-Chang Shi, Pingwen Zhang, and Lei Zhang, Transition pathways connecting crystals and quasicrystals, Proceedings of the National Academy of Sciences, 118 (49)  2106230118, 2021.

[11]. Kai Jiang, Wei Si, Chang Chen, Chenglong Bao, Efficient numerical methods for computing the stationary states of phase field crystal models, SIAM Journal on Scientific Computing, 43(6): B1350-B1377, 2020.

[10]. Huayi Wei, Ming Xu, Wei Si, Kai Jiang, A finite element method of the self-consistent field theory on general curved surfaces, Journal of Computational Physics, 387: 230-244, 2019.

[9]. Kai Jiang, Pingwen Zhang, Numerical mathematics of quasicrystals, Proc. Int. Cong. of Math., 3 (2018), pp. 3575–3594.

[8]. Kai Jiang, Pingwen Zhang, An-Chang Shi, Stability of icosahedral quasicrystals in a simple model with two-length scales, Journal of Physics: Condensed Matter, 29:124003, 2017.

[6]. Kai Jiang, Juan Zhang, Qin Liang, Self-assembly of asymmetrically interacting ABC star triblock copolymer melts, The Journal of Physical Chemistry B, 119: 14551-14562, 2015.

[5]. Kai Jiang, Jiajun Tong, Pingwen Zhang, An-Chang Shi, Stability of two-dimensional soft quasicrystals in systems with two length scales, Physical Review E, 92: 042159, 2015.

[4]. Kai Jiang, Weiquan Xu, Pingwen Zhang, Analytic structure of the SCFT energy functional of multicomponent block copolymers, Communications in Computational Physics, 17:1360-1387, 2015.

[3]. Kai Jiang, Pingwen Zhang, Numerical methods for quasicrystals, Journal of Computational Physics, 256:428-440, 2014.

[1]. Kai Jiang, Yunqing Huang, Pingwen Zhang, Spectral method for exploring patterns of diblock copolymers, Journal of Computational Physics, 229:7796-7805, 2010.