Zhi Qian (Associate Professor )
University Address:
22# Hankou Road, Nanjing
Contact:
南京市汉口路22号南京大学数学系/ Department of Mathematics, Nanjing University, 22# Hankou Road, Nanjing
Email:
zqian@nju.edu.cn
Education:
B.Sc., Dept.of Math., Lanzhou University, Jun., 2003, supervisor：Chuli Fu
M.Sc., Dept.of Math., Lanzhou University, Jun., 2005, supervisor：Chuli Fu
Ph.D., Dept.of Math., Lanzhou University, Jun., 2008, supervisor：Chuli Fu
Experience:
Postdoc, Dept. of Math., Nanjing Univ. 2008.6-2010.6, supervisor：Jiangong You
Lecturer, Dept. of Math., Nanjing Univ. 2010.6-2011.12
Associate Professor, Dept.of Math., Nanjing Univ. 2012.1-
Research Interests:
Inverse Problems and Ill-posed Problems in Mathematical Physics
List of Publications:
1. “Time discretization of a tempered fractional {F}eynman-{K}ac
equation with measure data”
Deng, Weihua|Li, Buyang|Qian, Zhi|Wang, Hong
(2018)
SIAM 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.
(2018)
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, Zhi
(2018)
Int. 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, Zhi
(2018)
J. Comput. Appl. Math. 341(2018)
:
1--11.
5. “A new generalized {T}ikhonov method based on filtering idea
for stable analytic continuation”
Qian, Zhi
(2018)
Inverse Probl. Sci. Eng. 26(2018)
:
362--375.
6. “A modified iterative regularization method for ill-posed
problems”
Xiong, Xiangtuan|Xue, Xuemin|Qian, Zhi
(2017)
Appl. Numer. Math. 122(2017)
:
108--128.
7. “A fractional Tikhonov method for solving a Cauchy problem
of Helmholtz equation”
Qian, Zhi|Feng, Xiaoli
(2017)
Appl. 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 Tuan
(2015)
J. 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, Zhi
(2014)
Inverse Probl. Sci. Eng. 22(2014)
:
1045--1061.
10. “Numerical solution of a 2{D} inverse heat conduction problem”
Qian, Zhi|Feng, Xiaoli
(2013)
Inverse 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, Zhi
(2012)
Commun. Appl. Math. Comput. 26(2012)
:
298--311.
12. “Differential-difference regularization for a 2D inverse heat conduction problem”
Qian, Zhi|Zhang, Qiang
(2010)
Inverse Problems 26(2010)
:
095015.
13. “Numerical pseudodifferential operator and {F}ourier
regularization”
Fu, Chu-Li|Qian, Zhi
(2010)
Adv. Comput. Math. 33(2010)
:
449--470.
14. “Wavelets and high order numerical differentiation”
Fu, Chu-Li|Feng, Xiao-Li|Qian, Zhi
(2010)
Appl. Math. Model. 34(2010)
:
3008--3021.
15. “Optimal modified method for a fractional-diffusion inverse
heat conduction problem”
Qian, Zhi
(2010)
Inverse Probl. Sci. Eng. 18(2010)
:
521--533.
16. “Regularization methods for a {C}auchy problem for a parabolic
equation in multiple dimensions”
Qian, Zhi
(2009)
J. 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, Zhi
(2009)
Appl. Numer. Math. 59(2009)
:
2625--2640.
18. “An optimal modified method for a two-dimensional inverse heat
conduction problem”
Qian, Zhi
(2009)
J. 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, Zhi
(2008)
Inverse 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, Liang
(2008)
Gongcheng 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.
(2008)
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, Zhi
(2008)
Appl. 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-Ping
(2008)
J. 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-Li
(2008)
Math. Comput. Simulation 79(2008)
:
177--188.
25. “Semi-discrete central difference method for determining
surface heat flux of {IHCP}”
Qian, Zhi|Fu, Chu-Li
(2007)
J. 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, Zhi
(2007)
J. 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, Zhi
(2007)
Math. Comput. Simulation 75(2007)
:
97--112.
28. “Regularization strategies for a two-dimensional inverse heat conduction problem”
Qian, Zhi|Fu, Chu-Li
(2007)
Inverse Problems 23(2007)
:
1053.
29. “A modified method for determining the surface heat flux of
{IHCP}”
Qian, Z.|Fu, C.-L.|Xiong, X.-T.
(2007)
Inverse Probl. Sci. Eng. 15(2007)
:
249--265.
30. “Fourier regularization for a backward heat equation”
Fu, Chu-Li|Xiong, Xiang-Tuan|Qian, Zhi
(2007)
J. Math. Anal. Appl. 331(2007)
:
472--480.
31. “A modified method for a backward heat conduction problem”
Qian, Zhi|Fu, Chu-Li|Shi, Rui
(2007)
Appl. Math. Comput. 185(2007)
:
564--573.
32. “A modified method for high order numerical derivatives”
Qian, Zhi|Fu, Chu-Li|Feng, Xiao-Li
(2006)
Appl. 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-Tuan
(2006)
Appl. Math. Comput. 180(2006)
:
453--468.
34. “Fourier truncation method for high order numerical
derivatives”
Qian, Zhi|Fu, Chu-Li|Xiong, Xiang-Tuan|Wei, Ting
(2006)
Appl. Math. Comput. 181(2006)
:
940--948.
35. “Two numerical methods for solving a backward heat conduction
problem”
Xiong, Xiang-Tuan|Fu, Chu-Li|Qian, Zhi
(2006)
Appl. 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, Xiang
(2006)
Int. 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-Tuan
(2006)
J. 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-Tuan
(2005)
Int. 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, Zhi
(2005)
Math. Appl. (Wuhan) 18(2005)
:
238--243.