Selected Publications:
  1. Houde Han and Xiaonan Wu, The mixed finite element method for Stokes equations on unbounded domains, J. Sys. Sci. \& Math. Scis., 5 (1985), 121-132.
  2. Houde Han and Xiaonan Wu, Approximation of infinite boundary conditions and its application to finite element methods, J. Comp. Math., 3 (1985), 179-192.
  3. Xiaonan Wu, Finite element analysis for axisymmetric Stokes equations of incompressible flow, Numer. Math., J. Chinese Univ. 9 (1987), 24-29.
  4. Houde Han and Xiaonan Wu, The approximation of the exact boundary conditions at an artificial boundary for linear elastic equations and its application, Math. Comput., 59 (1992), 21-37.
  5. Xiaonan Wu and Youlan Zhu, A highly accurate numerical method for two and three dimensional shock reflection problems, Comput. Fluids, 25 (1996), 295-317.
  6. R.A. Nicolaides and Xiaonan Wu, Analysis and Convergence of the MAC Scheme 2. Navier-Stokes equations, Math. Comput., 65 (1996), 29-44.
  7. D.S. Shafer, Xiaonan Wu and A. Zegeling, A numerical approach to bifurcations from quadratic centers, J. Math. Anal. Appl., 202 (1996), 90-107.
  8. Xiaonan Wu, E.M. Cliff and M.D. Gunzburger, An optimal design problem for a two dimensional flow in a duct, Optim. Contr. Appl. Meth., 17 (1996), 329-339.
  9. Xiaonan Wu and Houde Han, A finite element method for Laplace and Helmholtz type boundary value problems with singularities, SIAM J. Numer. Anal., 34 (1997), 1037-1050.
  10. R.A. Nicolaides and Xiaonan Wu, Covolume Solution of Three Dimensional Div-Curl Equations, SIAM J. Numer. Anal., 34 (1997), 2195-2203.
  11. Houde Han and Xiaonan Wu, A new mixed finite element formulation and the MAC method for the Stokes equations, SIAM J. Numer. Anal., 35 (1998), 560-571.
  12. Q. Du, R.A. Nicolaides and Xiaonan Wu, Analysis and convergence of a covolume approximation of the Ginzburg-Landau model of superconductivity, SIAM J. Numer. Anal., 35 (1998), 1049-1072.
  13. Q. Du and X. Wu, Numerical Solution of the Three-Dimensional Ginzburg-Landau Model Using Artificial Boundary, SIAM J. Numer. Anal., 36 (1999), 1482-1506.
  14. X. Wu and C.Y. Cheung, An Iteration Method Using Artificial Boundary for Some Elliptic Boundary Value Problems with Singularities, Int. J. Numer. Meth. Engng., 46 (1999), 1917-1931.
  15. H. Han, C. He and X. Wu, Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions, Numer. Math., 85 (2000), 367-386.
  16. Xiaonan Wu and Houde Han, Discrete boundary conditions for problems with interface, Comp. Meth. Appl. Mech. Eng., 190 (2001), 4987-4998.
  17. G.H. Golub, X. Wu and J.Y. Yuan, SOR-like methods for augmented systems. BIT, 41 (2001), 71-85.
  18. Xiaonan Wu and Youlan Zhu, A highly accurate numerical method for flow problems with interactions of discontinuities, J. Comp. Math., 20 (2002), 1-14.
  19. Xiaonan Wu and Weimin Xue, Discrete boundary conditions for elasticity problems with singularities, Comp. Meth. Appl. Mech. Eng., 192 (2003), 3777-3795.
  20. Houde Han and Xiaonan Wu, A fast numerical method for Black-Scholes equations of American options, SIAM J. Numer. Anal., 41 (2003), 2081-2095.
  21. Xiaonan Wu and Zhi-zhong Sun, Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions, Appl. Numer. Math., 50 (2004), 261-277.
  22. Jicheng Jin and Xiaonan Wu, The singular finite element method for some elliptic boundary value problems with interface, J. Comp. Appl. Math., 170 (2004), 197-216.
  23. You-lan Zhu, Xiaonan Wu and I-Liang Chern, Derivative Securities and Finite Difference Methods, (Book), Springer-Verlag New York, 2004.
  24. Xiaonan Wu and Jicheng Jin, A finite element method for Stokes equations using discrete singularity expansion, Comp. Meth. Appl. Mech. Eng., 194 (2005), 83-101.
  25. Zhi-zhong Sun and Xiaonan Wu, The stability and convergence of a difference scheme for the Schrodinger equation on an infinite domain by using artifial boundary conditions, J. Comp. Phy., 214 (2006), 209-223.
  26. Zhenli Xu, Houde Han and Xiaonan Wu, Adaptive absorbing boundary conditions for Schrodinger-type equations: application to nonlinear and multi-dimensional problems, J. Comp. Phy., 225 (2007), 1577-1589.
  27. Houde Han, Zhi-zhong Sun and Xiaonan Wu, Convergance of a difference scheme for the heat equation in a long strip, Numer. Meth. PDE., accepted.