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

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 solution to Boltzmann's equations
  • 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
  • September 2003 - June 2005: Teaching Assistant, Mathematics Department, UCLA
  • September 2001 - August 2003: Research Assistant, Mathematics Department, UCLA
  • July 2000 - August 2001: Research Assistant, The Chinese University of Hong Kong
  • July 1998 - June 2000: Teaching Assistant, The Chinese University of Hong Kong

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
  • 1998-2000: Teaching Assistantship, The Chinese University of Hong Kong
  • 1998: First Class Honour in Mathematics, The Chinese University of Hong Kong
  • 1998: Hong Kong Tsung Tsin Association Academic Awards
  • 1997: Good Earth Foundation Scholarships
  • 1996: Hong Kong Tsung Tsin Association Academic Awards
  • 1993,1994: Sir Edward Youde Memorial Prize

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

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