Ph.D, Applied Mathematics, Michigan State University.
Research Interest
Scientific Computation
Publication:
Journal of Statistical Planning and Interference, Vol. 142 (2012) 848-854. ( with J. Mi and Z. Wang )
SIAM: Multiscale Modeling and Simulation, Vol. 8, (2010), No. 4 1151-1534. ( with P. Li )
Journal of Computational Physics, Vol 229 (2010) 4544-4553. (with K.Solna, H.Zhao)
Journal of Acoustic Society of America, Vol 125 (2009) 227-238. (with S.Hou, K.Solna, H.Zhao)
Journal of Computational Physics, Vol 215 (2006) 448-464.(with G.Papanicolou, K.Solna, C.Tsogka and H.Zhao)
Computational Design for Guided Mode Grating Resonances,
Journal of the Optical Society of America A, Vol.22, No. 7. 1408-1413. 2005 (with G.Bao)
Coupled Parabolic Equations for Wave Propagation,
Methods and Applications of Analysis, Vol 11, No. 3, 399-412, 2004. (with K.Solna and H.Zhao)
Optimal Design of guided modes grating resonances filters,
IEEE Photonics Technology Letters, Vol. 16, No. 1, 141-143 Jan. 2004 (with G.Bao)
Optimal Design of Nonlinear Diffraction Gratings,
Journal of Computational Physics, Vol. 84 (106-121) 2003. (with G.Bao and G.Schmidt)
Second equivalence theorem of multivariate polynomial system and eigen-problem,
Advance in Math, 22, 1993. No. 5, 476-477. (with G.C.Feng, W.D.Wu)
The construction of eigenvalue problem equivalent to multivariate polynomial system and the Groebner basis.
Advance in Math, 22, 1993, No.3 282-284. ( with G.C.Feng, W.D.Wu)
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An algorithm for long rang wave propagation,
Proceedings of the 7th International Conference on Mathematical and Numerical Aspects of Wave Propagation 2005. P396-398.
Brown University, 2005. (with G.Papanicolou, K.Solna, C.Tsogka and H.Zhao)
Optimal design of waveguide-grating resonances,
Proceedings of Sixth International Conference on Mathematical and Computational Aspects of Wave Propagation,
Ed. by G. Cohen, E.Heikkola, P.Joly, and P.Neittaanmaki, Springer, Berlin, 830-835, 2003. (with G.Bao)
Converting Multipolynomial System Into Eigenproblem Via Well Arranged Basis,
Proceedings of the first Asian technology conference in mathematics, P605-614.
Singapore, 1995. (with G.C.Feng, S.G.Zhang)
Solving Polynomial System,
Proceeding of Winter Workshop on Computer Algebra, (P.1-4) Tokyo, 1994.
The eigenvalue method for solving Polynomial System ( in Chinese ).
Mathematical Sciences, Jilin University Publishing House, 1992. (P.254-257). (with G.C.Feng and S.G.Zhang)
Reduction of Polynomial system, ( in Chinese )
Mathematical Sciences, Jilin University Publishing House, 1992.
(P.330-332).