Xu Yang
Graduate Student
Department of Mathematics
University of Wisconsin-Madison
Office: 816 Van Vleck Hall
Phone: (608) 262-3546
Email: xyang@math.wisc.edu
Brief CV
Education:
Awards:
- Vilas Travel Grant Award, University of Wisconsin-Madison. (Supported to
the 12th International Conference on Hyperbolic Problems: Theory, Numerics,
Applications, June 9-13, 2008)
- SIAM Student Travel Award. (Supported to the SIAM Conference on Analysis of
Partial Differential Equations, Dec 10-12, 2007)
- Excellence in Mathematical Research Award for 2006-2007, University of
Wisconsin-Madison
- University Fellowship for 2005-2006, University of Wisconsin-Madison
Full CV
Research
Research interest: numerical computation and applied analysis of the
multiscale radiative transfer equation, the high frequency waves in
heterogeneous media, geometrical optics, semiclassical limit in the quantum
mechanics, and biological modeling.
Ongoing research projects:
- Numerical computation of high frequency waves (with Professor
Shi Jin)
- Swarming models (with Professor
Paul A. Milewski)
Publications:
- The Vlasov-Poisson
equations as the semiclassical Limit of the Schrodinger-Poisson Equations: a
numerical study (with Shi Jin and Xiaomei Liao), J. Hyperbolic Diff.
Eqn., to appear.
- Computation of
the semiclassical limit of the Schrodinger equation with phase shift by a
level set method (with Shi Jin), J. Sci. Comp., to appear.
- A
simple model for biological aggregation with asymmetric sensing (with Paul A. Milewski),
Comm. Math. Sci. 6(2), 397-416.
- Computation of
interface reflection and regular or diffuse transmission of the planar
symmetric radiative transfer equation with isotropic scattering and its
diffusion limit (with Shi Jin and Xiaomei Liao), SIAM J. Sci. Comp.
30, 1992-2017, 2008.
- A domain decomposition method for a two-scale transport equation with
energy flux conserved at the interface (with Shi Jin and Guangwei Yuan),
Kinetic and Related Models 1(1), 65-84, 2008.
-
Numerical study
of a domain decomposition method for a two-scale linear transport equation
(with F. Golse, S. Jin, and Z. Y. Huang),
Networks and Heterogeneous Media 1(1), 143-166, 2006.
-
On the forward and inverse displacement of spatial parallel manipulators (with
J.S. Zhao, L. Zhu, Z.J. Feng and K. Zhou), Int. J. Advanced Manufacturing
Technology 29, 1284-1294, 2006.
- Wavelet-Galerkin method for reaction-diffusion equation (with Z.Y. Huang
and L. Zhu), J. Tsinghua Univ. 46(3), 392-395, 2006, (in Chinese).
Conferences:
- AMS Mathematics Research
Communities Program, Snowbird Resort, Utah, June 21-27, 2008.
- 12th International Conference
on Hyperbolic Problems: Theory, Numerics, Applications, University of
Maryland, College Park, June 9-13, 2008.
- 2008 AMS Spring
Central Section Meeting, Bloomington, IN, April 5-6, 2008.
-
Workshop on Multiscale Modeling, Analysis, and Simulations, Michigan State
Univ., East Lansing, MI, March 27-28, 2008.
- SIAM Conference on Analysis
of Partial Differential Equations, Hilton Phoenix East/Mesa, Mesa,
Arizona, Dec. 10-12, 2007.
- Workshop on Gaussian
Beams, with Application to Seismology, ICES, Austin, Texas, Nov. 29-30,
2007.
-
2007-08 Program on Random Media: Interface Problems Workshop, Research
Triangle Park, NC, Nov. 15-16, 2007.
- 2007 AMS Fall
Central Section Meeting, Chicago, IL, Oct. 5-6, 2007.
- Workshop on Computational High Frequency
Waves, Wolfgang Pauli Institute, Univ. of Vienna, Austria, Feb. 21-Mar.2,
2007.
- Workshop on
Computational Methods in Transport, Lake Tahoe, California, Sep. 9-14,
2006.
- Multiscale Mathematics in
Material Science Conference, University of Puget Sound, Tacoma, May
25--30, 2006.
Teaching
- Fall 2007: Math 221: Calculus and Analytic Geometry.
- Fall 2006: Math 221: Calculus and Analytic Geometry.