冯晓莉，副教授，硕士生导师，江苏南通人。2005.7本科毕业于兰州大学，2005.9--2010.12在兰州大学硕博连读，导师为傅初黎教授，期间于2009.10--2010.9在瑞典林雪平大学进行联合培养，导师为Lars Elden教授。2011年来beoplay体育提现数学与统计学院工作，2012.4--2015.1在beoplay体育提现进行博士后工作，导师为刘三阳教授。2018.9--2019.9在美国普渡大学进行访问交流，合作导师为李培军教授。

欢迎同学们推免或考取我的研究生，每年招收应用数学或计算数学硕士生1-2名，报考前请邮件联系：xiaolifeng@xidian.edu.cn 

研究方向：1. 数值计算；2.快速算法；3.小波分析；4.傅里叶分析；5.随机微分方程；6.偏微分方程中的反问题。

论文情况：发表论文34篇，其中一作论文17篇，3篇论文发表在反问题顶级期刊《Inverse Problems》上。

[35] Yun Zhang, Xiaoli Feng, Uniqueness of identifying multiple parameters in a time-fractional Cattaneo equation, Applied Mathematics Letters, Accepted.

[34] Xiaoli Feng, Chen Chen, Yun Zhang, Qiang Yao, Reconstructing a Random Source for a Stochastic Equation With Biharmonic Operator With Fractional White Noise, Mathematical Methods in the Applied Sciences, https://doi.org/10.1002/mma.10618.

[33] Xiaoli Feng, Qiang Yao, Yun Zhang, Inverse a time-dependent potential problem of a generalized time-fractional super-diffusion equation with a nonlinear source from a nonlocal integral observation, Communications in Nonlinear Science and Numerical Simulation, 138, 108197, 2024.

[32] Xiaoli Feng, Qiang Yao, Peijun Li, Xu Wang, An inverse source problem for the stochastic multi-term time-fractional diffusion-wave equation, arXiv:2311.01170.

[31] Xiaoli Feng, Xiaoyu Yuan, Meixia Zhao, Zhi Qian, Numerical methods for the forward and backward problems of a time-space fractional diffusion equation, Calcolo, (2024) 61:16, https://doi.org/10.1007/s10092-024-00567-3.

[30] Yun Zhang, Xiaoli Feng,  A nonstationary iterated Quasi-Boundary value method for reconstructing the source term in a time-space fractional diffusion equation,  Journal of Computational and Applied Mathematics, 440, 115612, 2024.

[29] Xiaoli Feng, Peijun Li, Xu Wang, An inverse potential problem for the stochastic diffusion equation with a multiplicative white noise, Inverse Problems and Imaging, 18(1), 271-285, 2024.

[28] Xiaoli Feng, Chen Chen,  The backward problem of a stochastic PDE with biharmonic operator driven by fractional Brownian motion, Applicable Analysis, 102(18), 4972-4996, 2023.

[27] Xiaoli Feng, Lizhi Zhao, The Backward Problem of Stochastic Convection–Diffusion Equation, Bull. Malays. Math. Sci. Soc., 45:3535–3560, 2022.

[26] Xiaoli Feng, Meixia Zhao, Zhi Qian, A Tikhonov regularization method for solving a backward time-space fractional diffusion problem, Journal of Computational and Applied Mathematics，411：114236，2022.

[25] Xiaoli Feng, Meixia Zhao, Peijun Li and Xu Wang, An inverse source problem for the stochastic wave equation, Inverse Problems & Imaging, 16(2): 397-415, 2022.

[24] Xiaoli Feng,  Peijun Li, Xu Wang, An inverse random source problem for the time fractional diffusion equation driven by a fractional Brownian motion, Inverse Problems, 36(2020), 045008 (30pp), 2020.

[23] Xiaoli Feng*, and Zhiqian, An a-posteriori wavelet method for solving two kinds of ill-posed problems, International Journal of Computer Mathematics, 95(9), 1893-1909, 2018.

[22] Chunyu Qiu, Xiaoli Feng, A wavelet method for solving backward heat conduction problems, Electron. J. Differential Equations,  2017 (219), 1-19, 2017.

[21] Zhi Qian*, and Xiao-Li Feng, A fractional Tikhonov method for solving a Cauchy problem of Helmholtz equation, Applicable Analysis, 96(10), 1656-1668, 2017.

[20] Xiaoli Feng*, and Wantao Ning, A Wavelet regularization method for solving analytic continuation, International Journal of Computer Mathematics, 92(5), 1025-1038, 2015.

[19] Xiao-Li Feng*, and Lars Eldén, Solving a Cauchy problem for a 3D elliptic PDE with variable coefficients by a quasi-boundary-value method, Inverse Problems, 30(1), 015005(17pp), 2014.

[18] Xiao-Li Feng*, Wantao Ning, and Zhi Qian, A Quasi-Boundary-Value method for a Cauchy problem of an elliptic equation in multiple dimensions, Inverse Problems in Science and Engineering, 22(7), 1045-1061, 2014.

[17] Hao Cheng, Xiao-Li Feng, A new filtering method for the Cauchy problem of the Laplace equation,International Journal of Computer Mathematics, 91(12), 2621-2630, 2014.

[16] Zhi Qian*, and Xiao-Li Feng, Numerical solution of a 2D inverse heat conduction problem, Inverse Problems in Science and Engineering, 21(3), 467-484, 2013.

[15] Zhi-Liang Deng*, Xiao-Mei Yang, and Xiao-Li Feng, A mollification regularization method for a fractional-diffusion inverse heat conduction problem, Mathematical Problems In Engineering,  2013, 9 pages, 2013.

[14] Hao Cheng*, Chu-Li Fu, and Xiao-Li Feng, An optimal filtering method for stable analytic continuation, Journal of Computational and Applied Mathematics, 236, 2582-2589, 2012. 

[13] Xiao-Li Feng*, Chu-Li Fu, and Hao Cheng, A regularization method for solving the Cauchy problem for the Helmholtz equation, Applied Mathematical Modelling, 35, 3301-3315, 2011.

[12] Zhi-Liang Deng*, Chu-Li Fu, Xiao-Li Feng, and Yun-Xiang Zhang, A mollification regularization method for stable analytic continuation,  Mathematics and Computers in Simulation, 81, 1593-1608, 2011.

[11] Hao Cheng*, Chu-Li Fu, and Xiao-Li Feng, An optimal filtering method for the Cauchy problem of the Helmholtz equation, Applied Mathematics Letters, 24, 958-964, 2011.

[10] Xiao-Li Feng, Lars Eldén and Chu-Li Fu, A quasi-boundary-value method for the Cauchy problem for elliptic equations with nonhomogeneous Neumann data, Journal of Inverse and Ill-posed Problems, 18(2010), 617-645.

[9] Xiao-Li Feng, Lars Eldén and Chu-Li Fu, Stability and regularization of a backward parabolic PDE with variable coefficients, Journal of Inverse and Ill-posed Problems, 18(2010), 217-243.

[8] Chu-Li Fu,  Xiao-Li Feng and Zhi Qian, Wavelets and high order numerical differentiation,  Applied Mathematical Modelling, 34(2010), 3008-3021.

[7] Hao Cheng, Xiao-Li Feng and Chu-Li Fu, A mollification regularization method for the Cauchy problem of an elliptic equation in a multi-dimensional case, Inverse Problems in Science and Engineering, 18(2010), 971-982.

[6] Chu-Li Fu, Xiao-Li Feng and Zhi Qian, The Fourier regularization for solving the Cauchy problem for the Helmholtz equation, Applied Numerical Mathematics, 59(2009), 2625-2640.

[5] Chu-Li Fu, Zhi-Liang Deng, Xiao-Li Feng and Fang-Fang Dou, A modified Tikhonov regularization for stable analytic continuation, SIAM Journal on Numerical Analysis, 47(2009),  2982-3000.

[4] Hao Cheng, Chu-Li Fu and Xiao-Li Feng, Determining surface heat flux in the steady state for the Cauchy problem for the Laplace equation,  Applied Mathematics and Computation, 211(2009), 374-382.

[3] Xiao-Li Feng, Zhi Qian and Chu-Li Fu, Numerical approximation of solution of nonhomogeneous backward heat conduction problem in bounded region, Mathematics and Computers in Simulation, 79(2008), 177-188.

[2] Chu-Li Fu, Fang-Fang Dou, Xiao-Li Feng and Zhi Qian, A simple regularization method for stable analytic continuation, Inverse Problems, 24(2008), 065003(15pp).

[1] Zhi Qian, Chu-Li Fu and Xiao-Li Feng, A modified method for high order numerical derivatives, Applied Mathematics and Computation, 182 (2006), 1191-1200.

主持或参与基金

(5) 陕西省自然科学基础研究计划，面上项目，2024JC-YBMS-034， 三类随机反问题的理论分析与数值重构，2024-1至2025-12，5万，在研，主持

(4) 国家自然科学基金委员会，面上项目，61877046, 有限资源下多层网络鲁棒性的优化，2019-1至2022-12，50万，已结题，参与

(3) 国家自然科学基金委员会，青年项目，11401456，三维椭圆方程Cauchy 问题的正则化方法，2015-1 至2017-12，22 万元，已结题，主持

(2) 国家自然科学基金委员会，面上项目，11171136，不适定问题非经典正则化方法有关问题的研究，2012-1 至2015-12，40 万元，已结题，参与

(1) 国家自然科学基金委员会，数学天元项目，11126187， 柱形区域上变系数椭圆方程Cauchy 问题的数值计算，2012-1 至2012-12，3 万元，已结题，主持

教改论文与教材

零点定理的教学设计，高师理科学刊，38卷，1期，2018年。

关于两道级数题目的推广与思考，高等数学研究，26卷，3期，2023年。

《应用数值分析》，beoplay体育提现出版社，2020年。

《数值分析学习指导与题解》，beoplay体育提现出版社，2022年。

科研教学获奖

2024年获陕西省数学类专业课堂教学竞赛，特等奖

2024年陕西省教学成果奖，二等奖(4/4)

2015年获校青年教师讲课比赛一等奖 

2015年获校优质教学质量奖二等奖 

获校2014-2015年校先进女职工称号 

获校2014-2015年被评为“优秀教师” 

2017年获校教学成果特等奖（3/5） 

2018年获省教学成果一等奖（3/5） 

2022-2023校优质教学质量奖二等奖

2014年获陕西省数学会青年教师优秀论文一等奖 

2016年获陕西高等学校科学技术奖一等奖（6/6） 

2016年获陕西省科学技术奖一等奖（6/7） 

指导本科生多次获得全国大学生数学建模竞赛国家一，二等奖，美国大学生数学建模竞赛国际一，二等奖，研究生数学建模竞赛国家一，二等奖 

教学科研活动

（1）讲授过本科生《高等数学I,II》，《数学分析选讲》，《复变函数》，《微分方程数值解》；研究生《微分方程数值解》，《数值分析》，《计算方法》等课程 

（2）主持校教改项目一项、校示范性特色课程一项，参与教改项目两项，发表教改论文一篇 

（3）在校第三十一个教师节暨表彰大会上，作为学校优秀教师代表在大会上发言，分享了在教学方面的成长过程 

（4）2015年为新入职青年教师进行示范课：“青年教师授课方法与技巧” 

（5）2016年7月2日在“第二届陕西省青年数学教师交流研讨会暨beoplay体育提现应用数学博士点获批二十周年学术研讨会”上作了题为“行走在教学与科研之间”的报告 

（6）2017年8月26日在“第二届全国应用数学研究与教学论坛”上作了题为“浅谈科研与教学相互促进”的报告 

（7）2017年10月26日在西北农林科技大学作题为“有关讲课比赛的一点感想”的报告