头像
赵璇
副教授
太阳成集团tyc234cc官网
系统科学系
电话：
02552090590
邮箱：
xuanzhao11@seu.edu.cn
地址：
综合楼623-1
邮编：
211189
  • 基本信息
  • 研究成果
  • 项目与荣誉
  • 社会兼职
  • 赵璇，副教授，博士生导师，学院外事秘书/本科生国际交流秘书。2014年获太阳成集团tyc234cc官网理学博士学位，太阳成集团tyc234cc官网与布朗大学联合培养博士，布朗大学、北京计算科学研究中心博士后，太阳成集团tyc234cc官网至善青年学者。研究方向为微分方程数值解，目前关注非线性相场-流场模型时间自适应算法与分析、高维数据自适应分析方法，在SIAM J. Sci. Comput，SIAM J. Numer. Anal., J. Comput. Phys，J. Sci. Comput，CMAME，IEEE Trans.等期刊发表学术论文50余篇，论文目前他引总数1500余次。担任SCI期刊Int. J. Comput. Math.编委。主持国自然项目2项、江苏省青年项目（结题优秀）、横向项目等多个项目。参与江苏省基础前沿研究计划、科技部重点研发计划、重点项目等多项科研项目。指导博士生获批2024年国家自然科学基金青年学生基础研究项目、硕士研究生获江苏省2024年优秀硕士学位论文。
    2016年至今担任全国研究生数模竞赛指导老师以及评委; 承担研究生：数值分析；本科生：高等数学（A）、几何与代数（B）和线性代数（B）等课程教学任务；在2017年获得太阳成集团tyc234cc官网首开课优秀奖以及太阳成集团tyc234cc官网授课竞赛三等奖; 2016年通过英文文化教育协会、英国总领事馆文化教育处和太阳成集团tyc234cc官网联合举办的以英文为媒介的教学培训。
    研究领域：微分方程的高效快速算法设计；机器学习方法的应用和优化（电力系统等）；欢迎报考博士、硕士研究生，加入课题组做博士后，将为每一位同学设置定向的培养方案（工作或者国内外深造），期待您的参与！


  • 图书章节：

     

    [1] Xuan Zhao, and Zhi-zhong Sun, Part 1. Time-fractional derivatives, in Handbook of Fractional Calculus with Applications Volume 3: Numerical Methods edited by Jose Antonio Tenreiro Machado, pp. 34-59, De Gruyter, 2019.

     

     

    期刊论文：

    [50] Bingqing Hu, Junping Yin, Xuan Zhao*, Unconditionally energy stable high-order convex-splitting schemes for the square phase field crystal model with complex nonlinearity, Journal of Computational Physics, 2025, 114365.

     

    [49] Ren-jun Qi, Xuan Zhao*, Provably third-order energy stable adaptive algorithm for modeling square pattern in phase field crystal, Comput. Methods Appl. Mech. Engrg, 447 2025.

     

    [48] Ren-jun Qi, Chandrasekhar Venkataraman, Zhimin Zhang, Xuan Zhao*, On Stability and Error Estimate of Adaptive Third-Order BDF Methods with Improved Step-Size Ratio for Nonlinear Parabolic Equations, Journal on Scientific Computing, (2025) 104(3) 99.

     

    [47] Xuping Wang, Xuan Zhao, Hong-lin Liao*, A unified framework on the original energy laws of three effective classes of Runge-Kutta methods for phase field crystal type models, SIAM Journal on Numerical Analysis, 63(4) (2025) 1808-1832.

     

    [46] Bingquan Ji, Yuezheng Gong, Yushun Wang, Xuan Zhao*, Time-grid independent error analysis of adaptive predictor-corrector BDF2 scheme for the unsteady Navier-Stokes equations with high Reynolds number, IMA Journal of Numerical Analysis,10.1093/imanu m/dra f094

     

    [45] Xuan Zhao*, Ran Yang, Zhongqin Xue, Hong Sun, Energy stable and L2 norm convergent BDF3 scheme for the Swift-Hohenberg equation, Numerical Methods for Partial Differential Equations, 41(4) 2025 e70021.

     

    [44] Zhuhan Jiang, Hong Sun, Xuan Zhao*, Maximum bound principle preserving nonuniform L1 scheme for space-time fractional Allen-Cahn equation,International Journal of Computer Mathematics, DOI10.1080/00207160.2025.2524774.

     

    [43] Zhongqin Xue, Xuan Zhao*, Efficient variable steps BDF2 scheme for the two-dimensional space fractional Cahn-Hilliard model, Communications on Applied Mathematics and Computation, (2025) 7:1489–1515.

     

    [42] Bingquan Ji, Xuan Zhao*, Mesh-robust L2 norm convergence of variable-step linear BDF2 scheme for the incompressible Navier-Stokes equations, Numerical Algorithms,(2025) 98:1917–1942.

     

    [41] Honglin Liao, Nan Liu, Xuan Zhao*, Asymptotically compatible energy of variable-step fractional BDF2 scheme for the time-fractional Cahn-Hilliard model, IMA Journal of Numerical Analysis,(2025) 45, 1425–1454.

     

    [40] Xuan Zhao*, Bingqing Hu, Hong Sun, Energy dissipation law of the temporal variable-step fractional BDF2 scheme for space-time-fractional Cahn-Hilliard equation, Fractal Fract. (2024), 8(12),740.

     

    [39] Yiheng Wei*, Linlin Zhao, Xuan Zhao, Jinde Cao, Fractional difference inequalities for possible Lyapunov functions: a review, Fractional Calculus and Applied Analysis, 27 (2024), 2124-2161.

     

    [38] Zonghan Li, Yangbo Wei, Yixian Zhang, Xuan Zhao*, Adaptive data processing framework for efficient short-term traffic flow prediction, Nonlinear Dynamics, 112.17 (2024), 15231-15249.

     

    [37] Ren-jun Qi, Wei Zhang, Xuan Zhao*, Variable-step numerical schemes and energy dissipation laws for time fractional Cahn-Hilliard model, Applied Mathematics Letters, 149 (2024), 108.

     

    [36] Xuan Zhao*, Ran Yang, Ren-jun Qi, Hong Sun, Energy stability and convergence of variable-step L1 scheme for the time fractional Swift-Hohenberg model, Fractional Calculus and Applied Analysis, 27 (2024), 82-101.

     

    [35] Ren-jun Qi, Xuan Zhao*, A unified design of energy stable schemes with variable steps for fractional gradient flows and nonlinear integro-differential equations, SIAM Journal on Scientific Computing, 46 (2024), A130-A155.

     

    [34] Xuan Zhao*, Zhuhan Jiang, Hong Sun, Energy dissipation law of the variable time-step fractional BDF2 scheme for the time fractional molecular beam epitaxial model, International Journal of Computer Mathematics, 101.9-10 (2024), 1188-1204.

     

    [33] Zhongqin Xue, Guanghui Wen, Zhimin Zhang, Xuan Zhao*, Efficient high-order backward difference formulae for Cahn-Hilliard equation with the gradient flow in $H^{-\alpha}$, Communications in Computational Physics, 35 (2024), 1263-1286.

     

    [32] Xuan Zhao*, Haifeng Zhang, Ren-jun Qi, Stability and convergence of BDF2-ADI schemes with variable step sizes for parabolic equation, Applied Numerical Mathematics, 203 (2024), 173-185.

     

    [31] Zhongqin Xue, Shuying Zhai, Xuan Zhao*, Energy dissipation and evolutions of the nonlocal Cahn-Hilliard model and space fractional variants using efficient variable-step BDF2 method, Journal of Computational Physics, 510 (2024), 113071.

     

    [30] Bingqing Hu, Wei Zhang, Xuan Zhao*, Convergence analysis of the maximum principle preserving BDF2 scheme with variable time-steps for the space fractional Allen-Cahn equation, Journal of Computational and Applied Mathematics, 448 (2024), 115951.

     

    [29] Yixian Zhang, Zhuoxuan Li, Yiding Cao, Xuan Zhao*, Deep Reinforcement Learning Using Optimized Monte Carlo Tree Search in EWN, IEEE Transactions on Games,16 (2024) , 544-555.

     

    [28] Xuan Zhao*, Zhenhai Wu, Jingyi Qiu, Yiheng Wei, A novel hybrid algorithm with static and dynamic models for air quality index forecasting, Nonlinear Dynamics, 111 (2023), 13187-13199.

     

    [27] Xuan Zhao*, Haifeng Zhang, Hong Sun, Errors of an implicit variable-step BDF2 method for a molecular beam epitaxial model with slope selection, East Asian Journal on Applied Mathematics, 13 (2023), 886-913.

     

    [26] Juan Li, Hong Sun, Xuan Zhao*, Energy stable and convergent BDF3-5 schemes for the molecular beam epitaxial model with slope selection, International Journal of Computer Mathematics, 100 (2023), 1646-1665.

     

    [25] Hong Sun, Yanping Chen, Xuan Zhao, Error estimate of the nonuniform L1 type formula for the time fractional diffusion-wave equation, Communications in Mathematical Sciences, 21 (2023), 1707-1725.

     

    [24] Zhongqin Xue, Xuan Zhao*, Compatible energy dissipation of the variable-step L1 scheme for the space-time fractional Cahn-Hilliard equation, SIAM Journal on Scientific Computing, 44 (2023), A2539-A2560.

     

    [23] Yiheng Wei, Yuquan Chen, Xuan Zhao, Jinde Cao, Analysis and synthesis of gradient algorithms based on fractional-order system theory, IEEE Transactions on Systems Man Cybernetics-Systems,53 (2023), 1895-1906.

     

    [22] Hong Sun, Xuan Zhao*, Haiyan Cao, Ran Yang, Ming Zhang, Stability and convergence analysis of adaptive BDF2 scheme for the Swift-Hohenberg equation, Communications in Nonlinear Science and Numerical Simulation, 111 (2022), 106412.

     

    [21] 邱敬怡,赵璇*,基于 SVR-BP 算法的江苏省空气质量指数预测,南通大学学报(自然科学版)，2020 19(1): 42-47. 

     

    [20] Xuan Zhao∗, Meichen Song, Anqi Liu, Yiming Wang, Tong Wang, Jinde Cao∗, Data-driven temporal-spatial model for the prediction of AQI in Nanjing, Journal of Artificial Intelligence and Soft Computing Research, 10 (2020) 255-270.

     

     

    [19]Shuying Zhai, Dongling Wang, Zhifeng Weng,  Xuan Zhao*, Error analysis and numerical simulations of strang splitting method for space fractional nonlinear Schrodinger equation,Journal on Scientific Computing, 81 (2019) 965-989. 

      

    [18] Chengdai Huang, Xuan Zhao, Xuehai Wang, Zhengxin Wang, Min Xiao, Jinde Cao, Disparate delays-induced bifurcations in a fractional-order neural network, Journal of the Franklin Institute 356 (2019) 2825–2846.   

    [17] Chengdai Huang, Xiaobing Nie, Xuan Zhao, Qiankun Song, Zhengwen Tu, Min Xiao, Jinde Cao, Novel bifurcation results for a delayed fractional-order quaternion-valued neural network, Neural Networks 117 (2019) 67–93. 

      

    [16] Hong Sun, Xuan Zhao, Zhi-zhong Sun, The temproal second order difference schemes based on the interpolation approximation for the time multi-term fractional wave equation,Journal on Scientific Computing, (2019) 78:467–498. 

      

    [15] Beichuan Deng, Zhimin Zhang, Xuan Zhao, Superconvergence points for the spectral interpolation of Riesz fractional derivatives,Journal on Scientific Computing,81 (2019) 1577-1601.

      

    [14]  Yue Zhao, Weiping Bu, Xuan Zhao, Yifa Tang, Galerkin finite element method for two-dimensional space and time fractional Bloch–Torrey equation,Journal of Computational Physics, 350 (2017), 117-135.

      

    [13] Xiaoshuai Ding, Jinde Cao, Xuan Zhao, and Fuad E. Alsaadi, Mittag-Leffler synchronization of delayed fractional-order bidirectional associative memory neural networks with discontinuous activations: state feedback control and impulsive control schemes, Proc. R. Soc. A 473: 20170322. 

      

    [12] Xiaoshuai Ding, Jinde Cao,  Xuan Zhao,  Fuad E. Alsaadi, Finite-time stability of fractional-order complex-valued Neural Networks with time delays, Neural Process Lett (2017) 46:561–580. 

      

    [11] Xuan Zhao*, Xiaozhe Hu, Wei Cai, George E. Karniadakis, Adaptive Finite element method for fractional differential equations using Hierarchical matrices,Comput. Methods Appl. Mech. Engrg, 325 (2017) 56–76 .

      

    [10] Xuan Zhao, Zhimin Zhang, Superconvergence points of fractional spectral interpolation, SIAM Journal on Scientific Computing, 38 (2016) A598-A614.

      

    [9] Xuan Zhao*, Zhi-zhong Sun, George Em Karniadakis, Second order approximations for variable order fractional derivatives: Algorithms and applications, Journal of Computational Physics, 293 (2015) 184–200.

      

    [8] Xuan Zhao, Zhi-zhong Sun, Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium, Journal of Scientific Computing, 62 (2015) 747-771.

      

    [7] Xuan Zhao*, Zhi-zhong Sun, Zhao-peng Hao, A fourth-order compact ADI scheme for 2D nonlinear space fractional Schrödinger equation, SIAM Journal on Scientific Computing, 36-6 (2014), pp. A2865-A2886.

      

    [6] Haiyan Cao, Zhi-zhong Sun, Xuan Zhao, A second-order three-level difference scheme for a Magneto-Thermo-Elasticity Model, Adv. Appl. Math. Mech., 6 (2014), 281-298. 

      

    [5] Jin-cheng Ren, Zhi-zhong Sun, Xuan Zhao, Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions, Journal of Computational Physics, 232 (2013), 456-467. 

      

    [4] Xuan Zhao*, Qinwu Xu, Efficient numerical schemes for fractional sub-diffusion equation with the spatially variable coefficient, Applied Mathematical Modelling, 38 (2014) 3848-3859. 

      

    [3] Juan Li, Zhi-zhong Sun, Xuan Zhao, A three level linearized compact difference scheme for the Cahn-Hilliard equation, Sci China Math, 55 (2012), 805-826. 

      

    [2]Ya-nan Zhang, Zhi-zhong Sun, Xuan Zhao, Compact alternating direction implicit schemes for the two-dimensional fractional diffusion-wave equation, SIAM Journal on Numerical Analysis, 50 ( 2012) , 1535-1555.  

      

    [1]Xuan Zhao, Zhi-zhong Sun, A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions, Journal of Computational Physics, 230 (2011), 6061-6074.

      

      

     


  • 科研项目：


    [14] 国家自然科学基金委员会，面上项目，12571421，2026-01至2029-12，在研，主持 

     

    [13] 江苏省应用数学科学研究中心，院士一对一项目，2025.01至2026.12，在研，主持  

     

    [12] 国电南瑞科技股份有限公司，高维流形降维方法研究，2024至2025，在研，主持  

     

    [11] 江苏省科学技术厅，省前沿引领技术基础重大项目，高维不确定性电力系统安全防御前沿基础理论与方法，2022-11至2027-10，在研，参与  


    [10] 太阳成集团tyc234cc官网至善青年，2020.01至2022.12，结题，主持  

     

    [9] 国家自然科学基金委员会，青年项目，11701081，2018-01至2020-12，结题，主持  

     

    [8] 江苏省自科学然基金委员会，青年项目，BK20160660，2016-07至2019-06，结题，主持

     

    [7] 太阳成集团tyc234cc官网高校基本科研业务费高水平论文项目, (No. 2242016K41029), 2016-01至2017-12，结题，主持

     

    [5] 国家自然科学基金委员会，地区项目，1186010285，2019-01-至2022-12，结题，参加

     

    [4] 国家自然科学基金委员会，重点基金，61833005，2019-01至2023-12，结题，参加

     

    [3] 国家自然基金委员会，面上项目，61673111，2017-01至2020-12，结题，参加

     

    [2] OSD/ARO/MURI, W911NF-15-1-0562, Fractional PDEs for Conservation Laws and Beyond: Theory, Numerics and Applications,2015-2020,结题，参加

     

    [1]  国家自然基金委员会，面上项目，11271068,2013-01至2016-12,结题，参加


    教改项目：

    [1] 校级，2017-cxcy-020，基于SRTP训练成果推动大学生大数据服务创业的研究，2017-08至2019-07.


    研究生指导：

    博士：

    齐韧钧 （2022.9-），获批校级、省级研究生创新计划；国自然博士基金（30W）；


    硕士：

    杨冉   （2019.9-2022.6），毕业去向：中国人寿（北京）

    薛忠琴（2020.9-2023.6），毕业去向：Tufts U读博（全奖），江苏省优秀硕士论文

    张海丰（2021.9-2024.6），毕业去向：江苏银行

    蒋竹涵（2022.9-2025.6），毕业去向：WSU读博（全奖）

    胡冰清 （2023.9-）

    黄嘉俊 （2024.9-）

    陈思言 （2025.9-）

    张婧婷 （2025.9-）


    学生项目竞赛指导：

    1. 本科生毕业设计20名，优秀毕设，优秀交叉毕设团队

    2. SRTP：国家级7支队伍、省级1支队伍、校级若干

    3. 全国研究生数模竞赛评委（2017-）；研究生数模竞赛校内教练


    荣誉：

    10. 2021年指导泰迪杯数据挖掘挑战赛全国一等奖

    9. 2019年太阳成集团tyc234cc官网至善青年学者

    8. 2019年江苏省建奖教金

    7. 2018年泰迪杯数据挖掘挑战赛指导全国一等奖、全国二等奖

    6. 2017年太阳成集团tyc234cc官网青年教师授课竞赛 三等奖

    5.  2017年太阳成集团tyc234cc官网首开课，优秀奖 （全校2名）

    4. 2016年分数阶微分和应用国际会议，Riemann-Liouville Award 

    3. 2015 年太阳成集团tyc234cc官网优秀博士学位论文

    2. 2015 年Applied Mathematical Modelling 杂志优秀审稿人 

    1. 2014 年Journal of Computational Physics 杂志优秀审稿人 











  • 编委


    [1] SCI期刊Int. J. Comput. Math.编委（2025.3-）


    审稿:


    SIAM Journal on Scientific Computing


    Journal of Computational Physics


    Journal on Scientific Computing


    Mathematics and Computers in Simulation


    Applied Mathematical Modelling 


    Numerical Algorithms


    Journal of Computational Mathematics...