**Chunxiong Zheng**

Department of Mathematical Sciences

Phone: (8610)6277-2719

Office: Science
Building R1322D

Email: czheng@math.tsinghua.edu.cn

**PERSONAL INFORMATION**

Born on the 12-th of February of

**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, 2007–2012.

**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,

Assistant
Professor, Tsinghua University, 2001-2005

** VISITING
POSITIONS:**

Visiting Scholar, Department of Mathematics,

Visiting Scholar, Department of Mathematics,

Visiting Professor, Department of Mathematics,

Visiting Scholar, Department of Mathematics,

Visiting Scholar, Department of Mathematics,

**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

[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.