刘继军

教授

数学学院

计算数学系


电话：


邮箱：
jjliu@seu.edu.cn

地址：
九龙湖校区数学学院529

邮编：
211189




基本信息
研究成果
项目与荣誉
社会兼职
刘继军，男，1965年1月生，博士。东南大学二级教授，博士生导师，享受国务院政府特殊津贴专家。2009,12-2014,11任东南大学数学系主任、东南大学理学部副主任。现任中国工业与应用数学学会常务理事，全国大学生数学建模竞赛组委会委员，江苏省计算数学学会副理事长,东南大学丘成桐中心常务副主任。长期从事数学物理反问题、大规模科学计算和介质成像的数学理论和方法的研究。主持完成国家自然科学基金重大研究计划、面上项目、国际合作项目、天元基金、中国博士后科学基金、江苏省自然科学基金等项目的研究。已在SIAM J. Appl. Math., SIAM J. Sci. Comput., Inverse Problems, Science China Mathematics, J. Comput. Maths., J. Sci. Comput.等发表学术论文130余篇，在科学出版社出版学术专著2本。曾受中国NSFC、德国DAAD、韩国21Brain Project等资助赴国外开展合作研究。现任国际SCI刊物J. Inverse Ill-posed Problems编委。入选江苏省青蓝工程青年骨干教师、中青年学术带头人，江苏省333工程第三层次培养人选。获宝钢教育基金会全国优秀教师一等奖，作为主持人获江苏省教学成果一等奖，江苏省自然科学三等奖，教育部自然科学二等奖。
1989-1998年， 东南大学应用数学系，助教、讲师、副教授；1999-2000年， 中国科学技术大学数学系，博士后研究人员；2001-2002年， 东南大学应用数学系，副教授；2002-现在： 东南大学数学系，教授。2001-2003年， 南京师范大学数学学院，在职博士后研究人员。
1982-1986, 南京工学基础科学系，获理学学士学位；1986-1989，东南大学数学力学系，获理学硕士学位；1995-1997，东南大学电子工程学院，获工学博士学位。



部分发表论文：

93 . J.Cheng, J.J.Liu, An inverse source problem for parabolic equations with local measurements, Appl. Math. Lett., 103, 106213, 2020.
92. C.L.Sun, G.Nakamura, G.Nishimura, Y.Jiang, J.J.Liu, M.Machida, Fast and robust reconstruction algorithm for fluorescence diffuse optical tomography assuming a cuboid target, J. Opt. Soc. Amer., Ser.A., 37(2), 231-239, 2020.
91. C.L.Sun, J.J.Liu, Reconstruction of the space-dependent source from partial Neumann data for slow diffusion system, Acta Mathematicae Applicatae Sinica, English Ser., 36(1), 166-182, 2020.
90. L.Y.Wang, J.J.Liu, On fluorophore imaging by diffusion equation model: decompositions and optimizations, Acta Mathematicae Applicatae Sinica, English Ser., 36(1), 203-222, 2020.
89. D.N.Hao, J.J.Liu, N.V.Duc and N.V.Thang, Stability results for backward time-fractional parabolic equations, Inverse Problems, 35(12), 125006 (25pp), 2019.
88. M.M.Zhang, J.J.Liu, Identification of a time-dependent source term in a distributed-order time-fractional equation from a nonlocal integral observation, Computers and Mathematics with Applications, 78(10), 3375-3389, 2019.
87. J.Cheng, J.J.Liu, B.Zhang, Inverse problems for PDEs: models, computations and applications (in Chinese), Scientia Sinica Mathematica, 49, 643-666, 2019.
86. X.M.Liu, J.J.Liu, On image restoration from random sampling noisy frequency data with regularization, Inverse Problems in Sciences and Engineering, 27(12), 1765-1789, 2019.
85. Y.C.Wang, J.J.Liu, On the edge detection of an image by numerical differentiations for gray function, Mathematical Methods in the Applied Sciences, 41(6), 2466-2479, 2018.
84. J.J.Liu, B.X.Wang, Solving the backward heat transfer problem by homotopy analysis method, Applied Numerical Mathematics, 128, 84-97, 2018.
83. Y.C.Wang, J.J.Liu, Identification of non-smooth boundary heat dissipation by partial boundary data, Appl. Math. Lett., 69, 42-48, 2017.
82. Y.C.Wang, J.J.Liu, On the simultaneous recovery of boundary heat transfer coefficient and initial heat status, J. Inverse and Ill-posed Problems, 25(5), 597-616, 2017.
81. M.Zhong, J.J.Liu, On the reconstruction of media inhomogeneity by inverse wave scattering model, Science China Mathematics, 60(10), 1825-1836, 2017.
80. J.J.Liu, G.Nakamura, Recovering the boundary corrosion from electrical potential distribution using partial boundary data, Inverse Problems and Imaging, 11(3), 521-538, 2017.
79. H.B.Wang, J.J.Liu, An inverse scattering problem with generalized oblique derivative boundary condition, Appl. Numer. Maths., 108, 226-241, 2016.
78. T.X.Li, J.J.Liu, Transmission eigenvalue problem for inhomogeneous absorbing media with mixed boundary condition, Science China Mathematics, 59(6), 1081-1094, 2016.
77. J.J.Liu, Y.C.Wang, On the reconstruction of boundary impedance of a heat conduction system from nonlocal measurement, Inverse Problems, 32(7), 075002, 2016.
76. B.X.Wang, J.J.Liu, Recovery of thermal conductivity in two-dimensional media with nonlinear source by optimizations, Appl. Math. Lett., 60, 73-80, 2016.
75. L.Y.Wang, B.Zhou, J.J.Liu, Simultaneous recovery of the temperature and species concentration from integral equation model, Appl. Math. Model., 40(4), 3090-3103, 2016.
74. J.J.Liu, M.Yamamoto, L.L.Yan, On the reconstruction of unknown time-dependent boundary sources for time fractional diffusion process by distributing measurement, Inverse Problems, 32(1), 015009, 2016.
73. H.B.Wang, J.J.Liu, The two-dimensional direct and inverse scattering problems with generalized oblique derivative boundary condition, SIAM J. Appl. Math., 75(2), 313-334, 2015.
72. T.X.Li, W.Q.Huang, W.W.Lin, J.J.Liu, On spectral analysis anda novel algorithm for transmission eigenvalue problems, J. Sci. Comput., 64, 83-108, 2015.
71. J.J.Liu, M.Yamamoto, L.Yan, On the uniqueness and reconstruction for an inverse problem of the fractional diffusion process, Appl. Num. Math., 87(1), 1-19, 2015.
70. M.Yang, J.J.Liu, Fourier regularization for a final value time-fractional diffusion problem, Applicable Analysis, 94(7), 1508-1526, 2015.
69. Y.Q.Hu, F.Cakoni, J.J.Liu, The inverse scattering problem for a partially coated cavity with interior measurements, Applicable Analysis, 93(5), 936-956, 2014.
68. Q.Chen, J.J.Liu, On the error estimate of the harmonic $B_z$ algorithm in MREIT from noisy magnetic flux field, Chinese Anns. Math. (Ser.B), 35(3), 319-336, 2014.
67. L.Y.Wang, J.J.Liu, Total variation regularization for backward time-fractional diffusion problem, Inverse Problems, 29(11), 115013, 2013.
66. J.J.Liu, H.F.Zhao,On the reconstruction of obstacle using MFS from the far field data, Inverse Problems in Science and Engineering, 21(4), 682-703,2013.
65. H.L.Xu, J.J.Liu, On theLaplacian operation by Lavrentiev regularization with applications in medical imaging, Inverse Problems in Science and Engineering, 21(2), 251-268, 2013.
64.M.Yang, J.J.Liu, Solving a final value fractional evolution problem by boundary condition regularization, Appl. Numer. Math., 66, 45-58, 2013.
63. H.B.Wang, J.J.Liu, On decomposition method for acoustic wave scattering by multiple obstacles, Acta Mathematica Scientia, 33B(1), 1-22, 2013.
62. H.F.Zhao, L.Yan, J.J.Liu, On the interface identification of free boundary problem by method of fundamental solution, Numerical Linear Algebra with Applications, 20(2), 385-396, 2013.
61. H.B. Wang, J.J. Liu, A decomposition scheme for acoustic obstacle scattering in a multilayered medium, Applicable Analysis, 92(4), 831-854, 2013.
60. B.Wu, J.J.Liu, Determination of an unknown source for a thermoelastic system with memory effect, Inverse Problems, 28(9), 095012, 2012.
59. Z.W.Wang, J.J.Liu, Identification of the pollution source from 1-dimensional parabolic equation models, Applied Mathematics and Computation, 219(8), 3403-3413, 2012.
58. L.Y.Wang, J.J.Liu, Data regularization for a backward time-fractional diffusion problem, Computers and Mathematics with Applications, 64(11), 3613-3626, 2012.
57. Q.Chen, J.J.Liu, Solving the backward heat conduction problem by data fitting with multiple regularizing parameters, J. Comput. Math., 30(4), 418-432, 2012.
56. Dietmar Homberg, Jijun Liu, Nataliya Togobytska, Identification of the thermal growth characteristics of coagulated tumor tissue in laser-induced thermotherapy, Mathematical Methods in the Applied Sciences, 35(5), 497-509, 2012.
55. H.B.Wang, J.J.Liu, On the reconstruction of surface impedance from the far-field data in inverse scattering problems, Applicable Analysis, 91(4), 787-806, 2012.
54. H.B.Wang, J.J.Liu, Recovering the Dirichlet-to-Neumann map in inverse scattering problems using integral equation methods, Advances in Computational Mathematics, 36(2), 279-297, 2012.
53. J.J.Liu, H.L.Xu, Reconstruction of biologic tissue conductivity from noisy magnetic field by integral equation method, Applied Mathematics and Computation, 218(6), 2647-2660, 2011.
52. B.Wu, J.J.Liu, Conditional stability and uniqueness for determining two coefficients in a hyperbolic-parabolic system, Inverse Problems, 27(7), 075013, 2011.
51. B.Wu, J.J.Liu, A global in time existence and uniqueness result for an integrodifferential hyperbolic inverse problem with memory effect, J. Math. Anal. Appl., 373(2), 585-604, 2011.
50. J.J.Liu, P.A. Krutitskii,M.Sini, Numerical solution of the scattering problem for acoustic waves by a two-sided crack in 2-dimensional space, J. Comput. Math., 29(2),141-166, 2011.
49. J.J.Liu, M.Yamamoto, A backward problem for the time-fractional diffusion equation, Applicable Analysis, 89(11), 1769-1788, 2010.
48. J.J.Liu, J.K.Seo, E.J.Woo, A posteriorierror estimate and convergence analysis for conductivity image reconstruction in MREIT, SIAM J. Appl. Math., 70(8),2883-2903, 2010.
47.H.L.Xu, J.J.Liu, Stable numerical differentiation for the second order derivatives, Advances in Computational Mathematics, 33(4), 431-447, 2010.
46. H.B.Wang, J.J.Liu, On the reconstruction of Dirichlet-to-Neumann map in inverse scattering problems with stability estimates, Science China Mathematics, 53(8), 2069-2084, 2010.
45. J.J.Liu, M.Sini, Reconstruction of cracks of different types from far field measurements, Mathematical Methods in the Applied Sciences, 33(8), 950-973, 2010.
44. Z.W.Wang, J.J.Liu, New model function methods for determining regularization parameters in linear inverse problems, Appl. Numer. Math., 59(10), 2489-2506, 2009.
43. J.J.Liu, M.Sini, On the accuracy of the numerical detection of complex obstacles from far field data using the probe method, SIAM J. Sci. Comput., 31(4), 2665-2687, 2009.
42. J.Cheng, J.J.Liu, G.Nakamura, S.Z.Wang, Recovery of multiple obstacles by probe method, Quart. Appl. Math., 67(2), 221-247, 2009.
41. J.J.Liu, R.Potthast, On the duality of the potential method and point source method in inverse scattering problems, J. Integral Equations and Applications, 21(2), 297-315, 2009.
40. Y.Daido, Y.Lei, J.J.Liu, G.Nakamura, Numerical implementations of dynamical probe method for non-stationary heat equation, Applied Mathematics and Computation, 211(2), 510-521, 2009.
39. Q.Chen, B.Z.Huang, J.J.Liu, An inverse problem for conductivity imaging with regularization, JiShuan ShuXue, 31(1), 51-64, 2009.
38. P.A.Krutitskii, J.J.Liu, M.Sini, Reconstruction of complex cracks by far field measurements, 6th Int. Confer. Inverse Problems in Engineering: Theory and Practice, J. Physics: Conference Series, 135, doi:10.1088/1742-6596/135/1/012056, 2008.
37. J.Cheng, J.J.Liu, A quasi Tikhonov regularization for 2-dimensional backward heat problem by fundamental solution, Inverse Problems, 24(6), (18pp), 2008.
36. J.K.Seo, S.W.Kim, S.Kim, J.J.Liu, E.J.Woo, K.Jeon, C.O.Lee, Local harmonic B_z algorithm with domain decomposition in MREIT: computer simulation, IEEE Trans. Med. Imag., 27(12), 1754-1761, 2008.
35. J.J.Liu, M.Ni, A model function method for determining the regularizing parameter in potential approach for the recovery of scattered wave, Appl. Numer. Math., 58(8), 1113-1128, 2008.
34. J.X.Su, J.J.Liu, A splitting algorithm for the coefficient inversion of1-dimensional parabolic equation, Jisuan Shuxue, 30(1), 99-112, 2008.
33. H.B.Wang, J.J.Liu, Numerical realization of probe method for multiple obstacle, Jisuan Shuxue, 29(2), 189-202, 2007.
32. J.J.Liu, J.K.Seo, E.J.Woo, On the conductivity imagining by MREIT: available resolution and noise effect, Inverse Problems in Applied Science-Towards Breakthrough, J. Physics: Conference Series, 73, 2007.
31. Li Gongsheng, Cheng Jin, Yao De, Liu Hongliang, Liu Jijun, One-dimensional equilibrium model and source parameter determination for soil-column experiment, Applied Mathematics and Computation, 190(2), 1365-1374, 2007.
30. H.B.Wang, J.J.Liu, Numerical solution for the Helmholtz equation with mixed boundary condition, Numerical Mathematics A Journal of Chinese Universities, 16(3), 203-214, 2007.
29. J.J.Liu, J.K.Seo, M.Sini, E.J.Woo, On the convergence of the harmonic $B_z$ algorithm in magnetic resonance electrical impedance tomography, SIAM J. Appl. Math., 67(5), 1259-1282, 2007.
28. J.J.Liu, G.Nakamura, M.Sini, Reconstruction of the shape and surface impedance from acoustic scattering data for arbitrary cylinder, SIAM J. Appl. Math., 67(4), 1124-1146, 2007.
27. F.B.Hassen, J.J.Liu, R.Potthast, On source analysis by wave splitting with applications ininverse scattering of multiple obstacles, J. Comput. Math., 25(3), 266-281, 2007.
26. J.J.Liu, G.Nakamura, R.Potthast, A new approach and improved error analysis for reconstructing the scattered wave by the point source method, J. Comput. Math., 25(2), 113-130, 2007.
25. M.Yuan, J.J.Liu, Numerical realization of probe method for 2-D inverse scattering, Jisuan Shuxue, 28(2), 189-200, 2006.
24. Q.Cheng, J.J.Liu, Solving an inverse parabolic problem by optimization from final measurement data, J. Computational and Applied Mathematics, 193(1), 183-203, 2006.
23. J.J.Liu, H.C.Pyo, J.K.Seo, E.J.Woo, Convergence properties and stability issues in the MREIT algorithm, Contemporary Mathematics, AMS, 408, 201-218, 2006.
22. J.J.Liu, On uniqueness and linearization of an inverse electromagnetic scattering problem, Applied Mathematics and Computation, 171(1), 406-419, 2005.
21. J.X.Su, J.J.Liu, Reconstruction of density and wave velocity from reflection and transmission data, J. Southeast University (English Edition), 21(2), 233-238, 2005.
20. J.J.Liu, Inverse scattering problems by singular source methods, Numerical Mathematics A Journal of Chinese Universities, 14(3), 193-207, 2005.
19. H.Li, J.J.Liu, Solving backward heat problem by Morozov discrepancy principle and conditional stability, Numerical Mathematics A Journal of Chinese Universities, 14(2), 180-192, 2005.
18. J.Cheng, J.J.Liu, G.Nakamura, The numerical realization of the probe method for the inverse scattering problems from the near field data, Inverse Problems, 21(3), 839-855, 2005.
17. J.J.Liu, Determination of Dirichlet-to-Neumann map for a mixed boundary problem,Applied Mathematics and Computation, 161(3), 843-864, 2005.
16. J.J.Liu, J.K.Seo, On stability for a translated obstacle with impedance boundary, Nonlinear Analysis-TMA, 59(5), 731-744, 2004.
15. J.J.Liu, J.Cheng, G.Nakamura, Reconstruction of scattered field from far-field by regularization, J. Comput. Math., 22(3), 389-402, 2004.
14. J.Cheng, J.J.Liu, G.Nakamura, Recovery of the shape of an obstacle and the boundary impedance from the far-field pattern, J. Math. Kyoto Univer., 43(1), 165-186, 2003.
13. J.J.Liu, Continuous dependance for a backward parabolic problem, J. Partial Differential Equations, 16(3), 211-222, 2003.
12. J.J.Liu, D.J.Lou, On stability and regularization for backward heat equation, Chinese Annals of Mathematics, 24(1), Ser.B, 35-44, 2003.
11. Liu Jijun, The 3-layered explicit difference scheme for 2-D heat equation, Applied Mathematics and Mechanics, 24(5), 605-613, 2003.
10. J.Cheng, J.J.Liu, G.Nakamura, Inverse scattering for multiple obstacles, Theoretical and Applied Mechanics Japan, 51, 401-410, 2002.
9. J.J.Liu, Numerical solutions of forward and backward heat equations, J. Computational and Applied Mathematics, 145(2), 459-482, 2002.
8. Jijun Liu, Linearlization ill-posedness for 2.5-d wave equation inversion model, Acta Mathematicae Applicatae Sinica, English Ser., 18(2), 219-230, 2002.
7. Liu Jijun, Cheng Jin, G. Nakamura, Reconstruction and uniqueness of an inverse scattering problem with impedance boundary, Science in China, Ser.A, 45(11), 1408-1419, 2002.
6. Liu Jijun, Determination of temperature field for backward heat equation, Comm. Korea Math. Society, 16(3), 385-397, 2001.
5. Liu Jijun, Recovery of boundary impedance coefficient in 2-D media, Chinese J. Numer. Math. Appl., 23(2), 111-120, 2001.
4. Liu Jijun, On the ill-posedness of the 2.5-d linearized density inversion model, Inverse Problems, 16(6), 1861-1874, 2000.
3. Liu Jijun, Inverse scattering for the problem with impedance-type boundary, J. Partial Differential Equations, 13(3), 279-288, 2000.
2. Liu Jijun, Wang Yuanming, Reconstruction of mobilities for electrons and holes in semiconductors, J. Partial Differential Equations, 12(4), 289-300, 1999.
1. Liu Jijun, Wang Yuanming, On uniqueness of an inverse problem for a 1-d wave equation from transmission data, SIAM J. Appl. Math., 57(1), 195-204, 1997.

出版专著：

1. 刘继军，不适定问题的正则化方法和应用，信息与计算科学丛书，Vol.36, 科学出版社， 2005，北京。

2. 刘继军，现代数值计算方法，信息与计算科学丛书，Vol.47, 科学出版社，2009，北京。

国内外学术交流：

1997,07-1997,10 中国科学院晨星数学中心，访问****（副教授）

2001,10-2003,09 南京师范大学数学学院，在职博士后

2002,07-2002,12 Dept. Math., Yonsei University, Research Professor

2003,07-2003,12 Dept. Math., Michigen State University, Visiting Scholar (NSFC)

2005,05-2005,07 School Biomedical Science, Kyung Hee University, Visiting Professor
2006,03-2006,06 Dept. Math., Yonsei UNiversity, Research Professor

2006,07-2006,09 复旦大学数学科学学院，访问教授

2006,11-2007,01 Dept. Math., Universitat Gottingen,Visiting Professor(DAAD)

2007,07-2007,09 Dept. Math., Yonsei University, Research Professor

2007,11-2008,01 RICAM of Austria,Research Professor

2008,12-2009,02 School of Math., The University of Tokyo, Visiting Professor
2009,06-2009,07 Weierstrass Inst. Appl. Anal. Stat.,Visiting Professor

2011,06-2011,07 Weierstrass Inst. Appl. Anal. Stat.,Visiting Professor

2015,02-2015,03 School of Math., The University of Tokyo, Visiting Professor

2016,04-2016,05 Dept. Math., Hong Kong Baptist University,Visiting Professor

2016,08-2016,09 Dept. Math., Michigen Technical University,Visiting Professor
2018,01-2018,03 School of Math., The University of Tokyo, Visiting Professor





主持国家、省部级各类自然科学基金项目：(1). 2002,10-2003,10,中国博士后科学基金，椭圆型方程反问题的探测方法(No.).(2). 2004,01-2006,12，国家自然科学基金面上项目，偏微分方程反问题的正则化方法及数值解(No.**).(3). 2007,08-2009,07,江苏省自然科学基金面上项目，微分方程系数反问题及在医学成像中的应用，No.BK**.(4). 2008,01-2010,12,国家自然科学基金面上项目，椭圆型方程反问题及数值解(No.**).(5). 2009,01-2009,12,国家自然科学基金天元专项，生物医学成像中的一类偏微分方程反问题(No.**).(6). 2009,06-2011,05,国家自然科学基金中韩合作项目, Numerical realizations of magnetic resonance electrical impedance tomography(No.).(7). 2010,01-2010,12,国家自然科学基金天元专项(连续资助)，核磁共振成像中的降噪技术和数值方法(No.**).(8). 2011,01-2013,12,国家自然科学基金面上项目，椭圆型方程边界反演及在逆散射中的应用(No.**).(9). 2011,01-2013,12,国家自然科学基金中德芬合作项目，带有阻尼边界条件的逆散射问题(No.).(10). 2011,11-2014,10,江苏省自然科学基金面上项目，复杂散射体的逆散射问题及数值解(No.BK**).(11). 2012,01-2014,12,教育部高等学校博士点基金（博导类），医学成像中的一类数学物理反问题及数值解(No.018).(12). 2014,01-2016,12,国家自然科学基金重大研究计划，基于偏微分方程的介质成像和图像处理的数值方法(No.**).(13). 2020,01-2023,12,国家自然科学基金面上项目, 基于抛物型方程反问题的扩散过程的参数反演及应用(No.**).另外，2014年参加NSFC中日韩A3前瞻计划项目“应用反问题的计算和建模”中方团队(浙江大学，复旦大学，东南大学)；2015年参加NSFC重点基金项目“基于图像处理的病灶识别的数学方法和理论”(南京理工大学，东南大学，成都电子科大)。各类获奖：


2011：宝钢教育基金会优秀教师一等奖。
2012：江苏省自然科学三等奖，主持人。
2013：江苏省教学成果一等奖，主持人。
2015：入选享受国务院特殊津贴专家。
2017：教育部自然科学二等奖，主持人。
2019：东南大学十佳研究生导师。









2007,01-2010,12：江苏省工业与应用数学学会秘书长(第四届)2011,01-2014,12：江苏省工业与应用数学学会理事长(第五届)2015,01-2018,12：江苏省工业与应用数学学会理事长(第六届)2011,01-2014,12：江苏省计算数学学会副理事长(第一届)2015,01起：江苏省计算数学学会副理事长(第二届)2011,08起：中国工业与应用数学学会常务理事2016,08起：中国工业与应用数学学会常务理事2011,01-2014,12：中国计算数学学会常务理事(第七届)2015,01-2019,12：中国计算数学学会常务理事(第八届)2015,01-2019,12：中国计算数学学会高等学校工作委员会秘书长2004,01起：韩国庆熙大学IIRC客座研究员2012,01-2017,12：国际SCI刊物Inverse Problems in Sciences and Engineering 编委2012,01起：高等学校计算数学学报 编委2013,08-2017,12： 西交利物浦大学External Examiner2013,08起：全国大学生数学建模竞赛组织委员会委员2016,08起：全国大学生数学建模竞赛组织委员会委员2016,08起：中国工业与应用数学学会数学建模竞赛工作委员会委员
2017,07 起：东南大学丘成桐中心常务副主任
2018,01 起：国际SCI刊物J. Inverse and Ill-posed Problems编委