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。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），多项省部级项目和企业横向项目。获湖南省杰出青年基金资助、中国计算数学学会优秀青年论文一等奖；《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, 6165cc金沙总站官网，本科， 信息与计算科学
2006.09-2011.06, 6165cc金沙总站官网，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， 6165cc金沙总站官网， 教 授
2015.01-2019.12，6165cc金沙总站官网， 副教授
2015.08-2017.12，新加坡国立大学， 客座研究员
2013.07-2014.12，6165cc金沙总站官网， 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
准晶数学和计算、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
[1]. Kai Jiang, Qi Zhou, Pingwen Zhang, Accurately recovery quasiperiodic function by finite points, to appear in SIAM Journal on Numerical Analysis, 2024. (arXiv:2309.13236)
[2]. 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.
[3]. Chenglong Bao, Chang Chen, Kai Jiang, Lingyun Qiu, Convergence analysis for Bregmanian iterations in a class of Landau energy functions, SIAM Journal on Numerical Analysis, 62(1), 476-499, 2024.
[4]. Kai Jiang, Shifeng Li, Pingwen Zhang, Numerical methods and analysis for computing quasiperiodic systems, SIAM Journal on Numerical Analysis, 62(1), 353-375, 2024.
[5]. 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.
[6]. 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.
[7]. Chen Cui, Kai Jiang, Yun Liu, Shi Shu, Fourier neural solver for large sparse linear algebraic systems, Mathematics, 10(21), 4014, 2022.
[8]. 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.
[9]. 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.
[11]. Kai Jiang, Pingwen Zhang, Numerical mathematics of quasicrystals, Proc. Int. Cong. of Math., 3 (2018), pp. 3575–3594.
[12]. 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.
[13]. 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.
[14]. 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.
[15]. 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.
[16]. Kai Jiang, Pingwen Zhang, Numerical methods for quasicrystals, Journal of Computational Physics, 256:428-440, 2014.
[17]. Kai Jiang, Yunqing Huang, Pingwen Zhang, Spectral method for exploring patterns of diblock copolymers, Journal of Computational Physics, 229:7796-7805, 2010.