Yinhua XIA

Postdoctoral Research Associate

Division of Applied Mathematics

Brown University

Providence, RI 02912, USA.

Tel: (401) 863-3508

Fax: (401) 863-1355

E-mail:yxia@dam.brown.edu

Education

• B.S. in School of Mathematical Sciences, Nankai University,2001.

• Ph.D in Department of Mathematics, University of Science and Technology of China, 2008.

  Advisor: Chi-Wang Shu.

More about me: CV

Publications in Refereed Journals

1. D. Xiao, J.X. Ma, Y. Li, Y. Xia and M.Y. Yu, Evolution of nonlinear dust-ion-acoustic waves in an inhomogeneous plasma, Physics of Plasmas , 13 (2006), article number 052308.

2. Y. Xia, Y. Xu and C.-W. Shu, Efficienttime discretization for local discontinuous Galerkin methods, Discrete and Continuous Dynamical Systems - SeriesB, 8 (2007), pp. 677-693.

3. Y. Xia, Y. Xu and C.-W. Shu, Local discontinuous Galerkin methods for the Cahn-Hilliard type equations, Journal of Computational Physics, 227 (2007), pp. 472-491.

4. Y. Xia, Y. Xu and C.-W. Shu,Application of the local discontinuous Galerkin method for the Allen-Cahn/Cahn-Hilliard system, Communications in Computational Physics, 5 (2009), pp. 821-835.

5. Y. Xia, S.C. Wong, M.P. Zhang, C.-W. Shu and W.H.K. Lam,An efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow model, International Journal for Numerical Methods in Engineering, 76 (2008), pp. 337-350.

6. L. Huang, Y. Xia, S.C. Wong, C.-W. Shu, M. Zhang and W.H.K. Lam,A dynamic continuum model for bi-directional pedestrian flows, Proceedings of the Institution of Civil Engineers: Engineering and Computational Mechanics, 162 (2009), pp.67-75.

7. Y. Xia, S.C. Wong and C.-W. Shu,Dynamic continuum pedestrian flow model with memory effect, Physical Review E, v79 (2009), article number 066113.

8. Y. Xia, Y. Xu and C.-W. Shu,Local discontinuous Galerkin methods for the generalized Zakharov system, Journal of Computational Physics, to appear.

Publications in Refereed Proceedings

1. Y. Xia, L. Huang, S.C. Wong, M. Zhang, C.-W. Shu and W.H.K. Lam, The follow-the-crowd effect in a pedestrian flow model, the Proceedings of the 12th International Conference of Hong Kong Society for Transportation Studies, December 2007, Hong Kong, pp.309-317.

2. Y. Liang, A. Schiemenz, Y. Xia and M. Parmentier,High porosity harzburgite and dunite channels for the transport of compositionally heterogeneous melts in the mantle: II. Geochemical consequences, submitted to AGU Fall meeting, 2009.

Current Research Interests

• Numerical methods for differential equations:

  • Essentially non-oscillatory (ENO) methods, weighted ENO (WENO)methods and discontinuous Galerkin methods for convection dominated problems

  • Discontinuous Galerkin (DG) methods for wave equations and gradient flows

  • Efficient time discretization

• Model and simulation of the pedestrian flows.

• Model and simulation of the magma flows in the mantle.

Last updatedNov. 6, 2009