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Inverse Problems Activities in China

Inverse Problems Activities in China. Jin Cheng ( 程晋 ) Fudan University. 1950s—1980s. Prof. Feng Kang, Academician, (Academy of Science, China), 1920--1993 Prof. Zhang Guanquan, (Academy of Science, China) Inverse problems for hyperbolic equations with application in geophysics

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Inverse Problems Activities in China

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  1. Inverse Problems Activities in China Jin Cheng (程晋) Fudan University

  2. 1950s—1980s • Prof. Feng Kang, Academician, (Academy of Science, China), 1920--1993 • Prof. Zhang Guanquan, (Academy of Science, China) • Inverse problems for hyperbolic equations with application in geophysics • Prof. Li Tatsien, Academician, (Fudan University) • Prof. Tan Yongji • Inverse problems for elliptic equations with application in well-logging

  3. 1980s--present • There are more 10 research groups working on Theoretical Analysis and Numerical Algorithm for Inverse Problems with Applications. • Fudan University, Shanghai (Prof. Jin Cheng) • Southeast University, Nanjing (Prof. Jijun Liu) • Lanzhou University, Lanzhou (Prof. Ting Wei & Prof. Chuli Fu) • Academy of Science, Beijing (Prof. Bo Zhang & Prof. Yanfei Wang) • Jilin University, Changchun (Prof. Fuming Ma) • Harbin Institute of Technology , Harbin (Prof. Bo Han) • Central South University, Changsha (Prof. Zhenhai Liu) • Nanjing University, Nanjing (Prof. Sixun Huang & Dr. Zhi Qian) • etc

  4. Supports from Chinese Government • Strong support from National Science Foundation of China (NSFC) • Key project (2005—2009), General Projects, • TianYuan projects (2009,2010) • Supports from the Ministry of Science and Technology • 973 projects, etc • Support from other sources • Key project (Shanghai Science Foundation) etc • Scientific Grants (Jiangsu Province)

  5. Research group in Fudan University • Members: • Jin Cheng • Wenbin Chen • Shuai Lu • Yanbo Wang (left to an Internet Game Company in 2007) • Yunxin Zhang • 2 post doc, 6 Ph D students, 3 master students etc

  6. Research Fields (1) • Inverse Problems for elliptic partial differential equations • Uniqueness, Conditional Stability, etc • Inverse Problems for parabolic partial differential equations • Uniqueness, Conditional Stability, Stable Algorithms, etc

  7. Research Fields (2) • Numerical methods for inverse problems • Relations between the conditional stability and Tikhonov regularization • Numerical methods for ill-posed problems • Regularization methods • Parameter identification and optimization • High performance computing

  8. Joint research • Prof. Masahiro Yamamoto, the University of Tokyo, Japan • Prof. Gen Nakamura, Hokkaido University, Japan • Prof. William Rundell, Texas A & M University, USA • Prof. Victor Isakov, Wichita University, USA • Prof. Mourad Choulli, University of Metz, France

  9. Cooperation Institutes • National Earthquake Institute of China, Beijing, China • New Japan Steel Company, Tokyo, Japan

  10. Research Group in Southeast University • Members: • Jijun Liu • Tiejun Cui (Engineering Department) • Jiamu Zheng • Ping Guan • Hongwei Wu • 4 Ph D students, 10 master students

  11. Research Fields • Scattering and Inverse Scattering problems • Probe method, numerical realizations, etc • Mathematical Problems for Magnetic Resonance Imaging (MRI) and MRE • Model analysis, efficient realizations, etc • Numerical Methods for Ill-posed and Inverse Problems • Backward problems for Heat equations , etc • New schemes for choosing the regularizing parameters

  12. Joint research • Prof. G. Nakamura, Hokkaido University, Japan • Prof. M.Yamamoto, University of Tokyo, Japan • Prof. J.K. Seo, Yansei University, Korea • Prof. E.J.Woo, Kyung University, Korea • Dr. M.Sini (RICAM, Austria) • Prof. R.Potthast (University of Reading, UK) • Prof. H.Dietmar (WAIST, Germany)

  13. Research Group in Lanzhou • Members: • Ting Wei • Chuli Fu • Xiangtuan Xiong • 8 Ph D students, 8 master students etc

  14. Research Fields • Numerical Methods for Inverse Problems for Elliptic PDEs and Parabolic Equations • Regularization Methods • Boundary Identification Problems

  15. Joint Research • Prof. Y.C. Hon, City University of Hong Kong, China • Prof. L Ling, Baptist University of Hong Kong • Prof. M.Yamamoto, University of Tokyo, Japan

  16. Research Group in Jilin University • Members: • Prof. Muming Ma • Prof. Deyue Zhang • 5 Ph D students, 4 master students etc

  17. Research Fields • Scattering and Inverse Scattering problems for Helmholtz equations and Maxwell equations • Numerical methods for Inverse Problems • Numerical methods for partial differential equations

  18. Joint Research • Prof. Gang Bao, Michigan State University, USA • Prof. Peijun Li, Purdue University, USA

  19. Research Group in Academy of Science • Members: • Prof. Bo Zhang • Prof. Wensheng Zhang • Prof. Yanfei Wang • 4 Ph D students etc

  20. Research Fields • Direct and Inverse Scattering Problems • Numerical analysis and scientific computing • Partial Differential Equations • Machine Learning: Neural Networks and Support Vector machines

  21. Joint Research • School of Mathematical and Information Sciences, Coventry University, UK * Prof. Bo Zhang is also a Professor of Applied Mathematics in Coventry University

  22. Thanks! 谢谢！

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