Sheng Chen
Sheng Chen
Research Center for Mathematics, Advanced Institute of Natural Science, Beijing Normal University at
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Generalized Jacobi functions and their applications to fractional differential equations
S Chen, J Shen, LL Wang
Mathematics of Computation 85 (300), 1603-1638, 2016
Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations
Z Mao, S Chen, J Shen
Applied Numerical Mathematics 106, 165-181, 2016
Laguerre functions and their applications to tempered fractional differential equations on infinite intervals
S Chen, J Shen, LL Wang
Journal of Scientific Computing 74, 1286-1313, 2018
A spectrally accurate approximation to subdiffusion equations using the log orthogonal functions
S Chen, J Shen, Z Zhang, Z Zhou
SIAM Journal on Scientific Computing 42 (2), A849-A877, 2020
An efficient and accurate numerical method for the spectral fractional Laplacian equation
S Chen, J Shen
Journal of Scientific Computing 82 (1), 17, 2020
Enriched spectral methods and applications to problems with weakly singular solutions
S Chen, J Shen
Journal of Scientific Computing 77, 1468-1489, 2018
Log orthogonal functions: approximation properties and applications
S Chen, J Shen
IMA Journal of Numerical Analysis 42 (1), 712-743, 2022
New spectral element method for Volterra integral equations with weakly singular kernel
C Zhang, Z Liu, S Chen, DY Tao
Journal of Computational and Applied Mathematics 404, 113902, 2022
Efficient hermite spectral methods for space tempered fractional diffusion equations
T Cui, S Chen, Y Jiao
East Asian Journal on Applied Mathematics 11 (1), 43-62, 2021
High-accuracy numerical approximations to several singularly perturbed problems and singular integral equations by enriched spectral Galerkin methods
S Chen
J. Math. Study 53 (2), 143-158, 2020
Log Orthogonal Functions in Semi-Infinite Intervals: Approximation Results and Applications
S Chen, J Shen
SIAM Journal on Numerical Analysis 61 (1), 110-134, 2023
An exponential convergence approximation to singularly perturbed problems by Log orthogonal functions
S Chen, Z Zhang
Calcolo 59 (3), 30, 2022
Non-Isotropic Jacobi Spectral and Pseudospectral Methods in Three Dimensions
Y Jiao, S Chen, B Guo
J. Math. Study 48 (3), 222-249, 2015
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