Zhihua Zhang


Now I have joined Beijing Normal University, Beijing, China, 100875


E-mail: zhangzh AT bnu.edu.cn or zhangzh AT math.ucdavis.edu

Education

PhD degree, University of California at Davis, USA, September 2007
MS degree, Chinese Academy of Sciences, China, June 2004
BS degree, Shandong University, China, June 2001

Experience

2010-present Tenured Full Research Professor and Senior Scientist at the College of Global Change and Earth System Sciences(GCESS), Beijing Normal University, Beijing, China
2007-2009 Postdoc & Lecturer, University of California, USA

Laboratory

2010-present Deputy Director of Polar Climate & Environment Key Laboratory, Beijing Normal University, Beijing, China

Service to Profession

Editor-in-Chief of the journal "American Journal of Climate Change"

Editor-in-Chief of the journal "Climate Change Research Letters"

International Advisor Board Member of the journal "The International Journal of Climate Change: Impacts and Responses ".

Editorial Board Member of the journal "American Journal of Signal Processing"

Editorial Board Member of the journal "Pure Mathematics"

Teaching

GCESS Physics of Glaciers, Fall 2011
GCESS Math. & Phys. Methods in Global Change, Spring 2011
GCESS Ice Sheet Modeling, Spring 2011

MATH 16B Short Calculus, Summer 2008
MATH 185A, Complex Variables, Winter 2008

Research Areas

Climate Change, Climatic Signal Processing, Polar Science
Wavelet Analysis, Numerical Methods, Ice sheet modeling
Image Analysis, Remote Sensing Image Analysis, Astronomical Image Analysis

Publications

  1. Z. Zhang, J. Moore, New significance test methods for Fourier analysis of geophysical time series, Nonli. Processes Geophys., 18, 643-652, 2011
  2. Z. Zhang, J. Moore, Empirical Mode Decomposition and Significance Tests of Temperature Time Series, American J. of Engineering and Technology Research, accepted for publication, 2011
  3. Z. Zhang, J. Moore, Intrinsic feature extraction in the COI of wavelet power spectra of climatic signals, Proc. IEEE 4th International Conf. on Image and Signal Processing, Oct. 2011
  4. Z. Zhang, J. Moore, Distribution of Fourier power spectrum of climatic background noise, Proc. IEEE International Conf. on Comput. Intelligence & Software Engineering, Dec, 2011,
  5. Z. Zhang, J. Moore, Improved significance testing of wavelet power spectrum near data boundaries as applied to polar research, Advance in Polar Science, 22(3), 2011
  6. Z. Zhang, Local Analysis, Cardinality, and Split Trick of Quasi©\biorthogonal Frame Wavelets, Acta Math. Sin., (2011)27: 203-218
  7. Z. Zhang, Fourier supports of scaling functions determine cardinalities of wavelets, Int. J. Wavelets, Multiresolut. Inf. Process, accepted for publication, 2011
  8. Z. Zhang, The Measure of the Closure of a Wavelet Set May Be > 2\pi, in "Wavelets and Multiscale Analysis: Theory and Applications", Birkhauser, 2011.
  9. Z. Zhang, N. Saito, Harmonic Wavelet Transform and Image Approximation, J Math Imaging Vis., (2010) 38: 14-34 [PDF]
  10. Z.Zhang and N.Saito, Ring-like structures of frequency domains of wavelets, Appl. Comput. Harmon. Anal., 29 (2010) 18-29.[PDF]
  11. Z.Zhang, A New Method of Constructions of Non-tensor Product Wavelets, Acta Appl.Math., (2010) 111: 153-169 [PDF]
  12. N. Saito and Z. Zhang, On an Efficient Sparse Representation of Objects of General Shape via continuous extension and wavelet approximation, Int. J. Wavelets, Multiresolut. Inf. Process., 8(2010), 253-269. [PDF]
  13. Z. Zhang, Convergence of Periodic Wavelet Frame Series and Gibbs Phenomenon. Rocky Mountain J. Math., 39:4, 2009 [PDF]
  14. Z. Zhang, Local Analysis, Cardinality, and Split Trick of Quasi-biorthogonal Frame Wavelets, Acta Math. Sin., accepted, 2009. [PDF]
  15. Z. Zhang and N. Saito, Constructions of Periodic Wavelet Frames Using Extension Principles, Appl. Comput. Harmon. Anal., 27:1, 2009. [PDF]
  16. Z. Zhang, Supports of Fourier Transforms of Scaling Functions, Appl. Comput. Harmon. Anal., 22:2, 2007. [PDF]
    Remark. ScienceDirect indicated that this paper ranked first in the top 25 hottest articles of Appl. Comput. Harmon. Anal. in Jan.-Mar. 2007
  17. Z. Zhang, Measures, Densities and Diameters of Frequency Bands of Scaling Functions and Wavelets. J. Approx. Theory, 148:2, 2007.[PDF]
  18. Z. Zhang, Continuity of Fourier Transforms of Band-limited Wavelets, J. Comput. Anal. Appl., 9:4, 2007. [PDF]
  19. Z. Zhang, A Pair of Quasi-biorthogonal Frame Wavelets, Acta. Math. Sin. (A), 51:1, 2008. [PDF]
  20. Z. Zhang and N. Saito, An Approximation Formula in Hilbert Space, in Recent Advances in Computational Sciences, P. Jorgensen, X. Shen, C-W Shu, and N. Yan, ed., World Scientific, 218-228, Aug. 2008. [PDF]
  21. Z. Zhang and N. Saito, High Dimensional Data Compression via PHLCT, in Wavelets XII, D. Van De Ville, V. K. Goyal, and M. Papadakis, eds., Proc. SPIE 6701, 2007. [PDF]
  22. Z. Zhang, Convergence of Weyl-Heisenberg Frame Series, Indian J. Pure Appl. Math, 39:2, 2008. [PDF]
  23. Z. Zhang, Pointwise Convergence and Uniform Convergence of Wavelet Frame Series, Acta. Math. Sin., (Engl. Ser.), 22:3, 2006. [PDF]
  24. Z. Zhang, A Characterization of Generalized Frame MRAs Deriving Orthonormal Wavelets, Acta. Math. Sin. (Engl. Ser.), 22:4, 2006. [PDF]
  25. Z. Zhang, Periodic Wavelet Frames, Adv. Comput. Math. 22:2, 2005.[PDF]
  26. Z. Zhang, L. Mu, and P. Zhang, Construction of p-band Frame Wavelet Consisting of the Fewest Functions, Indian J. Pure Appl. Math. 36:5, 2005. [PDF]
  27. Z. Zhang, Characterization of Compact Support of Fourier Transform for Orthonormal Wavelet, Acta. Math. Sin. (Engl. Ser.) 21:4, 2005. [PDF]
  28. L. Mu, Z. Zhang, and P. Zhang, On the Higher-dimensional Wavelet Frames, Appl. Comput. Harmon. Anal, 16:1, 2004. [PDF]
    Remark. ScienceDirect indicated that this paper ranked second in the top 26 hottest articles of Appl. Comput. Harmon. Anal. in Jan.-Aug. 2004
  29. Z. Zhang, L. Mu, and P. Zhang, An Improvement of Papadakis’ Theorem, Progr. Natur. Sci., 14:5, 2004. [PDF]
  30. Z. Zhang, Generalized Dyadic Wavelet and Signal Processing, Math. Econ, 21:2, 2004.
  31. L. Mu, Z. Zhang, and P. Zhang, An Extension of Papadakis' Theorem, Mu'tah J., 19:3, 2004. [PDF]
  32. Z. Zhang, Wavelet Analysis in Sobolev Space of Periodic Distributions, Approx. Theory Appl., 18:3, 2002. [PDF]
  33. Z. Zhang, On a New Kind of Inversion Formula for the Wavelet Transform, J. Math. Study, 35:3, 2002. [PDF]
  34. Z. Zhang, Parseval-type Equality of Dyadic Wavelet and its Extension, Guangxi Sci., 9:1, 2002.
  35. Z. Zhang, A Reconstruction Formula Based on a New Kind of Half-discrete Wavelet Transform, Math. Econ, 18:1, 2001. [PDF]
  36. Z. Zhang, Generalization of Meyer Wavelet, Guangxi Sci., 7:4, 2000. [PDF]
  37. Z. Zhang, Generalized Periodic Wavelet and Half-discrete Wavelet Transform, Distinguished B.S.Thesis Award of Shandong Province, 2002.

Submitted papers

  1. Z. Zhang and N. Saito, Antarctic Remote Sensing Image Processing via PHLST with adaptive segmentation, submitted to Imaging and Inverse Problems, revised according to the referee's reports, 2009
  2. Z. Zhang, Galaxylets: A new tool in Astronomical Image Processing, to be submitted, 2009
  3. Z. Zhang, The minimal Fourier supports of wavelets, submitted, 2009
  4. N. Saito and Z. Zhang, Decomposition and approximation of multivariate functions, submitted, 2009
  5. N. Saito and Z. Zhang, Wavelet Frame Packets, submitted, 2009

Papers in preparation

  1. N. Saito, A. Tyson and Z. Zhang, Shapelet-based Deblending in Astronomical Image Analysis Algorithms.
  2. N. Saito, A. Tyson and Z. Zhang, Modified Shapelets.
  3. N. Saito, A. Tyson and Z. Zhang, A New Deblending Algorithm in Astronomical Image Analysis: Repeated Symmetry Method.
  4. N. Saito and Z. Zhang, Framelet-Based Data Classification Algorithm.
  5. N. Saito and Z. Zhang, The Method of Particular Solution Involving Tangential Derivatives.
  6. N. Saito and Z. Zhang, Synthesis of Dirichlet-Laplacian Eigenfunctions by the Eigenfunctions of Integral Operators.


Awards and Honors

  1. Chinese Government Award for Outstanding Students Abroad, 2007 pic
  2. Alice Leung Scholarship, Dept. of Math., Univ. of California at Davis, 2005  pic
  3. Gorge and Dorothy Zolk Fellowship, Univ. of California at Davis, 2006
  4. Block Grant Fellowship, Univ. of California at Davis, 2005
  5. Wakeham Fellowship, Univ. of California at Davis, 2004
  6. Presidential Excellence Award of Chinese Academy of Sciences, 2003
  7. Presidential Excellence Fellowship of Academy of Mathematics and System Sciences, Chinese Academy of Sciences, 2003
  8. Liu Yongling Prize of Chinese Academy of Sciences, 2002
  9. Distinguished B.S.Thesis of Shandong Province, 2002
  10. Distinguished Undergraduate of Shandong Province, 2001
  11. Prize of Chinese Academy of Sciences, 2000