Don Hong, Ph.D. (CV) Visiting Professor, Biostatistics Professor of Mathematics, ETSU
Email: don.hong@vanderbilt.edu Phone: 615.936.1415 Fax: 615.936.2602 Biostatistics Shared Resource	Vanderbilt-Ingram Cancer Center Department of Biostatistics 571 Preston Building Nashville, TN 37232-6848

Research Interests

• Splines, Wavelets, and Applications in Statistics.
• Approximation Theory, Computational Analysis, and Applied Probability.
• Actuarial Mathematics, Survival Analysis, and Biostatistics

Editorial Appointments

• Associate Editor of Journal of Applied Functional Analysis
• Guest Editor of Journal of Computational and Applied Mathematics, Journal of Concrete and Applicable Mathematics, Journal of Computational Analysis and Applications.

AWARDS AND HONORS

• Faculty Research Award (2001), ETSU College of Arts and Sciences.
• Listed in Who's Who in America, 2004.
• Listed in Who's Who in Sciences Higher Education, 2004.

GRANTS

• NSF IGMS Award #0408086, 2004
• NSF Award #9950600, 1999

RECENT PUBLICATIONS (click here for a complete list)

Book/Proceedings/Special Issue

• Don Hong, Jianzhong Wang, and Robert Gardner, Real Analysis with an Introduction to Wavelets and Applications, Graduate Textbook, Academic Press, Boston, to appear.

• Don Hong and Michael Prophet (Guest editors), Proceedings of Wavelets and Approximation Theory , A Special Issue in Journal of Computational Analysis and Applications, 5:1 (2003).

• Don Hong and Tianxiao He (Guest editors), Proceedings of Approximation Theory and Numerical Analysis, A Special Issue in Journal of Computational and Applied Mathematics, 155 (2003).

• D. Hong and Y. Shyr (Guest editors), Special issue on Wavelets and Applications for Journal of Concrete and Applicable Mathematics, to appear.

Articles in Refereed Journals

• D. Hong and Y. Shyr, Wavelet Applications in Cancer Study, Journal of Concrete and Applicable Mathematics, to appear.

• Don Hong and Larry L. Schumaker, Surface Compression Using a Basis of $C^1$ Cubic Bivariate Spline Spaces, Journal of Computing, to appear.

• Don Hong and Qingbo Xue, Construction of Piecewise Linear Prewavelets over Regular Triangulations, Journal of Concrete and Applicable Mathematics, to appear.

• Don Hong, Martin Barrett, and Panrong Xiao, Biorthogonal Spline Wavelets and EZW Coding for Image Compression, Lecture Notes in Control and Information Sciences, Vol. 299 (Tarn, Tzyh-Jong; Chen, Shan-Ben; Zhou, Changjiu (Eds.)) , Springer-Verlag Berlin Heidelberg, 2004, pp.281--303.

• Hao Gu, Don Hong , and M. Barrett, On still image compression, J. of Computational Analysis and Applications 5(2003), 45--75.

• Bradley Dyer and Don Hong , An algorithm for optimal triangulations on $C^1$ quartic spline approxiamtion and MatLab implementation, J. of Computational Analysis and Applications 5(2003), 25--43.

• Jiansheng Cao and Don Hong , Best approximation for symmetric semi-definite positive solutions of the left and right inverse problems on a subspace, Journal of Concret and Applicable Mathematics, 1:3 (2003) 217-227.

• Huanwen Liu and Don Hong, An explicit representation of a local basis in $C^1$ cubic spline space over a triangulated quadrangulation, Journal of Computational and Applied Mathematics, 155 (2003), 187-200.

• Doug Hardin and Don Hong, On Piecewise Linear Wavelets and Prewavelets over Triangulations, Journal of Computational and Applied Mathematics, 155 (2003), 91-109.

Graduate Advisees:

Brad Dyer (1998), Anna Mu (1999), Renee Fugerson (2000), Andrew Sell (2000), Hao Gu (2000), Rusty Mawk (2001), Lesley Baker (2001), Panrong Xiao (2001), Jiansheng Cao (2002), Qingbo Xue (2002), Xiaoyu Mu (2003), Yong Chen (2004), Shuo Chen (2004), Xingchen Yuan (2004).

Don Hong's ETSU Website: www.etsu.edu/math/hong/