Chebyshev's inequality for Choquet-like integral. - Changtao Sheng; Jiuliang Shi; Yao Ouyang (Appl. Math. Comput., 2011)

A Multistep Legendre-Gauss Spectral Collocation Method for Nonlinear Volterra Integral Equations. - Chang-Tao Sheng; Zhong-Qing Wang; Ben-yu Guo (SIAM J. Numer. Anal., 2014)

An hp-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays. - Zhong-Qing Wang; Chang-Tao Sheng (Math. Comput., 2016)

An Efficient Space-Time Method for Time Fractional Diffusion Equation. - Jie Shen 001; Chang-Tao Sheng (J. Sci. Comput., 2019)

Generalised Hermite functions and their applications in Spectral Approximations. - Changtao Sheng; Suna Ma; Huiyuan Li; Li-Lian Wang; Lueling Jia (CoRR, 2020)

Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains. - Changtao Sheng; Jie Shen 001; Tao Tang 003; Li-Lian Wang; Huifang Yuan (SIAM J. Numer. Anal., 2020)

On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes. - Hongbin Chen 002; Chang-Tao Sheng; Li-Lian Wang (Appl. Math. Lett., 2021)

On Diagonal Dominance of FEM Stiffness Matrix of Fractional Laplacian and Maximum Principle Preserving Schemes for the Fractional Allen-Cahn Equation. - Hongyan Liu 015; Changtao Sheng; Li-Lian Wang; Huifang Yuan (J. Sci. Comput., 2021)

Efficient Spectral Methods for PDEs with Spectral Fractional Laplacian. - Changtao Sheng; Duo Cao; Jie Shen 001 (J. Sci. Comput., 2021)

A new 'walk on spheres' type method for fractional diffusion equation in high dimensions based on the Feynman-Kac formulas. - Bihao Su; Chenglong Xu; Changtao Sheng (Appl. Math. Lett., 2023)

Müntz Ball Polynomials and Müntz Spectral-Galerkin Methods for Singular Eigenvalue Problems. - Xiu Yang; Li-Lian Wang; Huiyuan Li; Changtao Sheng (J. Sci. Comput., 2023)

Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions. - Changtao Sheng; Bihao Su; Chenglong Xu (SIAM J. Numer. Anal., 2023)

FEM on nonuniform meshes for nonlocal Laplacian: Semi-analytic Implementation in One Dimension. - Hongbin Chen 002; Changtao Sheng; Li-Lian Wang (CoRR, 2024)

A Highly Efficient and Accurate Divergence-Free Spectral Method for the Curl-Curl Equation in Two and Three Dimensions. - Lechang Qin; Changtao Sheng; Zhiguo Yang (SIAM J. Sci. Comput., 2024)

Exponentially accurate spectral Monte Carlo method for linear PDEs and their error estimates. - Jiaying Feng; Changtao Sheng; Chenglong Xu (CoRR, 2025)

Efficient implicit-explicit sparse stochastic method for high dimensional semi-linear nonlocal diffusion equations. - Changtao Sheng; Bihao Su; Chenglong Xu (CoRR, 2025)