HomeResearch
Experience
Apr. 2017–Present, Lecturer, Department of Mathematics, Harbin Institute of Technology
Aug. 2018–Oct. 2018, Research Fellow, Nanyang Technological University
Nov. 2016–Nov. 2017, Research Fellow, Nanyang Technological University
Dec. 2014–Dec. 2015, Visiting scholar, Nanyang Technological University
Education
2012/09 - 2016/07, Doctor of Science, Computational Mathematics, Harbin Institute of Technology
2010/09- 2012/07,Master of Science, Computational Mathematics, Harbin Institute of Technology
2006/09 - 2010/07, Bachelor of Science, Information and computing science, Henan University of Science and Technology
Research Interests
Spectral methods and applications, hp-FEM, Nosmooth (Singularity) problems, PDEs in domains with corners
Research Grants
Nov. 2017–Present, Project funded by China Postdoctoral Science Foundation. PI: Wenjie Liu, Total amount: ¥80,000.
Jan. 2019–Dec. 2021, National Natural Science Foundation of China. PI: Wenjie Liu, Total amount: ¥260,000.
Publications
[14] Wenjie Liu, Li-Lian Wang, Huiyuan Li. Optimal error estimates for Chebyshev approximations of functions with limited regularity in fractional Sobolev-type spaces. Mathematics of Computation, DOI: https://doi.org/10.1090/mcom/3456,2019.
[13] Jinwei Fang, Boying Wu*, Wenjie Liu. An explicit spectral collocation method using non-polynomial basis functions for the time-dependent Schrodinger equation. Mathematical Methods in the Applied Sciences.Vol. 42, No. 1, 186-203, 2019.
[12] Tianjun Wang, Yujian Jiao*, Wenjie Liu. Pseudospectral method for Fisher equation in a disk, Applied Mathematics and Computation. Vol. 343, 30-48, 2019.
[11] Chao Zhang*, Li-Lian Wang, Dongqin Gu, Wenjie Liu. On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains, Journal of Computational and Applied Mathematics, Vol. 344, 553–571, 2018.
[10] Yujian Jiao, Tianjun Wang*, Xiandong Shi, Wenjie Liu. Mixed Jacobi-Fourier spectral method for Fisher equation, Mathematical Modelling and Analysis, Vol. 23, 240–261, 2018.
[9] Wenjie Liu , Boying Wu*. High-order implicit Galerkin-Legendre spectral method for the two-dimensional Schrodinger equation, Applied Mathematics and Computation, Vol. 324, 59–68, 2018.
[8] Jinwei Fang, Boying Wu*, Wenjie Liu. An explicit spectral collocation method for the Korteweg-de Vries equation on unbounded domain, Applied Numerical Mathematics, Vol. 126, 34–52, 2018.
[7] Yingying Shan, Wenjie Liu* , Boying Wu. Space-time Legendre-Gauss-Lobatto collocation method for two-dimensional generalized sine-Gordon equation, Applied Numerical Mathematics, Vol. 122, 92–107, 2017.
[6] Chao Zhang, Wenjie Liu, Li-Lian Wang*. A new collocation scheme using non-polynomial basis functions, Journal of Scientific Computing, Vol. 70, 793–818, 2017.
[5] Wenjie Liu, Jiebao Sun, Boying Wu*. Space-time spectral method for two-dimensional semilinear parabolic equations, Mathematical Methods in the Applied Sciences, Vol. 39, No. 7, 1646–1661, 2016.
[4] Wenjie Liu, Jiebao Sun, Boying Wu*. Galerkin-Chebyshev spectral method and block boundary value methods for two-dimensional semilinear parabolic equations, Numerical Algorithms, Vol. 71, No. 2, 437–455, 2016.
[3] Wenjie Liu, Jiebao Sun, Boying Wu*. Space-time spectral method for the two-dimensional generalized sine-Gordon equation, Journal of Mathematical Analysis and Applications, Vol. 427, No. 2, 787–804, 2015.
[2] Wenjie Liu, Boying Wu, Jiebao Sun*. Space-time spectral collocation method for the one-dimensional sine-Gordon equation, Numerical Methods for Partial Differential Equations, Vol. 31, No. 3, 670–690, 2015.
[1] Wenjie Liu, Boying Wu, Jiebao Sun*. Some methods to solving highly oscillatory second–order initial value problems, Journal of Computational Physics, Vol. 276, 235–251, 2014.
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