Bo Zhang
 Professor of Mathematics
 Institute of Applied Mathematics
 Academy of Mathematics and Systems Science
 Chinese Academy of Sciences
 Beijing 100080, China

Professional

• Professor of Mathematics
  Institute of Applied Mathematics, Academy of Mathematics and Systems
  Science, Chinese Academy of Sciences, China
  (Aug. 2004-Present)
• Professor of Applied Mathematics
  School of Mathematical and Information Sciences, Coventry University
  (Sept. 2003-Present)
• Reader in Applied Mathematics
  School of Mathematical and Information Sciences, Coventry University
  (Sept. 2000-August 2003)
• Visiting Research Fellow
  Department of Electronic Engineering, City University of Hong Kong
  (Nov. 1999-Sept. 2000) (on leave)
• Senior Lecturer
  School of Mathematical and Information Sciences, Coventry University
  (Nov. 1997-Aug. 2000)
• Research Fellow
  Department of Mathematics and Statistics, Brunel University, England
  (Jan. 1995-Oct. 1997)
• Research Fellow
  Department of Mathematics, Keele University, England
  (Jan. 1992-Dec. 1994)
• Lecturer
  Department of Mathematics, Xi'an Jiaotong University, China
  (Dec. 1985-April 1988)

Education

• Ph.D., Department of Mathematics, University of Strathclyde, UK, July 1992
• M.Sc., Department of Mathematics, Xi'an Jiaotong University, China, Dec. 1985
• B.Sc., Department of Mathematics, Shandong University, China, July 1983

Memberships

• The American Mathematical Society
• The London Mathematical Society
• The Society for Industral and Applied Mathematics

Interests

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

Research Grants

• Singular Integral Equations on Infinite Domains with Application to Scattering by Infinite Lipschitz Surfaces. EPSRC, 2000-2002.
• Cauchy Problems and Scattering Theory for Nonlinear Wave and Dispersive Wave Equations (Royal Fellowship Grant). Royal Society, 2000-2001.

Former Research Students

• Zhongqiang Xie. PhD awarded December 2001 from Coventry University. ``Fourth-Order Finite Difference Methods for the Time-Domain Maxwell Equations with Applications to Scattering by Rough Surfaces and Interfaces''. Coventry University funded. (Now Postdoc at the University of Wales Swansea.)

Current Research Students

• Liping Gao. PhD Student: ``High-Accuracy Finite Difference Methods for the Time-Domain Maxwell Equations in Complex Geometries''. Full-time (since 1/2002), funded by Coventry University.
• Zhiyong Xiong. PhD Student: ``Support Vector Machines in Machine Learning''. Full-time (since 2/2003), funded by Coventry University.

Selected Recent Publications (Click here for more details)

1. Z. Xu, H. Qiao, J. Peng and Bo Zhang, A comparative study on two modelling approaches in neural networks, Neural Networks 17(2004), 73-85.

2. C. Miao and Bo Zhang, The Cauchy problem for semilinear parabolic equations in Besov spaces, Houston J. Math. 30 (2004), 829-878.

3. C. Miao, Bo Zhang and D. Fang, Global well-posedness for the Klein-Gordon equations below the energy norm, J. Partial Differ. Equations 17(2004), 97-121.

4. D. Liang and Bo Zhang, Numerical analysis of graded mesh methods for a class of second kind integral equations on the real line, J. Math. Anal. Appl. 294(2004), 482-502.

5. L. Gao, D. Liang and Bo Zhang, Error estimates for mixed finite element approximations of the viscoelasticity wave equation, Math. Methods Appl. Sci. (2004), in press.

6. C. Miao and Bo Zhang, H^s-global well-posedness for semilinear wave equations, J. Math. Anal. Appl. 283(2003), 645-666.

7. C. Miao, Bo Zhang & X. Zhang, Self-similar solutions for nonlinear Schrodinger equations, Methods Applications Analysis 10(2003), 119-136.

8. H. Qiao, J. Peng, Z. Xu and Bo Zhang, A reference model approach to stability analysis of neural networks, IEEE Trans. Systems, Man and Cybernetics B33(2003), 925-936.

9. M. Xia, C.H. Chan, S. Li, Bo Zhang and L. Tsang, An efficient algorithm for electromagnetic scattering from rough surfaces using a single integral equation and the sparse-matrix canonical-grid method, IEEE Trans. Antennas Propagation AP-51 (2003), 1142-1149.

10. Bo Zhang and S.N. Chandler-Wilde, Integral equation methods for scattering from infinite rough surfaces, Math. Methods Appl. Sci. 26(2003), 463-488.

11. S.N. Chandler-Wilde and Bo Zhang, A generalised collectively compact operator theory with an application to integral equations on unbounded domains, J. Integral Equations Appl. 14(2002), 11-52.

12. Z. Xie, C.H. Chan and Bo Zhang, An explicit fourth-order orthogonal curvilinear staggered grid FDTD method for Maxwell's equations, J. Comput. Phys. 175 (2002), 739-763.

13. Z. Xie, C.H. Chan and Bo Zhang, An explicit fourth-order staggered finite-difference time-domain method for Maxwell's equations, J. Comput. Appl. Math. 147(2002), 75-98.

14. S. Li, C.H. Chan, M. Xia, Bo Zhang & L. Tsang, Multilevel expansion of the sparse-matrix canonical grid method for two-dimensional random rough surfaces,IEEE Trans. Antennas Propagation AP-49 (2001), 1579-1589.

15. Bo Zhang, Commutator estimates, Besov spaces and scattering problems for the acoustic wave propagation in perturbed stratified media, Math. Proc. Cambridge Philos. Soc. 128(2000), 177-192.

16. S.N. Chandler-Wilde, Bo Zhang and C.R. Ross, On the solvability of second kind integral equations on the real line, J. Math. Anal. Appl. 245(2000), 28-51

17. 17. S.N. Chandler-Wilde, C.R. Ross and Bo Zhang, Scattering by infinite one-dimensional rough surfaces, Proc. R. Soc. London A455(1999), 3767-3787

18. S.N. Chandler-Wilde and Bo Zhang, Scattering of electromagnetic waves by rough interfaces and inhomogeneous layers, SIAM J. Math. Anal. 30(1999), 559-583.

19. D. Liang and Bo Zhang, A finite element method for a unidimensional single-phase nonlinear free boundary problem in groundwater flow, IMA J. Numer. Anal. 19 (1999), 563-581.

20. S.N. Chandler-Wilde and Bo Zhang, Electromagnetic scattering by an inhomogeneous conducting or dielectric layer on a perfectly conducting plate, Proc. R. Soc. London A454(1998), 519-542.

21. S.N. Chandler-Wilde and Bo Zhang, A uniqueness result for scattering by infinite rough surfaces, SIAM J. Appl. Math. 58 (1998), 1774-1790.

22. Bo Zhang and S.N. Chandler-Wilde, Acoustic scattering by an inhomogeneous layer on a rigid plate, SIAM J. Appl. Math. 58 (1998), 1931-1950.

23. Bo Zhang, Radiation condition and limiting amplitude principle for acoustic propagators with two unbounded media, Proc. Roy. Soc. Edinburgh 128A(1998), 173-192.