Publications in Journals

  1. A Huang and B Zhang,
    Convergence of the nodal expansion methods for the multigroup neutron diffusion problems.
    J. Xi'an Jiaotong University 23 (1989), 7-19.
  2. B Zhang,
    Uniqueness theorems for the reduced wave equation with two unbounded media.
    Chinese J. Enging. Math. 8 (1991), 46-54.
  3. G F Roach and B Zhang,
    On transmission problems for the Schroedinger equation.
    SIAM J. Math. Anal. 22 (1991), 991-1006.
  4. Z Xu, B Zhang and G F Roach,
    On the steepest descent approximation to solutions of nonlinear strongly accretive operator equations.
    J. Comput. Math. 10 (1992), 173-182.
  5. G F Roach and B Zhang,
    A transmission problem for the reduced wave equation in inhomogeneous media with an infinite interface.
    Proc. R. Soc. London A436 (1992), 121-140.
  6. G F Roach and B Zhang,
    On Sommerfeld radiation conditions for the diffraction problem with two unbounded media.
    Proc. Roy. Soc. Edinburgh 121A (1992), 149-161.
  7. G F Roach and B Zhang,
    The limiting amplitude principle for wave propagation problems with two unbounded media.
    Math. Proc. Cambridge Philos. Soc. 112 (1992), 207-223.
  8. A Huang and B Zhang,
    Convergence for the nodal expansion method.
    Appl. Math. J. Chinese Universities B8 (1993), 135-149.
  9. G F Roach and B Zhang,
    Spectral representation and scattering theory for the wave equation with two unbounded media.
    Math. Proc. Cambridge Philos. Soc. 113 (1993), 423-447.
  10. B Zhang,
    On transmission problems for wave propagation in two locally perturbed half-spaces.
    Math. Proc. Cambridge Philos. Soc. 115 (1994), 545-558.
  11. B Zhang and I D Abrahams ,
    The radiation of sound from a finite ring-forced cylindrical elastic shell. I: Wiener-Hopf analysis.
    Proc. R. Soc. London A450 (1995), 89-108.
  12. B Zhang,
    On the limiting absorption and amplitude principles for transmission problems with unbounded interfaces.
    Math. Proc. Cambridge Philos. Soc. 122 (1997), 343-356.
  13. S N Chandler-Wilde and B Zhang,
    On the solvability of a class of second kind integral equations on unbounded domains.
    J. Math. Anal. Appl. 214 (1997), 482-502. [PS]
  14. S N Chandler-Wilde and B Zhang,
    Electromagnetic scattering by an inhomogeneous conducting or dielectric layer on a perfectly conducting plate.
    Proc. R. Soc. London A454 (1998), 519-542.
  15. B Zhang,
    Radiation condition and limiting amplitude principle for acoustic propagators with two unbounded media.
    Proc. Roy. Soc. Edinburgh 128A (1998), 173-192.
  16. S N Chandler-Wilde and B Zhang,
    A uniqueness result for scattering by infinite rough surfaces.
    SIAM J. Appl. Math. 58 (1998), 1774-1790.
  17. B Zhang and S N Chandler-Wilde ,
    Acoustic scattering by an inhomogeneous layer on a rigid plate.
    SIAM J. Appl. Math. 58 (1998), 1931-1950.
  18. S N Chandler-Wilde and B Zhang,
    Scattering of electromagnetic waves by rough interfaces and inhomogeneous layers.
    SIAM J. Math. Anal. 30 (1999), 559-583.
  19. D Liang and B 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, C Ross and B Zhang,
    Scattering by infinite one-dimensional rough surfaces.
    Proc. R. Soc. London A455 (1999), 3767-3787. [PDF]
  21. Y Ren, B Zhang and H Qiao,
    A simple Taylor-series expansion method for a class of second kind integral equations.
    J. Comput. Appl. Math. 110 (1999), 15-24. [PDF]
  22. B Zhang,
    Commutator estimates, Besov spaces and scattering problems for the acoustic wave propagation in perturbed stratified fluids.
    Math. Proc. Cambridge Philos. Soc. 128 (2000), 177-192. [PDF]
  23. H Qiao and B Zhang,
    Combination of strategy investigation and utilization of sensor signals in robotic assembly.
    Proc. IMechE, J. Enging. Manufacture B214 (2000), 657-669.
  24. H Qiao, Y Ren and B Zhang,
    Approximate solution of a class of radiative heat transfer problems.
    ASME J. Heat Transfer 122 (2000), 606-612.
  25. S N Chandler-Wilde, B Zhang and C Ross,
    On the solvability of second kind integral equations on the real line.
    J. Math. Anal. Appl. 245 (2000), 28-51.
  26. S Li, C H Chan, M Xia, B Zhang and L Tsang,
    Multilevel expansion of the sparse matrix canonical grid method for 2D random rough surfaces.
    IEEE Trans. Antennas Propagation AP-49 (2001), 1579-1589.
  27. Z Xie, C H Chan and B Zhang,
    An explicit fourth-order staggered finite-difference time-domain method for Maxwell's equations.
    J. Comput. Appl. Math. 147 (2002), 75-98.
  28. Z Xie, C H Chan and B Zhang,
    An explicit fourth-order orthogonal curvilinear staggered grid FDTD method for Maxwell's equations.
    J. Comput. Phys. 175 (2002), 739-763.
  29. S N Chandler-Wilde and B Zhang,
    A generalised collectively compact operator theory with an application to integral equations on unbounded domains.
    J. Integral Equations Appl. 14 (2002), 11-52.
  30. B Zhang and S N Chandler-Wilde,
    Integral equation methods for scattering by infinite rough surfaces.
    Math. Methods Appl. Sci. 26 (2003), 463-488.
  31. M Xia, C H Chan, S Li, B Zhang and L Tsang,
    An efficient algorithm for electromagnetic scattering from rough surfaces using a single integral equation and multilevel sparse-matrix canonical-grid method.
    IEEE Trans. Antennas Propagation AP-51 (2003), 1142-1149.
  32. C Miao and B Zhang,
    H^s-global well-posedness for semilinear wave equations.
    J. Math. Anal. Appl. 283 (2003), 645-666.
  33. C Miao, B Zhang and X. Zhang,
    Self-similar solutions for nonlinear Schroedinger equations.
    Methods & Applications of Analysis 10 (2003), 119-136.
  34. H Qiao, J Peng, Z Xu and B Zhang,
    A reference model approach to stability analysis of neural networks.
    IEEE Trans. Systems, Man and Cybernetics B33 (2003), 925-936.
  35. Z Xu, H Qiao, J Peng and B Zhang,
    A comparative study on two modelling approaches in neural networks.
    Neural Networks 17 (2004), 73-85.
  36. C Miao and B Zhang,
    The Cauchy problem for semilinear parabolic equations in Besov spaces.
    Houston J. Math. 30 (2004), 829-878.
  37. L Gao, D Liang and B Zhang,
    Error estimates for mixed finite element approximations of the viscoelasticity wave equation.
    Math. Methods Appl. Sci. 27 (2004), 1997-2016.
  38. D Liang and B 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.
  39. C Miao, B Zhang and D Fang,
    Global well-posedness for the Klein-Gordon equation below the energy norm.
    J. Partial Differential Equations 17 (2004), 97-121.
  40. J Peng, Z Xu, H Qiao and B Zhang,
    A critical analysis on global convergence of Hopfield-type neural networks.
    IEEE Trans. Circuits Systems I: Fundamental Theory 52 (2005), 804-814.
  41. L.P. Castro and B Zhang,
    Invertibility of covolution operators arising in problems of wave diffraction by a strip with reactance and Dirichlet conditions.
    Journal for Analysis & Its Application 24 (2005), 545-560.
  42. C Miao and B Zhang,
    Besov spaces and self-similar solutions of nonlinear evolution equations.
    J. Partial Differential Equations 19 (2006), 26-47.
  43. C Miao, X. Zhang and B Zhang,
    A note on self-similar solutions of the Schroedinger equation.
    J. Nonlinear Studies (2006), in press.
  44. C Miao and B Zhang,
    Global well-posedness of the Cauchy problem for nonlinear equations of the Schroedinger type.
    Discret Continuous Dynamic Systems, Seris A (2006), in press.
  45. C Miao, B Yuan and B Zhang,
    Strong solutions to the nonlinear heat equation in homogeneous Besov spaces.
    Nonlinear Analysis, TMA (2006), in press.
  46. L Gao, B Zhang and D Liang,
    The splitting finite-difference time-domain methods for the Maxwell equations in two dimensions.
    J Comput. Appl. Math. (2006), in press.
  47. L Gao, B Zhang and D Liang,
    Splitting finite difference methods on staggered grids for the three-dimensional time-dependent Maxwell equations. Submitted.
  48. C Miao, B Yuan and B Zhang,
    Well-posedness of the incompressible magnetohydrodynamic (MHD) system.
    Submitted.
  49. C Miao, B Yuan and B Zhang,
    Well-posedness of the Cauchy problem for the fractional power dissipative equations.
    Submitted.
  50. B Yuan and B Zhang,
    Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices.
    Submitted.
  51. H Qiao, Y Wang and B Zhang,
    A simple decomposition algorithm for support vector machines with polynomial-time convergence.
    Submitted.

 

Publications in Conference Proceedings

  1. B Zhang and I D Abrahams,
    Numerical evaluation of the sound field scattered by a finite fluid-loaded cylindrical elastic shell.
    Theoretical and Computational Acoustics, Vol. 1: Structural Acoustics, Scattering and propagation, (ed. by J.E. Ffowcs Williams, D. Lee, A.D. Pierce), World Scientific, Singapore, 1994, pp. 191-205.
  2. B Zhang and S N Chandler-Wilde,
    An integral equation method for electromagnetic scattering by an inhomogeneous layer on a perfectly conducting plate.
    Integral Methods in Science and Engineering, Vol. 1: Analytic Methods, (ed. by C. Constanda, J. Saranen, S. Seikkala), Addison Wesley Longman, London, 1997, pp. 225-229.
  3. S N Chandler-Wilde and B Zhang,
    On the solvability and numerical treatment of a class of second kind integral equations on unbounded domains.
    Integral Methods in Science and Engineering, Vol. 2: Approximation Methods, (ed. by C. Constanda, J. Saranen, S. Seikkala), Addison Wesley Longman, London, 1997, pp. 64-68.
  4. B Zhang and S N Chandler-Wilde,
    Integral equation formulations for scattering by an inhomogeneous layer on a rigid plate.
    Proc. 1st UK Conf. on Boundary Integral Methods, (ed. by L. Elliott, D.B. Ingham, D. Lesnic), Leeds University Press, Leeds, 1997, pp. 318-327.
  5. B Zhang and S N Chandler-Wilde,
    An integral equation approach for rough surface scattering.
    Proc. 4th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation, (ed. by J. A. DeSanto), SIAM, Philadelphia, 1998, pp. 473-475.
  6. S N Chandler-Wilde, C Ross & B Zhang,
    Scattering by rough surfaces.
    Proc. 4th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation (ed. by J. A. DeSanto), SIAM, Philadelphia, 1998, pp. 164-168.
  7. Y Ren and B Zhang,
    A simple numerical technique for a class of integral equations of the second kind.
    Proc. 2nd UK Conf. on Boundary Integral Methods, (eds. L. Wrobel and S.N. Chandler-Wilde), Brunel University Press, Uxbridge, 1999, pp. 303-311.
  8. Z Xie and B Zhang,
    A fourth-order FDTD technique for Maxwell's equations.
    Proc. 5th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation (ed. by A. Bermudez et al.), SIAM, Philadelphia, 2000, pp. 878-882.
  9. Z Xie, B Zhang and C H Chan,
    A fourth-order accurate staggered FDTD scheme for the Maxwell equations.
    Proc. the 2000 IEEE International Symposium on Antennas and Propagation , July 16-21, 2000, Salt Lake City, Utah, USA, pp. 1518-1521.
  10. B Zhang and W Sun,
    An integral equation method for scattering by an infinite Lipschitz surface.
    Proc. of the European Symposium on Numerical Methods in Electromagnetics (JEE'02 Symposium), (eds. B. Michielsen and F. Decavele), March 6-8, 2002, ONERA, Toulouse, France, pp. 31-35.
  11. B Zhang,
    Review of "Variational and Potential Methods in the Theory of Bending of Plates With Transverse Shear Deformation" by I. Chudinovich and C. Constanda.
    Proc. Edinburgh Math. Soc. 45 (1) (2002), 255-256.
  12. B Zhang and G Yan,
    Integral equation methods for scattering by periodic Lipschitz surfaces.
    Integral Methods in Science and Engineering -- Analytic and Numerical Techniques (eds. C. Constanda, M. Ahues and A. Largillier), Birkhauser, 2004, pp. 273-278.
  13. L Gao, B Zhang and D Liang,
    Analysis of an ADI finite difference method for the time-dependent Maxwell equations in 3-D.
    Advances in Scientific Computing and Applications (eds. Y Lu, W Sun and T Tang), Science Press, Beijing/New York, 2004, pp. 171-180.
  14. H Qiao, S Zhang, J Keane and B Zhang,
    Face recognition using SVM decomposition methods.
    Proc. of 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems, Sept 28-Oct 2, 2004, Sendal, Japan, pp. 2015-2020.
  15. L Gao, B Zhang and D Liang,
    ADI-FDTD splitting methods for two-dimensional Maxwell equations.
    Proc. of the 5th UK Conference on Boundary Integral Methods---Advances in Boundary Integral Methods (ed. K. Chen), University of Liverpool Press, 2005, pp. 174-180.
  16. Y Wang, H Qiao and B Zhang,
    Convergence of a new decomposition algorithm for support vector machines.
    Lecture Notes in Artificial Intelligence 4114 (2006), 303-308.
  17. A Wan, H Qiao, W Mao and B Zhang,
    New results for global exponential stability of delayed Cohen-Grossberg neural networks.
    Lecture Notes in Computer Science 4113 (2006), 409-415.

    18. Last updated 15 October 2006