Selected Publications:
  1. Houde Han and Xiaonan Wu, Approximation of infinite boundary conditions and its application to finite element methods, J. Comp. Math., 3 (1985), 179-192.
  2. 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.
  3. Xiaonan Wu and Youlan Zhu, A highly accurate numerical method for two and three dimensional shock reflection problems, Comput. Fluids, 25 (1996), 295-317.
  4. R.A. Nicolaides and Xiaonan Wu, Analysis and Convergence of the MAC Scheme 2. Navier-Stokes equations, Math. Comput., 65 (1996), 29-44.
  5. 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.
  6. 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.
  7. R.A. Nicolaides and Xiaonan Wu, Covolume Solution of Three Dimensional Div-Curl Equations, SIAM J. Numer. Anal., 34 (1997), 2195-2203.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. Xiaonan Wu and Houde Han, Discrete boundary conditions for problems with interface, Comp. Meth. Appl. Mech. Eng., 190 (2001), 4987-4998.
  14. G.H. Golub, X. Wu and J.Y. Yuan, SOR-like methods for augmented systems. BIT, 41 (2001), 71-85.
  15. Xiaonan Wu and Youlan Zhu, A highly accurate numerical method for flow problems with interactions of discontinuities, J. Comp. Math., 20 (2002), 1-14.
  16. Xiaonan Wu and Weimin Xue, Discrete boundary conditions for elasticity problems with singularities, Comp. Meth. Appl. Mech. Eng., 192 (2003), 3777-3795.
  17. Houde Han and Xiaonan Wu, A fast numerical method for Black-Scholes equations of American options, SIAM J. Numer. Anal., 41 (2003), 2081-2095.
  18. 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.
  19. 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.
  20. You-lan Zhu, Xiaonan Wu and I-Liang Chern, Derivative Securities and Finite Difference Methods, (Book), Springer-Verlag New York, 2004.
  21. 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.
  22. 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.
  23. 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.
  24. Houde Han, Zhi-zhong Sun and Xiaonan Wu, Convergence of a difference scheme for the heat equation in a long strip, Numer. Meth. PDE., 24 (2008), 272-295.
  25. Xiaonan Wu and Jiwei Zhang, Artificial boundary method for two-dimensional Burgers' equation, Comp. Math. Appl., 56 (2008), 242-256.
  26. Jiwei Zhang, Zhenli Xu, and Xiaonan Wu, Unified approach to spit absorbing boundary conditions for nonlinear Schrodinger equations, Phys. Rev. E, 78 (2008), 026709.
  27. Zhi-zhong Sun and Xiaonan Wu, A difference scheme for Burgers' equation in an unbounded domain, Appl. Math. Comp., 209 (2009), 285-304.
  28. Jiwei Zhang, Zhenli Xu, and Xiaonan Wu, Unified approach to split absorbing boundary conditions for nonlinear Schrodinger equations: Two-dimensional case, Phys. Rev. E, 79 (2009), 046711.
  29. Houde Han and Xiaonan Wu, Artificial Boundary Method, (Book, in Chinese) Tsinghua University Press, Beijing, 2009.
  30. Hermann Brunner, Xiaonan Wu and Jiwei Zhang, Computational solution of blow-up problems for semilinear parabolic PDEs on unbounded domains, SIAM J. Sci. Comp., 31 (2010), 4478-4496.
  31. Jicheng Jin and Xiaonan Wu, Convergence of a finite element scheme for the two-dimensional time-dependent Schrodinger equation in a long strip, J. Comp. Appl. Math., 234 (2010), 777-793.
  32. Xiaonan Wu and Jiwei Zhang, High order local absorbing boundary conditions for heat equations in unbounded domains, J. Comp. Math., 29 (2011), 74-90.