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Journal Articles
- 2024
[j12]Lechang Qin, Changtao Sheng, Zhiguo Yang
:
A Highly Efficient and Accurate Divergence-Free Spectral Method for the Curl-Curl Equation in Two and Three Dimensions. SIAM J. Sci. Comput. 46(4): 2150- (2024)- 2023
- [j11]Bihao Su, Chenglong Xu, Changtao Sheng:
A new 'walk on spheres' type method for fractional diffusion equation in high dimensions based on the Feynman-Kac formulas. Appl. Math. Lett. 141: 108597 (2023) - [j10]Xiu Yang, Li-Lian Wang, Huiyuan Li, Changtao Sheng:
Müntz Ball Polynomials and Müntz Spectral-Galerkin Methods for Singular Eigenvalue Problems. J. Sci. Comput. 96(2): 59 (2023) - [j9]Changtao Sheng, Bihao Su, Chenglong Xu:
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions. SIAM J. Numer. Anal. 61(5): 2035-2061 (2023) - 2021
- [j8]Hongbin Chen, Chang-Tao Sheng, Li-Lian Wang:
On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes. Appl. Math. Lett. 113: 106864 (2021) - [j7]Hongyan Liu, Changtao Sheng, Li-Lian Wang, Huifang Yuan:
On Diagonal Dominance of FEM Stiffness Matrix of Fractional Laplacian and Maximum Principle Preserving Schemes for the Fractional Allen-Cahn Equation. J. Sci. Comput. 86(2): 19 (2021) - [j6]Changtao Sheng, Duo Cao, Jie Shen:
Efficient Spectral Methods for PDEs with Spectral Fractional Laplacian. J. Sci. Comput. 88(1): 4 (2021) - 2020
- [j5]Changtao Sheng, Jie Shen, Tao Tang, Li-Lian Wang, Huifang Yuan:
Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains. SIAM J. Numer. Anal. 58(5): 2435-2464 (2020) - 2019
- [j4]Jie Shen, Chang-Tao Sheng:
An Efficient Space-Time Method for Time Fractional Diffusion Equation. J. Sci. Comput. 81(2): 1088-1110 (2019) - 2016
- [j3]Zhong-Qing Wang, Chang-Tao Sheng:
An hp-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays. Math. Comput. 85(298): 635-666 (2016) - 2014
- [j2]Chang-Tao Sheng, Zhong-Qing Wang, Ben-yu Guo:
A Multistep Legendre-Gauss Spectral Collocation Method for Nonlinear Volterra Integral Equations. SIAM J. Numer. Anal. 52(4): 1953-1980 (2014) - 2011
- [j1]Changtao Sheng, Jiuliang Shi, Yao Ouyang:
Chebyshev's inequality for Choquet-like integral. Appl. Math. Comput. 217(22): 8936-8942 (2011)
Informal and Other Publications
- 2024
- [i8]Hongbin Chen, Changtao Sheng, Li-Lian Wang:
FEM on nonuniform meshes for nonlocal Laplacian: Semi-analytic Implementation in One Dimension. CoRR abs/2407.08988 (2024) - 2023
- [i7]Xiu Yang, Li-Lian Wang, Huiyuan Li, Changtao Sheng:
Müntz ball polynomials and Müntz spectral-Galerkin methods for singular eigenvalue problems. CoRR abs/2303.05020 (2023) - [i6]Lechang Qin, Changtao Sheng, Zhiguo Yang:
A highly efficient and accurate divergence-free spectral method for curl-curl equation in two and three dimensions. CoRR abs/2308.12865 (2023) - 2022
- [i5]Changtao Sheng, Bihao Su, Chenglong Xu:
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions. CoRR abs/2204.08860 (2022) - 2020
- [i4]Changtao Sheng, Suna Ma, Huiyuan Li, Li-Lian Wang, Lueling Jia:
Generalised Hermite functions and their applications in Spectral Approximations. CoRR abs/2002.05334 (2020) - [i3]Hongyan Liu, Changtao Sheng, Li-Lian Wang, Huifang Yuan:
On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for fractional Allen-Cahn equation. CoRR abs/2007.08183 (2020) - [i2]Hongbin Chen, Changtao Sheng, Li-Lian Wang:
On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes. CoRR abs/2009.04886 (2020) - 2019
- [i1]Changtao Sheng, Jie Shen, Tao Tang, Li-Lian Wang, Huifang Yuan:
Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains. CoRR abs/1908.10029 (2019)
Coauthor Index
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