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Changtao Sheng
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A Multistep Legendre-Gauss Spectral Collocation Method for Nonlinear Volterra Integral Equations
CT Sheng, ZQ Wang, BY Guo
SIAM Journal on Numerical Analysis 52 (4), 1953-1980, 2014
712014
Fast Fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs with integral fractional Laplacian in unbounded domains
C Sheng, J Shen, T Tang, LL Wang, H Yuan
SIAM Journal on Numerical Analysis 58 (5), 2435-2464, 2020
572020
Generalized Jacobi spectral-Galerkin method for nonlinear Volterra integral equations with weakly singular kernels
J Shen, C Sheng, Z Wang
J. Math. Study 48 (4), 315-329, 2015
522015
An ℎ𝑝-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays
ZQ Wang, CT Sheng
Mathematics of Computation 85 (298), 635-666, 2016
502016
An Efficient Space-Time Method for Time Fractional Diffusion Equation
J Shen, CT Sheng
Journal of Scientific Computing 81 (2), 1088-1110, 2019
262019
An hp-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays
C Sheng, Z Wang, B Guo
Applied Numerical Mathematics 105, 1-24, 2016
262016
A hybrid spectral element method for fractional two-point boundary value problems
C Sheng, J Shen
Numerical Mathematics: Theory, Methods and Applications 10 (2), 437-464, 2017
242017
A space-time Petrov-Galerkin spectral method for time fractional diffusion equation
C Sheng, J Shen
Numer. Math. Theory Methods Appl 11, 854-876, 2018
212018
On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for the fractional Allen–Cahn equation
H Liu, C Sheng, LL Wang, H Yuan
Journal of Scientific Computing 86, 1-28, 2021
132021
Efficient Monte Carlo method for integral fractional Laplacian in multiple dimensions
C Sheng, B Su, C Xu
SIAM Journal on Numerical Analysis 61 (5), 2035-2061, 2023
102023
Spectral methods for fractional differential equations using generalized Jacobi functions
J Shen, C Sheng
Handbook of Fractional Calculus with Applications: Numerical Methods 3, 127-155, 2019
102019
Nontensorial generalised Hermite spectral methods for PDEs with fractional Laplacian and Schrodinger operators
C Sheng, S Ma, H Li, LL Wang, L Jia
ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN) 55 (5 …, 2021
92021
Efficient spectral methods for PDEs with spectral fractional Laplacian
C Sheng, D Cao, J Shen
Journal of Scientific Computing 88 (1), 4, 2021
92021
Fundamental Gaps of the Fractional Schr\" odinger Operator
W Bao, X Ruan, J Shen, C Sheng
Communications in Mathematical Sciences 17 (2), 447–471, 2019
92019
On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes
H Chen, C Sheng, LL Wang
Applied Mathematics Letters 113, 106864, 2021
82021
Chebyshev’s inequality for Choquet-like integral
C Sheng, J Shi, Y Ouyang
Applied mathematics and computation 217 (22), 8936-8942, 2011
72011
A Chebyshev spectral collocation method for nonlinear Volterra integral equations with vanishing delays
Z Wang, C Sheng, H Jia, D Li
East Asian J. Appl. Math 8 (2), 233-260, 2018
52018
A hybrid spectral element method for Volterra integral equations with weakly singular kernel
C Sheng, J SHEN
SCIENTIA SINICA Mathematica 46 (7), 1017-1036, 2016
52016
Fast implementation of FEM for integral fractional Laplacian on rectangular meshes
C Sheng, L Wang, H Chen, H Li
Communications in Computational Physics, 2023
32023
A new ‘walk on spheres’ type method for fractional diffusion equation in high dimensions based on the Feynman–Kac formulas
B Su, C Xu, C Sheng
Applied Mathematics Letters 141, 108597, 2023
22023
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