Assistant Professor Wang Li-Lian
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Recent Papers in Refereed Journals
  1. On spectral approximations in elliptic geometries using Mathieu functions (with Jie Shen). To appear in Math. Comp.
  2. Some recent advances on spectral methods for unbounded domains (with Jie Shen). To appear in Commun. Comput. Phys.
  3. Generalized Jacobi polynomials/functions and their applications (with Benyu Guo and Jie Shen). To appear in Appl. Numer. Math.
  4. Integration process of ordinary differential equations based on Laguerre-Radau interpolations (with Benyu Guo, Zhongqing Wang, and Hongjiong Tian). Math. Comp. 77, 181-199,2008.
  5. Analysis of a spectral-Galerkin approximation to the Helmholtz equation in exterior domains (with Jie Shen). SIAM J. Numer. Anal. 45:1954-1978, 2007.
  6. Legendre and Chebyshev dual-Petrov-Galerkin methods for hyperbolic equations (with Jie Shen). Computer Methods in Applied Mechanics and Engineering. 196, 3785-3797 (2007).
  7. Fourierization of the Legendre-Galerkin method and a new space-time spectral method (with Jie Shen). Appl. Numer. Math. Vol. 57, pp. 710-720 (2007).
  8. Error analysis of spectral method on a triangle (with Benyu Guo). Adv. Comput. Math. Vol. 26, No. 4, pp. 473-496 (2007).
  9. Laguerre and composite Legendre-Laguerre dual-Petrov-Galerkin methods for third-order equations (with Jie Shen). Discrete and Continuous Dynamical Systems-B. Vol. 6, No. 6, pp. 1381-1402 (2006).
  10. Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation (with Benyu Guo). J. Comput. Appl. Math. Vol. 190, pp. 304-324 (2006).
  11. Optimal spectral-Galerkin methods using generalized Jacobi polynomials (with Benyu Guo and Jie Shen). J. Sci. Comput. Vol. 27, No. 1-3, pp. 305-322 (2006).
  12. Stair Laguerre pseudospectral method for differential equations on the half line (with Benyu Guo).
    Adv. Comput. Math. Vol. 25, pp. 305-322 (2006).
  13. Generalized Laguerre interpolation and pseudospectral method for unbounded domains
    (with Benyu Guo and Zhongqing Wang). SIAM J. Numer. Anal. Vol. 43, No. 6, pp. 2567-2589 (2006).
  14. Mixed Fourier-Jacobi spectral method (with Benyu Guo). J. Math. Anal. Appl. Vol. 315, Issue 1, 8-28 (2006)
  15. Spectral approximation of the Helmholtz equation with high wave numbers (with Jie Shen). SIAM J. Numer. Anal. Vol. 43, 623-644 (2005).
  16. Error analysis for mapped Jacobi spectral methods (with Jie Shen). J. Sci. Comput. Vol. 24, No. 2, 183-218 (2005).
  17. Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces (with Benyu Guo). J. Approx. Theor., Vol. 128, No. 1, pp. 1-41 (2004).
  18. Error analysis for mapped Legendre spectral and pseudospectral methods (with Jie Shen). SIAM J. Numer. Anal. Vol. 42, pp. 326-349 (2004).
  19. Jacobi interpolation approximations and their applications to singular differential equations (with Benyu Guo). Adv. Comput. Math., Vol. 14, No. 3, pp. 227-276 (2001).
Book
  1. Jie Shen, Tao Tang and Li-Lian Wang. Spectral Methods: Algorithms, Analysis and Applications (Accepted for publication in Springer series in Computational Mathematics).
Papers in review
  1. GLLB interpolation approximation and a new collocation method for Neumann problems (with Benyu Guo).
  2. A triangular spectral element method using fully tensorial rational basis functions (with Jie Shen and Huiyuan Li).
  3. Analysis of spectral approximations using prolate spheroidal wave functions.

Last modified on July 16, 2008 by Wang Li-Lian .

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