教师信息

钱志
副教授


联系方式


电子邮件
zqian@nju.edu.cn


研究领域
数学物理反问题、不适定问题




办公地址
南京市汉口路22号南京大学数学系/ Department of Mathematics, Nanjing University, 22# Hankou Road, Nanjing




主要课程
微积分I，II（第一层次）; 微积分I，II（第二层次）; 线性代数


个人简介
副教授，硕士生导师，2010.6至今任教于南京大学数学系。




研究方向：数学物理反问题与不适定问题。




2008.6～2010.6 在南京大学数学系从事博士后工作，期间获得中国博士后科学基金面上一等资助及特别资助。




2012.6.24 -2012.9.23, 2013.12.27-2014.2.26作为Research Fellow访问香港城市大学;




2017.1.9-2.8作为Research Fellow 访问香港理工大学




主持国家自然科学基金青年基金，作为主要成员参加3项国家自然科学基金面上项目。




在国际学术刊物《Inverse Problems》》、《Journal of Inverse and Ill-Posed Problems》、《Inverse Problems in Science and Engineering》等杂志上发表论文35篇, 引次数247次（2018.1.10来自《Mathematical Reviews》数据）。





个人主页
链接��
教育经历
1999-2008兰州大学数学系本硕博

工作经历
2012至今南京大学数学系副教授
2010-2012南京大学数学系讲师
2008-2010南京大学数学系博士后



研究兴趣
数值微分；分数阶数值微分；
抛物方程时间反向问题；抛物方程侧边值问题；反常扩散（时间分数阶，空间分数阶）方程反问题
椭圆方程Cauchy问题



学术兼职
《Inverse Problems》, 《Journal of Computational Physics》, 《Inverse Problems in Science and Engineering》等杂志审稿人；

学术奖励

论文
1. “Time discretization of a tempered fractional {F}eynman-{K}ac equation with measure data” Deng, Weihua|Li, Buyang|Qian, Zhi|Wang, HongSIAM J. Numer. Anal. 56(2018): 3249--3275.
2. “A mollification method for a {C}auchy problem for the {H}elmholtz equation” Li, Z. P.|Xu, C.|Lan, M.|Qian, Z.Int. J. Comput. Math. 95(2018): 2256--2268.
3. “An a posteriori wavelet method for solving two kinds of ill-posed problems” Feng, Xiaoli|Qian, ZhiInt. J. Comput. Math. 95(2018): 1893--1909.
4. “A regularization framework for mildly ill-posed problems connected with pseudo-differential operator” Xiong, Xiangtuan|Zhuang, E.|Xue, Xuemin|Qian, ZhiJ. Comput. Appl. Math. 341(2018): 1--11.
5. “A new generalized {T}ikhonov method based on filtering idea for stable analytic continuation” Qian, ZhiInverse Probl. Sci. Eng. 26(2018): 362--375.
6. “A modified iterative regularization method for ill-posed problems” Xiong, Xiangtuan|Xue, Xuemin|Qian, ZhiAppl. Numer. Math. 122(2017): 108--128.
7. “A fractional Tikhonov method for solving a Cauchy problem of Helmholtz equation” Qian, Zhi|Feng, XiaoliAppl. Anal. 96(2017): 1656--1668.
8. “Numerical solution of two-dimensional radially symmetric inverse heat conduction problem” Qian, Zhi|Hon, Benny Y. C.|Xiong, Xiang TuanJ. Inverse Ill-Posed Probl. 23(2015): 121--134.
9. “A quasi-boundary-value method for a {C}auchy problem of an elliptic equation in multiple dimensions” Feng, Xiaoli|Ning, Wantao|Qian, ZhiInverse Probl. Sci. Eng. 22(2014): 1045--1061.
10. “Numerical solution of a 2{D} inverse heat conduction problem” Qian, Zhi|Feng, XiaoliInverse Probl. Sci. Eng. 21(2013): 467--484.
11. “Regularization methods for the sideways heat equation and the idea of modifying the ``kernel'' in the frequency domain” Qian, ZhiCommun. Appl. Math. Comput. 26(2012): 298--311.
12. “Differential-difference regularization for a 2D inverse heat conduction problem” Qian, Zhi|Zhang, QiangInverse Problems 26(2010): 095015.
13. “Numerical pseudodifferential operator and {F}ourier regularization” Fu, Chu-Li|Qian, ZhiAdv. Comput. Math. 33(2010): 449--470.
14. “Wavelets and high order numerical differentiation” Fu, Chu-Li|Feng, Xiao-Li|Qian, ZhiAppl. Math. Model. 34(2010): 3008--3021.
15. “Optimal modified method for a fractional-diffusion inverse heat conduction problem” Qian, ZhiInverse Probl. Sci. Eng. 18(2010): 521--533.
16. “Regularization methods for a {C}auchy problem for a parabolic equation in multiple dimensions” Qian, ZhiJ. Inverse Ill-Posed Probl. 17(2009): 891--911.
17. “The {F}ourier regularization for solving the {C}auchy problem for the {H}elmholtz equation” Fu, Chu-Li|Feng, Xiao-Li|Qian, ZhiAppl. Numer. Math. 59(2009): 2625--2640.
18. “An optimal modified method for a two-dimensional inverse heat conduction problem” Qian, ZhiJ. Math. Phys. 50(2009): 023502, 9.
19. “A simple regularization method for stable analytic continuation” Fu, Chu-Li|Dou, Fang-Fang|Feng, Xiao-Li|Qian, ZhiInverse Problems 24(2008): 065003, 15.
20. “Optimal filtering regularization method for a non-standard backward heat equation” Gao, Xiang|Fu, Chu Li|Qian, Zhi|Xiong, Xiang Tuan|Yan, LiangGongcheng Shuxue Xuebao 25(2008): 35--43.
21. “Fourier regularization method for solving a {C}auchy problem for the {L}aplace equation” Fu, C.-L.|Li, H.-F.|Qian, Z.|Xiong, X.-T.Inverse Probl. Sci. Eng. 16(2008): 159--169.
22. “Two regularization methods for a spherically symmetric inverse heat conduction problem” Cheng, Wei|Fu, Chu-Li|Qian, ZhiAppl. Math. Model. 32(2008): 432--442.
23. “Two regularization methods for a {C}auchy problem for the {L}aplace equation” Qian, Zhi|Fu, Chu-Li|Li, Zhen-PingJ. Math. Anal. Appl. 338(2008): 479--489.
24. “Numerical approximation of solution of nonhomogeneous backward heat conduction problem in bounded region” Feng, Xiao-Li|Qian, Zhi|Fu, Chu-LiMath. Comput. Simulation 79(2008): 177--188.
25. “Semi-discrete central difference method for determining surface heat flux of {IHCP}” Qian, Zhi|Fu, Chu-LiJ. Korean Math. Soc. 44(2007): 1397--1415.
26. “On three spectral regularization methods for a backward heat conduction problem” Xiong, Xiang-Tuan|Fu, Chu-Li|Qian, ZhiJ. Korean Math. Soc. 44(2007): 1281--1290.
27. “A modified {T}ikhonov regularization method for a spherically symmetric three-dimensional inverse heat conduction problem” Cheng, Wei|Fu, Chu-Li|Qian, ZhiMath. Comput. Simulation 75(2007): 97--112.
28. “Regularization strategies for a two-dimensional inverse heat conduction problem” Qian, Zhi|Fu, Chu-LiInverse Problems 23(2007): 1053.
29. “A modified method for determining the surface heat flux of {IHCP}” Qian, Z.|Fu, C.-L.|Xiong, X.-T.Inverse Probl. Sci. Eng. 15(2007): 249--265.
30. “Fourier regularization for a backward heat equation” Fu, Chu-Li|Xiong, Xiang-Tuan|Qian, ZhiJ. Math. Anal. Appl. 331(2007): 472--480.
31. “A modified method for a backward heat conduction problem” Qian, Zhi|Fu, Chu-Li|Shi, RuiAppl. Math. Comput. 185(2007): 564--573.
32. “A modified method for high order numerical derivatives” Qian, Zhi|Fu, Chu-Li|Feng, Xiao-LiAppl. Math. Comput. 182(2006): 1191--1200.
33. “A modified method for a non-standard inverse heat conduction problem” Qian, Zhi|Fu, Chu-Li|Xiong, Xiang-TuanAppl. Math. Comput. 180(2006): 453--468.
34. “Fourier truncation method for high order numerical derivatives” Qian, Zhi|Fu, Chu-Li|Xiong, Xiang-Tuan|Wei, TingAppl. Math. Comput. 181(2006): 940--948.
35. “Two numerical methods for solving a backward heat conduction problem” Xiong, Xiang-Tuan|Fu, Chu-Li|Qian, ZhiAppl. Math. Comput. 179(2006): 370--377.
36. “Error estimates of a difference approximation method for a backward heat conduction problem” Xiong, Xiang-Tuan|Fu, Chu-Li|Qian, Zhi|Gao, XiangInt. J. Math. Math. Sci. (2006): Art. ID 45489, 9.
37. “Fourth-order modified method for the {C}auchy problem for the {L}aplace equation” Qian, Zhi|Fu, Chu-Li|Xiong, Xiang-TuanJ. Comput. Appl. Math. 192(2006): 205--218.
38. “Semidiscrete central difference method in time for determining surface temperatures” Qian, Zhi|Fu, Chu-Li|Xiong, Xiang-TuanInt. J. Math. Math. Sci. (2005): 393--400.
39. “A {F}ourier regularization method with logarithmic stability for a non-standard inverse heat conduction problem” Fu, Chu Li|Zhao, Hua|Qian, ZhiMath. Appl. (Wuhan) 18(2005): 238--243.



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