Welcome to Shan
Zhao's Home Page
Contact Information
Education
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Ph.D., Scientific Computing, National
University of Singapore, Singapore, July, 2003
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B.Sc., Mathematics, Lanzhou
University, China, July, 1997
Professional Experience
Teaching
- Spring 2009:
Calculus I (Math 125)
Applied Differential Equation I (Math 238)
Research Interests
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Scientific computing:
High order methods for PDEs, immersed interface methods, immersed boundary methods,
matched interface and boundary method, computational electromagnetics and optics,
short wave problems;
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Mathematical biology:
Mathematical methods for structural biology, implicit solvent
modeling, molecular surface modeling;
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Other interests:
nonlinear dynamics, digital signal processing, financial mathematics, and time series
analysis.
Recent Grants and Supports
Journal Publications
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P. Bates, Z. Chen, Y. Sun, G.W. Wei, and S. Zhao,
Geometric and potential driving formation and evolution of biomolecular surfaces,
Journal of Mathematical Biology ,
in press, (2009).
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S. Zhao,
High order vectorial analysis of waveguides with curved dielectric interfaces,
IEEE Microwave and Wireless Components Letters ,
19, pp. 266-268, (2009).
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S. Rosencrans, X. Wang, W. Winter, and S. Zhao,
Measuring the insulating ability of anisotropic thermal conductors via
principal Dirichlet eigenvalue,
European Journal of Applied Mathematics ,
20, pp. 231-246, (2009).
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S. Zhao and G.W. Wei,
Matched interface and boundary (MIB) for the
implementation of boundary conditions in high order central finite differences,
International Journal for Numerical Methods in Engineering, ,
77, pp. 1690-1730, (2009).
- S. Zhao,
Full-vectorial matched interface and boundary (MIB) method
for the modal analysis of dielectric waveguides,
IEEE/OSA Journal of Lightwave Technology ,
26, pp. 2251-2259, (2008).
- P. Bates, G.W. Wei and S. Zhao, Minimal molecular surfaces and their
applications , Journal of Computational Chemistry, 29, pp. 380-391, (2008).
- S. Zhao,
On the spurious solutions in the high-order finite difference
methods , Computer Methods in Applied Mechanics and Engineering ,
196, pp. 5031-5046, (2007).
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G.W. Wei and S. Zhao,
On the validity of ``A proof that the discrete singular convolution
(DSC)/Langrange-distributed approxiamtion function (LDAF) method is inferior to high order
finite differentces '',
Journal of Computational Physics,
226, pp. 2389-2392, (2007).
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Ge Wang, Haiou Shen, Wenxiang Cong, Shan Zhao and G.W. Wei,
Temperature modulated bioluminescence tomography,
Optics Express,
14(17), pp. 7852-7871, (2006).
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Y.C. Zhou, S. Zhao, M. Feig, and G.W. Wei,
High order matched interface and
boundary method for elliptic equations with discontinuous coefficients and
singular sources,
Journal of Computational Physics,
213, pp. 1-30, (2006).
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S. Zhao and G.W. Wei, Option valuation by using
discrete singular convolution,
Applied Mathematics and Computation,
167, pp. 383-418, (2005).
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S.N. Yu, S. Zhao, and G.W. Wei, Local spectral
time-splitting method for first and second order partial differential equations,
Journal of Computational Physics, 206, pp. 727-780, (2005).
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S. Zhao, G.W. Wei, and Y. Xiang, DSC analysis
of free-edged beams by an iteratively matched boundary method, Journal
of Sound and Vibration, 284, pp. 487-493, (2005).
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S. Zhao and G.W. Wei, High-order FDTD methods
via derivative matching for Maxwell's equations with material interfaces,
Journal
of Computational Physics, 200, pp. 60-103, (2004).
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S. Zhao and G.W. Wei, Tensor product derivative
matching for wave propagation in inhomogeneous media, Microwave
and Optical Technology Letters,
43-1, pp. 69-77, (2004).
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G. Bao, G.W. Wei, and S. Zhao, Numerical solution
of the Helmholtz equation with high wavenumbers, International Journal
for Numerical Methods in Engineering, 59, pp. 389-408, (2004).
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S. Zhao and G.W. Wei, Comparison of the discrete
singular convolution and three other numerical schemes for solving Fisher's
equation, SIAM Journal on Scientific Computing,
25, pp.
127-147, (2003).
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Z.H. Shao, G.W. Wei, and S. Zhao, DSC time-domain
solution of Maxwell's equations,
Journal of Computational Physics,
189,
pp. 427-453, (2003).
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G. Bao, G.W. Wei, and S. Zhao, Local spectral
time-domain method for electromagnetic wave propagation, Optics
Letters,
28(7), pp. 513-515, (2003).
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S. Zhao and G.W. Wei, Jump process for the
trend estimation of time series, Computational Statistics and Data
Analysis, 42(1-2), pp. 219-241, (2003).
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G.W. Wei and S. Zhao, Synchronization and information
processing by an on-off coupling, Physical Review E, 65(5),
056210, (2002).
Professional Services
- Grant Proposal Reviewer, NSF Program of Computational Mathematics.
- Guest Editor,
International Journal of Biomedical Imaging
- Journal Article Reviewer, AMS Contemporary Mathematics,
ASCE Journal of Engineering Mechanics,
Communications in Numerical Methods in Engineering,
Computers and Fluids,
Journal of Computational Physics,
Journal of Sound and Vibration,
IEEE Microwave and Wireless Component Letters,
IEEE Transactions on Antennas and Propagation,
IEEE/OSA Journal of Lightwave Technology,
International Journal for Numerical Methods in Fluids,
International Journal of Biomedical Imaging,
Iranian Journal of Science and Technology,
Medical Physics,
Numerical Mathematics.
- Conference Proceeding Reviewer,
International Conference of Numerical Analysis and Applied Mathematics.
Recent Conferences
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International Conference on Applied Analysis and Scientific Computation,
, June 25-28, 2009, Shanghai Normal University, Shanghai, China.
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Eighth Mississippi State - UAB Conference on Differential Equations &
Computational Simulations, May 7-9, 2009, Mississippi State University.
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Midwest Conference on Mathematical Method for Images and Surfaces
, April 18-19, 2009, Michigan State University, East Lansing, MI.
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International Conference on Applied Mathematics and Approximation Theory,
Oct. 11-13, 2008, University of Memphis.
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Aunnual Alabama EPSCoR Conference and Stakeholder Symposium, July 23-24, 2008,
Montgomery, AL.
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AMS Spring Southeastern Meeting
, March 28-30, 2008, Baton Rouge, LA.
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Seventh Mississippi State - UAB Conference on Differential Equations &
Computational Simulations, Nov. 1-3, 2007, Birmingham, AL.
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The 7th International Conference on Spectral and High Order Methods,
, June 18-22, 2007, Institute of Computational Mathematics, Chinese Academic of Sciences, Beijing,
China.