Changtao Sheng

23 papers Journal 23
YearRankTypeTitle / Venue / Authors
2026 J jnl
FNWoS: Fractional Neural Walk-on-Spheres Methods for High-Dimensional PDEs Driven by α-stable Lévy Process on Irregular Domains.
CoRR
Ling Guo, Mingxin Qin, Changtao Sheng, Hao Wu, Fanhai Zeng
2026 J jnl
On Probabilistic Methods for Linear PDEs Involving Variable-Order fractional Laplacian in High Dimensions.
J. Sci. Comput.
Zhiyuan Hui, Huan Liu, Changtao Sheng, Chenglong Xu
2025 J jnl
A derivative-free localized stochastic method for very high-dimensional semilinear parabolic PDEs.
CoRR
Shuixin Fang, Changtao Sheng, Bihao Su, Tao Zhou
2025 J jnl
An Efficient Finite Element Method for Multi-dimensional Nonlocal Laplacian on Uniform Grids.
CoRR
Changtao Sheng, Huiyuan Li, Huifang Yuan, Li-Lian Wang
2025 J jnl
An implicit-explicit Monte Carlo method for semi-linear PDEs driven by α-stable Lévy process and its error estimates.
Math. Comput.
Changtao Sheng, Bihao Su, Chenglong Xu
2025 J jnl
Efficient implicit-explicit sparse stochastic method for high dimensional semi-linear nonlocal diffusion equations.
CoRR
Changtao Sheng, Bihao Su, Chenglong Xu
2025 J jnl
Exponentially accurate spectral Monte Carlo method for linear PDEs and their error estimates.
CoRR
Jiaying Feng, Changtao Sheng, Chenglong Xu
2024 J jnl
A Highly Efficient and Accurate Divergence-Free Spectral Method for the Curl-Curl Equation in Two and Three Dimensions.
SIAM J. Sci. Comput.
Lechang Qin, Changtao Sheng, Zhiguo Yang
2024 J jnl
FEM on nonuniform meshes for nonlocal Laplacian: Semi-analytic Implementation in One Dimension.
CoRR
Hongbin Chen, Changtao Sheng, Li-Lian Wang
2023 J jnl
A highly efficient and accurate divergence-free spectral method for curl-curl equation in two and three dimensions.
CoRR
Lechang Qin, Changtao Sheng, Zhiguo Yang
2023 J jnl
A new 'walk on spheres' type method for fractional diffusion equation in high dimensions based on the Feynman-Kac formulas.
Appl. Math. Lett.
Bihao Su, Chenglong Xu, Changtao Sheng
2023 J jnl
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions.
SIAM J. Numer. Anal.
Changtao Sheng, Bihao Su, Chenglong Xu
2023 J jnl
Müntz Ball Polynomials and Müntz Spectral-Galerkin Methods for Singular Eigenvalue Problems.
J. Sci. Comput.
Xiu Yang, Li-Lian Wang, Huiyuan Li, Changtao Sheng
2023 J jnl
Müntz ball polynomials and Müntz spectral-Galerkin methods for singular eigenvalue problems.
CoRR
Xiu Yang, Li-Lian Wang, Huiyuan Li, Changtao Sheng
2022 J jnl
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions.
CoRR
Changtao Sheng, Bihao Su, Chenglong Xu
2021 J jnl
Efficient Spectral Methods for PDEs with Spectral Fractional Laplacian.
J. Sci. Comput.
Changtao Sheng, Duo Cao, Jie Shen
2021 J jnl
On Diagonal Dominance of FEM Stiffness Matrix of Fractional Laplacian and Maximum Principle Preserving Schemes for the Fractional Allen-Cahn Equation.
J. Sci. Comput.
Hongyan Liu, Changtao Sheng, Li-Lian Wang, Huifang Yuan
2020 J jnl
Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains.
SIAM J. Numer. Anal.
Changtao Sheng, Jie Shen, Tao Tang, Li-Lian Wang, Huifang Yuan
2020 J jnl
Generalised Hermite functions and their applications in Spectral Approximations.
CoRR
Changtao Sheng, Suna Ma, Huiyuan Li, Li-Lian Wang, Lueling Jia
2020 J jnl
On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for fractional Allen-Cahn equation.
CoRR
Hongyan Liu, Changtao Sheng, Li-Lian Wang, Huifang Yuan
2020 J jnl
On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes.
CoRR
Hongbin Chen, Changtao Sheng, Li-Lian Wang
2019 J jnl
Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains.
CoRR
Changtao Sheng, Jie Shen, Tao Tang, Li-Lian Wang, Huifang Yuan
2011 J jnl
Chebyshev's inequality for Choquet-like integral.
Appl. Math. Comput.
Changtao Sheng, Jiuliang Shi, Yao Ouyang