Associate Professor Wang Li-Lian

Papers in refereed journals

  1. A direct approach towards global minimization for multiphase labeling and segmentation problems (with Ying Gu and Xue-Cheng Tai). Accepted by IEEE Transactions on Image Processing, Dec. 2011.     [PDF]

  2. On exponential convergence of Gegenbauer interpolation and spectral differentiation (with Ziqing Xie and Xiaodan Zhao). Accepted by Mathematics of Computation, Nov. 2011.     [PDF]

  3. Geometry of total variation regularized L^p-model (with Yuying Shi and Xue-Cheng Tai). Journal of Computational and Applied Mathematics, Vol. 236, 2223-2234, 2012.     [PDF]

  4. Adaptive wavelet collocation methods for image segmentation using TV-Allen-Cahn type models (with Zhijian Rong and Xue-Cheng Tai). Advances in Computational Mathematics, DOI 10.1007/s10444-011-9227-y, 2011.     [PDF]

  5. Fast algorithms for the anisotropic LLT model in image denoising (with Zhifeng Pang and Yufei Yang). East Asian Journal on Applied Mathematics, Vol. 1, No. 3, 264-283, 2011.     [PDF]

  6. On spectral approximations by generalized Slepian functions (with Jing Zhang). Numerical Mathematics: Theory, Methods and Applications, Vol. 4, 296-318, 2011.     [PDF]

  7. Efficient dual algorithms for image segmentation using TV-Allen-Cahn type models (with Ying Gu). Communications in Computational Physics, Vol. 9, No. 4, 859-877, 2011.     [PDF]

  8. An improved estimate of PSWF approximation and approximation by Mathieu functions (with Jing Zhang). Journal of Mathematical Analysis and Applications, Vol. 379, 35-47, 2011.     [PDF]

  9. A prolate-element method for nonlinear PDEs on the sphere (with Jing Zhang and Zhijian Rong). Journal of Scientific Computing, Vol. 47, 73-92, 2011.     [PDF]

  10. Sparse spectral approximations of high-dimensional problems based on hyperbolic cross (with Jie Shen). SIAM Journal on Numerical Analysis, Vol. 48, No. 3, 1087-1109, 2010.     [PDF]

  11. A two-level domain decomposition method for image restoration (with Jing Xu and Xue-Cheng Tai). Inverse Problem and Imaging, Vol. 4, No. 3, 523-545, 2010.     [PDF]

  12. A new generalization of the PSWFs with applications to spectral approximations on quasi-uniform grids (with Jing Zhang). Applied and Computational Harmonic Analysis, Vol. 29, No. 3, 523-545, 2010.     [PDF]

  13. A Legendre-Gauss collocation method for nonlinear delay differential equations (with Zhongqing Wang). Discrete and Continuous Dynamical Systems-B, Vol. 13, No. 3, 685-708, 2010.     [PDF]

  14. A spectral method on tetrahedra using rational basis functions (with Huiyuan Li). International Journal of Numerical Analysis and Modeling, Vol. 7, No. 2, 330-355, 2010.     [PDF]

  15. A collocation method with exact imposition of mixed boundary conditions (with Zhongqing Wang). Journal of Scientific Computing, Vol. 42, 291-317, 2010.     [PDF]

  16. Analysis of spectral approximations using prolate spheroidal wave functions. Mathematics of Computation, Vol. 79, No. 270, 807-827, 2010.     [PDF]

  17. Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature (with Benyu Guo). Journal of Approximation Theory, Vol. 161, 142-173, 2009.     [PDF]

  18. An efficient and accurate spectral method for acoustic scattering in elliptic domains (with Jie Shen and Qirong Fang). Numerical Mathematics: Theory, Methods and Applications, Vol. 2, No. 3, 258-274, 2009.     [PDF]

  19. A triangular spectral element method using fully tensorial rational basis functions (with Jie Shen and Huiyuan Li). SIAM Journal on Numerical Analysis, Vol. 47, No. 3, 1619-1650, 2009.     [PDF]

  20. On spectral approximations in elliptic geometries using Mathieu functions (with Jie Shen). Mathematics of Computation, Vol. 78, No. 266, 815-844, 2009.     [PDF]

  21. Some recent advances on spectral methods for unbounded domains (with Jie Shen). Communications in Computational Physics, Vol. 5, No. 2-4, 195-241, 2009.     [PDF]

  22. Generalized Jacobi polynomials/functions and their applications (with Benyu Guo and Jie Shen). Applied Numerical Mathematics, Vol. 59, 1011-1028, 2009.     [PDF]

  23. Integration process of ordinary differential equations based on Laguerre-Radau interpolations (with Benyu Guo, Zhongqing Wang and Hongjiong Tian). Mathematics of Computation, Vol. 77, 181-199,2008.     [PDF]

  24. Analysis of a spectral-Galerkin approximation to the Helmholtz equation in exterior domains (with Jie Shen). SIAM Journal on Numerical Analysis, Vol. 45, 1954-1978, 2007.     [PDF]

  25. Legendre and Chebyshev dual-Petrov-Galerkin methods for hyperbolic equations (with Jie Shen). Computer Methods in Applied Mechanics and Engineering, Vol. 196, 3785-3797, 2007.     [PDF]

  26. Fourierization of the Legendre-Galerkin method and a new space-time spectral method (with Jie Shen). Applied Numerical Mathematics Vol. 57, 710-720, 2007.     [PDF]

  27. Error analysis of spectral method on a triangle (with Benyu Guo). Advances in Computational Mathematics, Vol. 26, No. 4, 473-496, 2007.     [PDF]

  28. 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, 1381-1402, 2006.     [PDF]

  29. Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation (with Benyu Guo). Journal of Computational and Applied Mathematics, Vol. 190, 304-324, 2006.     [PDF]

  30. Optimal spectral-Galerkin methods using generalized Jacobi polynomials (with Benyu Guo and Jie Shen). Journal of Scientific Computing, Vol. 27, No. 1-3, 305-322, 2006.     [PDF]

  31. Stair Laguerre pseudospectral method for differential equations on the half line (with Benyu Guo). Advances in Computational Mathematics, Vol. 25, 305-322, 2006.     [PDF]

  32. Generalized Laguerre interpolation and pseudospectral method for unbounded domains (with Benyu Guo and Zhongqing Wang). SIAM Journal on Numerical Analysis, Vol. 43, No. 6, 2567-2589, 2006.     [PDF]

  33. Mixed Fourier-Jacobi spectral method (with Benyu Guo). Journal of Mathematical Analysis and Applications, Vol. 315, No. 1, 8-28, 2006.     [PDF]

  34. Spectral approximation of the Helmholtz equation with high wave numbers (with Jie Shen). SIAM Journal on Numerical Analysis, Vol. 43, 623-644, 2005.     [PDF]

  35. Error analysis for mapped Jacobi spectral methods (with Jie Shen). Journal of Scientific Computing, Vol. 24, No. 2, 183-218, 2005.     [PDF]

  36. Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces (with Benyu Guo). Journal of Approximation Theory, Vol. 128, No. 1, 1-41, 2004.     [PDF]

  37. Error analysis for mapped Legendre spectral and pseudospectral methods (with Jie Shen). SIAM Journal on Numerical Analysis, Vol. 42, 326-349, 2004.     [PDF]

  38. Non-isotropic Jacobi spectral methods for unbounded domains (with Benyu Guo). Numerical Mathematics: Theory, Methods and Applications, Vol. 13, No. 2, 204-224, 2004.

  39. Jacobi spectral methods for multiple-dimensional singular differential equations (with Benyu Guo). Journal of Computational Mathematics, Vol. 21, No. 3, 325-338, 2003.

  40. A rational spectral method for singular differential equations (with Benyu Guo and Zhongqing Wang). Numerical Mathematics: Theory, Methods and Applications, Vol. 12, No. 2, 121-128, 2003.

  41. Non-isotropic Jacobi spectral method (with Benyu Guo). Contemporary Mathematics. Vol. 329, 157-169, 2003.

  42. A generalized Gauss-type quadrature formula and its applications to pseudospectral method (with Benyu Guo and Zhongqing Wang). Numerical Mathematics: Theory, Methods and Applications. Vol. 11, No. 2, 179-196, 2002.

  43. Jacobi interpolation approximations and their applications to singular differential equations (with Benyu Guo). Advances in Computational Mathematics, Vol. 14, No. 3, 227-276, 2001.     [PDF]

 

Papers in refereed conference proceedings

  1. Robust edge detectiion using Mumford-Shah and binary level set method (with Yuying Shi and Xue-Cheng Tai). Accepted by Lecture Notes in Computer Sciences. Proceeding of International Conference on Scale Space and Variational Methods in Computer Vision (SSVM2011).     [PDF]

  2. A new spectral method on triangles (with Youyun Li, Huiyuan Li and Heping Ma). Lecture Notes in Computational Sciences and Engineering. Proceeding of International Conference on Spectral and High-Order Methods (ICOSAHOM09), 237-246, 2010.     [PDF]

Last modified in December 2011 by Li-Lian Wang.

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