Eric T. Chung (b. 1976, Hong Kong) is a von Karman Instructor in Applied and Computational Mathematics in California Institute of Technology [caltech web]. He obtained PhD degree from University of California at Los Angeles [ucla web]. His Ph.D. thesis advisor is Prof. Bjorn Engquist [his info]. His research interests are Inverse Problem and Numerical Analysis.

Education:
  • PhD (2005), University of California at Los Angeles, Advisor: Bjorn Engquist
  • MPhil (2000), The Chinese University of Hong Kong, Advisor: Jun Zou
  • BSc (1998), The Chinese University of Hong Kong

Teaching (Fall 2007):
  • ACM 11: Introduction to Matlab and Mathematica [class web]

Brief CV:

Research Interest:
  • Discontinuous galerkin methods and finite element methods
  • Finite volume methods
  • Travel time tomography and electrical impedance tomography
  • Numerical solution to wave propagation: acoustic, electromagnetic, elastic
  • Numerical solution to fluid flow problems
  • Numerical PDE with highly oscillatory coefficients

Submitted Paper:
  1. Eric Chung, Jianliang Qian, Gunther Uhlmann and Hong-kai Zhao. A new phase space method for recovering index of refraction from travel times. Submitted.
    [download]

Publication:
  1. Eric T. Chung and Bjorn Engquist. Optimal discontinuous galerkin methods for wave propagation. SIAM J. Numer. Anal., 44 (2006), pp. 2131-2158.
    [download]
  2. Eric T. Chung, Tony F. Chan and Xue Cheng Tai. Electrical impedance tomography using level set representation and total variational regularization. J. Comput. Phy., 205 (2005), pp. 357-372
    [download]
  3. Eric T. Chung and Bjorn Engquist. Convergence analysis of fully discrete finite volume methods for Maxwell's equations in nonhomogeneous media. SIAM J. Numer. Anal., 43 (2005), pp. 303-317.
    [download]
  4. Eric T. Chung, Qiang Du and Jun Zou. Convergence analysis on a finite volume method for Maxwell's equations in non-homogeneous media. SIAM J. Numer. Anal., 41 (2003), pp. 37-63.
    [download]
  5. Eric T. Chung and Jun Zou. The eigenvalues and eigenspaces of some discrete div- and curl-related operators. SIAM J. Matrix Anal. Appl., 24 (2003), pp. 1149-1160.
    [download]
  6. T. S. Chung and J. Zou. A finite volume method for Maxwell's equations with discontinuous physical coefficients. Int. J. Appl. Math., 7 (2001), pp. 201-224.
    [download]

Conference Proceeding:
  1. Eric T. Chung and Bjorn Engquist. A new discontinuous galerkin method for Maxwell's equations. The 8th US national congress on computational mechanics, University of Texas at Austin, 2005
  2. Eric T. Chung and Bjorn Engquist. Staggered grid discontinuous galerkin methods for Maxwell's equations. The 7th international conference on mathematical and numerical aspects of waves, Brown University, 2005

Experience:
  • July 2006 - now: von Karman Instructor, Applied and Computational Mathematics, Caltech
  • July 2005 - June 2006: Visiting Assistant Professor, Mathematics Department, UCI
  • July 2005 - August 2005: Faculty mentor, IPAM

Service:
  • 2000: Postgraduate Student Representative, Departmental Board of Mathematics Department, The Chinese University of Hong Kong
  • 1996: Undergraduate Student Representative, Departmental Board of Mathematics Department, The Chinese University of Hong Kong

Award:
  • 2006: AMS-NSF travel grant for ICM 2006
  • 2001-2005: Teaching/Research Assistantship, University of California at Los Angeles

Address:
Eric T. Chung
California Institute of Technology
Applied and Computational Mathematics
1200 E. California Blvd.
MC 217-50
Pasadena, CA 91125
email: tschung@acm.caltech.edu
msn: eric_tschung@hotmail.com