Dr. Dongbin Xiu

Assistant Professor

E-mail: dxiu@math.purdue.edu

 

Education

Ph.D. 1999- 2003: Division of Applied Mathematics, Brown University, Providence, RI, USA

M.S. 1996-1999: Department of Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, VA, USA

Grad School 1993-1995: Department of Mechanics, Zhejiang University, Hangzhou, P.R.China

B.S. 1989-1993: Department of Mechanics, Zhejiang University, Hangzhou, P.R.China

Research Interests

Stochastic modeling in Engineering Applications; High-order and Spectral Methods for PDE; Mulitiscale Simulations; Large-scale, Interdisciplinary Computations of Complex Systems

Professional Experience

  • 2005-Purdue University - Assistant Professor

  • 2003-2004 Post Doc work at Los Alamos National Laboratory, Princeton University, and Brown University

Selected Publications

  • D.M. Tartakovsky and D. Xiu , Stochastic Analysis of Transport in Tubes with Rough Walls, J. Comput. Phys. , 2005. (submitted)

  • D. Xiu , R. Ghanem and I.G. Kevrekidis, An Equation-free, Multiscale Computational Approach to Uncertainty Quantification for Dynamical Systems, IEEE Computing in Science and Engineering Journal (CiSE) , 7 (3), 16-23 (2005).

  • D. Xiu and J.S. Hesthaven, High Order Collocation Methods for Differential Equations with Random Inputs, SIAM J. Sci. Comput. , 2005 (accepted).

  • D. Xiu and I.G. Kevrekidis, Equation-free, Multiscale Computation for Unsteady Random Diffusion, SIAM J. Multiscale Modeling & Simulation , 4 (3), 915-935 (2005).

  • D. Xiu and D.M. Tartakovsky, Numerical Methods for Differential Equations in Random Domains, SIAM J. Sci. Comput. , 2005 (accepted).

  • S. Sirisup, D. Xiu , G.E. Karniadakis and I.G. Kevrekidis, Equation-free/Galerkin-free POD-assisted Computation of Incompressible Flows, J. Comput. Phys. , 207 , 568-587 (2005).

  • D. Xiu , and D.M. Tartakovsky, A Two-scale Non-perturbative Approach to Uncertainty Analysis of Diffusion in Random Composites, SIAM J. Multiscale Modeling & Simulation , 2 (4), 662-674 (2004).

  • D. Xiu , S.J. Sherwin, S. Dong and G.E. Karniadakis, Weak and Strong Forms of the Semi-Lagrangian Method for High Reynolds Number Flows, J. Sci. Comput. , 2004 (accepted).