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Changtao Sheng

Orcid: 0000-0002-7089-5044

According to our database1, Changtao Sheng authored at least 18 papers between 2011 and 2025.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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PhD thesis 
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Links

On csauthors.net:

Bibliography

2025
An Efficient Finite Element Method for Multi-dimensional Nonlocal Laplacian on Uniform Grids.
[BibTeX]
[DOI]
Changtao Sheng
,
Huiyuan Li
,
Huifang Yuan
,
Li-Lian Wang
CoRR, September, 2025

Efficient implicit-explicit sparse stochastic method for high dimensional semi-linear nonlocal diffusion equations.
[BibTeX]
[DOI]
Changtao Sheng
,
Bihao Su
,
Chenglong Xu
CoRR, July, 2025

Exponentially accurate spectral Monte Carlo method for linear PDEs and their error estimates.
[BibTeX]
[DOI]
Jiaying Feng
,
Changtao Sheng
,
Chenglong Xu
CoRR, February, 2025

An implicit-explicit Monte Carlo method for semi-linear PDEs driven by α-stable Lévy process and its error estimates.
[BibTeX]
[DOI]
Changtao Sheng
,
Bihao Su
,
Chenglong Xu
Math. Comput., 2025

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

FEM on nonuniform meshes for nonlocal Laplacian: Semi-analytic Implementation in One Dimension.
[BibTeX]
[DOI]
Hongbin Chen
,
Changtao Sheng
,
Li-Lian Wang
CoRR, 2024

2023
Efficient Monte Carlo Method for Integral Fractional Laplacian in Multiple Dimensions.
[BibTeX]
[DOI]
Changtao Sheng
,
Bihao Su
,
Chenglong Xu
SIAM J. Numer. Anal., October, 2023

Müntz Ball Polynomials and Müntz Spectral-Galerkin Methods for Singular Eigenvalue Problems.
[BibTeX]
[DOI]
Xiu Yang
,
Li-Lian Wang
,
Huiyuan Li
,
Changtao Sheng
J. Sci. Comput., August, 2023

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

2021
Efficient Spectral Methods for PDEs with Spectral Fractional Laplacian.
[BibTeX]
[DOI]
Changtao Sheng
,
Duo Cao
,
Jie Shen
J. Sci. Comput., 2021

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

On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes.
[BibTeX]
[DOI]
Hongbin Chen
,
Chang-Tao Sheng
,
Li-Lian Wang
Appl. Math. Lett., 2021

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

Generalised Hermite functions and their applications in Spectral Approximations.
[BibTeX]
[DOI]
Changtao Sheng
,
Suna Ma
,
Huiyuan Li
,
Li-Lian Wang
,
Lueling Jia
CoRR, 2020

2019
An Efficient Space-Time Method for Time Fractional Diffusion Equation.
[BibTeX]
[DOI]
Jie Shen
,
Chang-Tao Sheng
J. Sci. Comput., 2019

2016
An hp-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays.
[BibTeX]
[DOI]
Zhong-Qing Wang
,
Chang-Tao Sheng
Math. Comput., 2016

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

2011
Chebyshev's inequality for Choquet-like integral.
[BibTeX]
[DOI]
Changtao Sheng
,
Jiuliang Shi
,
Yao Ouyang
Appl. Math. Comput., 2011


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