[8] 国家自然科学基金委员会，重点项目，61833005，基于群体智能的分布式优化理论、方法及应用研究，2019-01至2023-12，在研，参加 

[7] 国家自然科学基金委员会，青年项目，11701081，基于分层矩阵存储的分数阶扩散方程的自适应算法设计和应用，2018-01至2020-12，结题 ，主持

[6] 国家自然科学基金委员会，地区项目，1186010285，分数阶四元数神经网络的稳定性分析与控制，2019-01-至2022-12，在研，参加

[5] 国家自然基金委员会，面上项目，61673111，基于忆阻的分数阶时滞神经网络的多稳定性分析与控制，2017-01至2020-12，结题，参加

[4] 江苏省自科学然基金委员会，青年项目，BK20160660，分数阶扩散方程的谱方法超收敛分析和应用，2016-07至2019-06，结题，主持 

[3] 东南大学高校基本科研业务费高水平论文项目, (No. 2242016K41029), 空间分数阶偏微分方程的高效算法研究,2016-01至2017-12，结题，主持

[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,空间分数阶偏微分方程高精度快速算法的研,2013-01至2016-12,结题，参加

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：

[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.  (ESI高被引论文)

[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.(ESI高被引论文)

[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.(ESI高被引论文)

[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.   (ESI高被引论文)

[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.