En-Bing Lin
En-Bing Lin
Professor and Department Chairperson
Applied and Computational Mathematics

Pearce Hall 214


  • Ph.D., Johns Hopkins University, 1982
  • B.S., National Taiwan University, 1975
Honors and Awards

  • UT CTE Teaching Enhancement Award, 1995
  • UCLA IPAM Fellow, 2002
Professional Interests

Applied and Computational Mathematics, Wavelet Analysis and Applications, Mathematical Physics, and Complex Geometry

Teaching Areas

Analysis, Geometry, Topology and Applied Mathematics

Selected Publications and Presentations

  • E. B. Lin and N. Liu, Legendre Wavelet Method for Numerical Solutions of Partial Differential Equations, to appear in Numerical Methods of Partial Differential Equation.
  • E. B. Lin, Multi-scaling Approximation for Eigenvalue Problems of Fredholm Integral Operators, Journal of Applied Functional Analysis, vol.2. no.4, 461-470, 2007.
  • E. B. Lin and P. Liu, A Discrete Wavelet Analysis of Freak Waves in the Ocean, Journal of Applied Mathematics, 5, 379-394, 2004.
  • E. B. Lin and X. Zhou, Connection coefficients on an interval and numerical solution of the Burgers equation, Journal of Computational and Applied Mathematics, 135, 63-78, 2001.
  • E. B. Lin and X. Zhou, Coiflet Interpolation and Approximate solutions of Partial Differential Equations, Numerical Methods of Partial Differential Equation, 13, 303-320, 1997.
  • E. B. Lin, Eigenvalue Approximation of Fredholm Integral Operators, AMS Symposia on Applied Mathematics, 48, 317-321, 1994.
  • E. B. Lin, A Gauge Theory for Quantum System with Isospin, J. Physics A, 24, L 1045-1049, 1991.
  • E. B. Lin and B. Wong, Boundary Localization of the Normal Family of Holomorphic Mappings and Remarks on Existence of Bounded Holomorphic Functions on Complex Manifolds, Illinois J. of Math., 34(3), 656-664, 1990.
  • E. B. Lin, Quantum Control Theory I, Contemporary Math., 97, 269-278, 1989.
  • E. B. Lin, Geometric Quantization of Particles with Isotopic Spin, Hadronic Journal, 5(6), 2041-2068, 1982.
  • “Geometric Quantization,” University of Chicago, April 1984.
  • “Geometric Quantization of Particles in Quark Models," First International Conference on Physics of Phase Space, University of Maryland, May 1986.
  • “Symmetries and Double Fibrations," International Symposium on Spacetime Symmetries, Maryland, May 1988.
  • “Boundary Localization of the Normal Family of Holomorphic Mappings," AMS 853rd Meeting, UCLA, November 1989.
  • “Quantum Mechanical Control Systems," SIAM Conference on Dynamical Systems, May 1990.
  • “A Gauge Theory for Quantum Systems with Isotopic Spin," International Congress of Mathematicians, Kyoto, Japan, Aug. 1990.
  • “Multiwavelet Interpolation and Approximate Solutions of Partial Differential Equations," Annual AMS Meeting, San Diego, CA January 11, 1997.
  • “Image Compression and Denoising via Nonseparable Wavelet Approximation," The first SIAM Conference on Imaging Science, Boston, March 4-6, 2002.
  • “Wavelet Methods for Functional Integral Equations," International Conference on Applicable Harmonic Analysis, Chinese Academy of Sciences, Beijing, June 17-21, 2006.
  • “Multiscale Analysis, Mechanics and Applications," World Congress of Nonlinear Analysts, Orlando, Florida, July 2008.