Academic Profile : Faculty
Prof Wang Li-Lian
Professor, School of Physical & Mathematical Sciences - Division of Mathematical Sciences
Email
External Links
Journal Articles
(Not applicable to NIE
staff as info will be
pulled from PRDS)
(Not applicable to NIE
staff as info will be
pulled from PRDS)
Highly Cited:
Guo, B. Y., & Wang, L. L. (2004). Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces. Journal of Approximation Theory, 128(1), 1-41.
Guo, B. Y., Shen, J., & Wang, L. L. (2006). Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Journal of Scientific Computing, 27(1), 305-322.
Ben-Yu, G., & Li-Lian, W. (2001). Jacobi interpolation approximations and their applications to singular differential equations. Advances in Computational Mathematics, 14(3), 227-276.
Guo, B. Y., Shen, J., & Wang, L. L. (2009). Generalized Jacobi polynomials/functions and their applications. Applied Numerical Mathematics, 59(5), 1011-1028.
Shen, J., & Wang, L. L. (2007). Fourierization of the Legendre–Galerkin method and a new space–time spectral method. Applied Numerical Mathematics, 57(5-7), 710-720.
Ben-Yu, G., Li-Lian, W., & Zhong-Qing, W. (2006). Generalized Laguerre interpolation and pseudospectral method for unbounded domains. SIAM Journal on Numerical Analysis, 43(6), 2567-2589.
Shen, J., & Wang, L. L. (2005). Spectral approximation of the Helmholtz equation with high wave numbers. SIAM Journal on Numerical Analysis, 43(2), 623-644.
Shen, J., & Wang, L. L. (2007). Analysis of a spectral-Galerkin approximation to the Helmholtz equation in exterior domains. SIAM Journal on Numerical Analysis, 45(5), 1954-1978.
Shen, J., & Wang, L. L. (2010). Sparse spectral approximations of high-dimensional problems based on hyperbolic cross. SIAM Journal on Numerical Analysis, 48(3), 1087-1109.
Oh, J. H., Kim, J. Y., Kim, W. S., Gong, H. S., & Lee, J. H. (2008). The evaluation of various physical examinations for the diagnosis of type II superior labrum anterior and posterior lesion. The American Journal of Sports Medicine, 36(2), 353-359.
Click here for more publications.
Recent Publication:
Zhou, B., Wang, B., Wang, L. L., & Xie, Z. (2022). A hybridizable discontinuous triangular spectral element method on unstructured meshes and its hp-error estimates. Numerical Algorithms, 1-30.
Sheng, C., Ma, S., Li, H., Wang, L. L., & Jia, L. (2021). Nontensorial generalised hermite spectral methods for PDEs with fractional Laplacian and Schrödinger operators. ESAIM: Mathematical Modelling and Numerical Analysis, 55(5), 2141-2168.
Yang, Z., Wang, L. L., & Gao, Y. (2021). A truly exact perfect absorbing layer for time-harmonic acoustic wave scattering problems. SIAM Journal on Scientific Computing, 43(2), A1027-A1061.
Yang, Y., Wang, L. L., & Zeng, F. (2021). Analysis of a backward Euler-type scheme for Maxwell’s equations in a Havriliak–Negami dispersive medium. ESAIM: Mathematical Modelling and Numerical Analysis, 55(2), 479-506.
Chen, H., Sheng, C., & Wang, L. L. (2021). On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes. Applied Mathematics Letters, 113, 106864.
Ying Gu, Wei Xiong, Li-Lian Wang and Jierong Cheng. (2017). Generalizing Mumford-Shah model for multiphase piecewise smooth image segmentation. IEEE Transactions on Image Processing, 26(2), 942-952.
Haixia Dong, Bo Wang, Ziqing Xie and Li-Lian Wang. (2017). An unfitted hybridizable DG method for the Poisson interface problem and its error analysis. IMA Journal of Numerical Analysis, 37, 444-476.
Sheng Chen, Jie Shen and Li-Lian Wang. (2016). Generalized Jacobi functions and their applications to fractional differential equations. Mathematics of Computation, 85(300), 1603-1638.
Zhiguo Yang, Li-Lian Wang, Zhijian Rong, Bo Wang and Baile Zhang. (2016). Seamless integration of global Dirichlet-to-Neumann boundary condition and spectral elements for transformation electromagnetics. Computer Methods in Applied Mechanics and Engineering, 301, 137-163.
Yujian Jiao, Li-Lian Wang and Can Huang. (2016). Well-conditioned fractional collocation methods using fractional Birkhoff interpolation basis. Journal of Computational Physics, 305, 1-28.
Guo, B. Y., & Wang, L. L. (2004). Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces. Journal of Approximation Theory, 128(1), 1-41.
Guo, B. Y., Shen, J., & Wang, L. L. (2006). Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Journal of Scientific Computing, 27(1), 305-322.
Ben-Yu, G., & Li-Lian, W. (2001). Jacobi interpolation approximations and their applications to singular differential equations. Advances in Computational Mathematics, 14(3), 227-276.
Guo, B. Y., Shen, J., & Wang, L. L. (2009). Generalized Jacobi polynomials/functions and their applications. Applied Numerical Mathematics, 59(5), 1011-1028.
Shen, J., & Wang, L. L. (2007). Fourierization of the Legendre–Galerkin method and a new space–time spectral method. Applied Numerical Mathematics, 57(5-7), 710-720.
Ben-Yu, G., Li-Lian, W., & Zhong-Qing, W. (2006). Generalized Laguerre interpolation and pseudospectral method for unbounded domains. SIAM Journal on Numerical Analysis, 43(6), 2567-2589.
Shen, J., & Wang, L. L. (2005). Spectral approximation of the Helmholtz equation with high wave numbers. SIAM Journal on Numerical Analysis, 43(2), 623-644.
Shen, J., & Wang, L. L. (2007). Analysis of a spectral-Galerkin approximation to the Helmholtz equation in exterior domains. SIAM Journal on Numerical Analysis, 45(5), 1954-1978.
Shen, J., & Wang, L. L. (2010). Sparse spectral approximations of high-dimensional problems based on hyperbolic cross. SIAM Journal on Numerical Analysis, 48(3), 1087-1109.
Oh, J. H., Kim, J. Y., Kim, W. S., Gong, H. S., & Lee, J. H. (2008). The evaluation of various physical examinations for the diagnosis of type II superior labrum anterior and posterior lesion. The American Journal of Sports Medicine, 36(2), 353-359.
Click here for more publications.
Recent Publication:
Zhou, B., Wang, B., Wang, L. L., & Xie, Z. (2022). A hybridizable discontinuous triangular spectral element method on unstructured meshes and its hp-error estimates. Numerical Algorithms, 1-30.
Sheng, C., Ma, S., Li, H., Wang, L. L., & Jia, L. (2021). Nontensorial generalised hermite spectral methods for PDEs with fractional Laplacian and Schrödinger operators. ESAIM: Mathematical Modelling and Numerical Analysis, 55(5), 2141-2168.
Yang, Z., Wang, L. L., & Gao, Y. (2021). A truly exact perfect absorbing layer for time-harmonic acoustic wave scattering problems. SIAM Journal on Scientific Computing, 43(2), A1027-A1061.
Yang, Y., Wang, L. L., & Zeng, F. (2021). Analysis of a backward Euler-type scheme for Maxwell’s equations in a Havriliak–Negami dispersive medium. ESAIM: Mathematical Modelling and Numerical Analysis, 55(2), 479-506.
Chen, H., Sheng, C., & Wang, L. L. (2021). On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes. Applied Mathematics Letters, 113, 106864.
Ying Gu, Wei Xiong, Li-Lian Wang and Jierong Cheng. (2017). Generalizing Mumford-Shah model for multiphase piecewise smooth image segmentation. IEEE Transactions on Image Processing, 26(2), 942-952.
Haixia Dong, Bo Wang, Ziqing Xie and Li-Lian Wang. (2017). An unfitted hybridizable DG method for the Poisson interface problem and its error analysis. IMA Journal of Numerical Analysis, 37, 444-476.
Sheng Chen, Jie Shen and Li-Lian Wang. (2016). Generalized Jacobi functions and their applications to fractional differential equations. Mathematics of Computation, 85(300), 1603-1638.
Zhiguo Yang, Li-Lian Wang, Zhijian Rong, Bo Wang and Baile Zhang. (2016). Seamless integration of global Dirichlet-to-Neumann boundary condition and spectral elements for transformation electromagnetics. Computer Methods in Applied Mechanics and Engineering, 301, 137-163.
Yujian Jiao, Li-Lian Wang and Can Huang. (2016). Well-conditioned fractional collocation methods using fractional Birkhoff interpolation basis. Journal of Computational Physics, 305, 1-28.