Chunxiong Zheng

 

Department of Mathematical Sciences

Tsinghua University

Beijing, 100084, P.R. China

Phone: (8610)6277-2719

Office: Science Building R1322D

Email: czheng@math.tsinghua.edu.cn

 

PERSONAL INFORMATION

Born on the 12-th of February of 1975 in Honghu County of Hubei Province of China.

 

ACADEMIC EDUCATION

Ph.D. of Applied Mathematics, Tsinghua University, 2001

B.S. of Applied Mathematics, Tsinghua University, 1996

 

EXPERIENCE

Assistant Professor, 2001-2004, Tsinghua University

Associate Professor, 2004---present, Tsinghua University

 

EDITORSHIP

Associate Editor of Chinese Journal of Computational Physics, 20072012.

 

RESEARCH INTERESTS

I conduct research on multiscale problems, absorbing boundary conditions, periodic structure problems, inverse scattering problems and high frequency waves.

 

GRANTS

       Principal investigator, NSFC-10401020, Numerical simulation of multiscale problems on unbounded domains, 2005-2007.

       Principal investigator, NSFC-10971115, Numerical simulation of waves in periodic structures, 2010-2012.

       Co-Principal investigator, NSFC-10301017, Coupled numerical methods for multi-scale phenomena, 2004-2006.

 

ACADEMIC EXPERIENCES

       REGULAR POSITIONS:

       Associate Professor, Tsinghua University, 2005—present

       Assistant Professor, Tsinghua University, 2001-2005

       VISITING POSITIONS:

Visiting Scholar, Department of Mathematics, University of Vienna, Austria, 4/03-5/03

Visiting Scholar, Department of Mathematics, National University of Singapore, Singapore, 7/05-8/05

Visiting Professor, Department of Mathematics, University of Munster, Germany, 2/06-1/07, supported by the Alexander von Humboldt Foundation

Visiting Scholar, Department of Mathematics, Technical University of Vienna, Austria, 6/06-12/06

Visiting Scholar, Department of Mathematics, Technical University of Berlin, Germany, 7/07

 

LIST OF PUBLICATIONS

[1] D. Yin and C. Zheng, Gaussian beam formulations and interface conditions for the one-dimensional linear Schrodinger equation, Wave Motion, 48: 310-324, 2011.

[2] C. Zheng, Fast evaluation of exact transparent boundary condition for one-dimensional cubic nonlinear Schrodinger equation, Frontiers of Mathematics in China, 5(3): 589-606,2010.

[3] A.B. de Monvel, V.P. Kotlyarov, D. Shepelsky, and C. Zheng, Initial boundary value problems for integrable systems: towards the long time asymptotics, Nonlinearity, 23(10): 2483-2499, 2010.

[4] C. Zheng, Gaussian beam approach for the boundary value problem of high frequency Helmholtz equation, Commun. Math. Sci., 8(4), 1041-1066, 2010.

[5] C. Bacuta, J.G. Sun and C. Zheng, Partition of unity refinement for local approximation, Numer. PDE, 2010.

[6] M. Ehrhardt, J.G. Sun and C. Zheng, Evaluation of scattering operators for semi-infinite periodic arrays, Commun. Math. Sci., 7(2): 347-364, 2009.

[7] J.G. Sun and C. Zheng, Numerical scattering analysis of TE plane waves by a metallic diffraction grating with local defects, J. Opt. Soc. Am. A, 26(1): 156-162,2009.

[8] M. Ehrhardt, H. Han and C. Zheng, Numerical simulation of waves in periodic structures, Comm. Comput. Phys., 5(5): 849-872, 2009.

[9] M. Ehrhardt and C. Zheng, Exact artificial boundary conditions for problems with periodic structures, J. Comput. Phys., 227: 6877-6894, 2008.

[10] C. Zheng, X. Wen and H. Han, Numerical solution to a linearized KdV equation on unbounded domain, Numer. Meth. PDE, 24(2): 383-399, 2008.

[11] C. Zheng, An exact absorbing boundary condition for the Schrödinger equation with sinusoidal potentials at infinity, Comm. Comput. Phys., 3(3): 641-658, 2008.

[12] C. Zheng, A perfectly matched layer approach to the nonlinear Schrödinger wave equations, J. Comput. Phys., 227: 537-556, 2007.

[13] C. Zheng, Approximation, stability and fast evaluation of exact artificial boundary condition for the one-dimensional heat equation, J. Comput. Math., 25(6): 730-745, 2007.

[14] C. Zheng, Numerical solution to the sine-Gordon equation defined on the whole real axis, SIAM J. Sci. Comp., 29(6): 2494-2506, 2007.

[15] C. Zheng, Error analysis of a coupled finite-infinite element method for an exterior Poisson problem, Appl. Numer. Math., 57: 270-280, 2007.

[16] C. Zheng, Numerical simulation of a modified KdV equation on the whole real axis, Numer. Math., 105: 315-335,2006.

[17] C. Zheng, Exact nonreflecting boundary conditions for one-dimensional cubic nonlinear Schrödinger equations, J. Comput. Phys., 215: 552-565, 2006.

[18] W. Bao and C. Zheng, A time-splitting spectral method for three-wave interactions in media with competing quadratic and cubic nonlinearities, Comm. Comput. Phys., 2: 123-140, 2006.

[19] S. Jin and C. Zheng, A time-splitting spectral method for the generalized Zakharov system in multi-dimensions, J. Sci. Comput., 26(2): 127-149, 2006.

[20] H. Han and C. Zheng, Artificial boundary method for the three-dimensional exterior problem of elasticity, J. Comput. Math., 23(6): 603-618, 2005.

[21] Z.Y. Huang, S. Jin, P.A. Markowich, C. Sparber and C. Zheng, A time-splitting spectral scheme for the Maxwell-Dirac system, J. Comput. Phys., 208(2): 761-789, 2005.

[22] S. Jin, P.A. Markowich and C. Zheng, Numerical simulation of a generalized Zakharov system, J. Comput. Phys., 201(1): 376-395, 2004.

[23] H. Han and C. Zheng, Exact nonreflecting boundary conditions for an acoustic problem in three dimensions, J. Comput. Math., 21(1): 15-24, 2003.

[24] C. Zheng and H. Han, Artificial boundary method for the exterior Stokes flow in three dimensions, Int. J. Numer. Meth. Fluids, 41: 537-549, 2003.

[25] C. Zheng and H. Han, The artificial boundary condition for exterior Oseen equation in 2-D space, J. Comput. Math., 20(6):591-598, 2002.

[26] C. Zheng and H. Han, High-order artificial boundary conditions for ideal axisymmetric irrotational flow around 3D obstacles, Int. J. Numer. Meth. Engrg., 54: 1195-1208, 2002.

[27] H. Han and C. Zheng, Mixed finite element method and high-order local artificial boundary conditions for exterior problems of elliptic equation, Comput. Meth. Appl. Mech. Engrg., 191: 2011-2027, 2002.