Research | Fei Xue
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Research

Fei Xue, PhD

My research interests are the asymptotic analysis of differential and time scales, and pedagogical Calculus research.

Publications / Papers:

  • Fei Xue, On Asymptotic Summations of Almost Diagonal Difference Systems and Their Applications, Computers and Mathematics with Applications, Vol. 66, 2156-2164, 2013.
  • Clara Fang and Fei Xue, Modeling Lead Vehicles Dynamics through Traffic Simulation and Field Data, International Journal of Modern Engineering, Volume 12, No. 2, 72-79, 2012.
  • Fei Xue, Asymptotic solutions of linear dynamic systems on time scales, International Journal of Pure and Applied Mathematics, Volume 55 No. 4595-614, 2009.
  • Probability and Statistics (in English), with H. Lai, J. Lin, Z. Hao, Y. Hong, Z. Tao, and F. Zhu, Higher Education Press (in China), 2008.
  • F. Xue and H. Gingold, On The Asymptotic Summation of Difference Systems, Proceeding of the Royal Society of Edinburgh, 137A, 771-797, 2007.
  • F. Xue and H. Gingold, On Asymptotic Summation of Potentially Oscillatory Difference Systems, Journal of Mathematical Analysis and Applications, Volume 330, 1068-1092, 2007.
  • H. Gingold and F. Xue A New Technique for Asymptotic Integration of Potentially Oscillatory Differential Systems, International Journal of Pure and Applied Mathematics, Volume 34, No. 3, 323-346, 2007.

Undergraduate Research

I have worked with a few students on the project Mixed Probability Distribution on Time Scales. We tried to set up some distributions on time scale which include both discrete and continuous domain.