Chuanju Xu

Publication Activity (10 Years)

Years Active: 2000-2025
Publications (10 Years): 33

Top Topics

Diffusion Equation

Top Venues

J. Sci. Comput.

J. Comput. Phys.

Comput. Math. Appl.

Publications

Weiwen Wang, Chuanju Xu
A class of efficient high-order time-stepping methods for the anisotropic phase-field dendritic crystal growth model. J. Comput. Appl. Math. 453 (2025)
Hongyi Zhu, Chuanju Xu
A Highly Efficient Numerical Method for the Time-Fractional Diffusion Equation on Unbounded Domains. J. Sci. Comput. 99 (2) (2024)
Dandan Jiang, Mejdi Azaïez, Alain Miranville, Chuanju Xu
Nonlocal Cahn-Hilliard type model for image inpainting. Comput. Math. Appl. 159 (2024)
Yayu Guo, Mejdi Azaïez, Chuanju Xu
An efficient numerical method for the anisotropic phase field dendritic crystal growth model. Commun. Nonlinear Sci. Numer. Simul. 131 (2024)
Dandan Jiang, Mejdi Azaïez, Alain Miranville, Chuanju Xu, Hui Yao
On the long-time behavior of the continuous and discrete solutions of a nonlocal Cahn-Hilliard type inpainting model. Math. Comput. Simul. 225 (2024)
Yujie Li, Chuanju Xu
Optimal control of an evolutionary variational-hemivariational inequality model with new results in numerical analysis and control of the dynamic frictional contact problem. J. Comput. Appl. Math. 448 (2024)
Yayu Guo, Mejdi Azaïez, Chuanju Xu
An efficient numerical method for the anisotropic phase field dendritic crystal growth model. CoRR (2023)
Hui Yao, Chuanju Xu, Mejdi Azaïez
Stable and decoupled schemes for an electrohydrodynamics model. Math. Comput. Simul. 206 (2023)
Xiaolan Zhou, Chuanju Xu
Efficient numerical methods for the Navier-Stokes-Nernst-Planck-Poisson equations. CoRR (2023)
Liang Wu, Mejdi Azaïez, Tomás Chacón Rebollo, Chuanju Xu
Certified reduced order method for the parametrized Allen-Cahn equation. Comput. Math. Appl. 134 (2023)
Huaijin Wang, Chuanju Xu
On Weighted Generalized Gauss Quadratures for Müntz Systems. CoRR (2023)
Xiao Qi, Yanrong Zhang, Chuanju Xu
An efficient approximation to the stochastic Allen-Cahn equation with random diffusion coefficient field and multiplicative noise. Adv. Comput. Math. 49 (5) (2023)
Xiaolan Zhou, Chuanju Xu
Efficient time-stepping schemes for the Navier-Stokes-Nernst-Planck-Poisson equations. Comput. Phys. Commun. 289 (2023)
Xiao Qi, Mejdi Azaiez, Can Huang, Chuanju Xu
An efficient numerical approach for stochastic evolution PDEs driven by random diffusion coefficients and multiplicative noise. CoRR (2022)
Chuanju Xu, Wei Zeng
A novel spectral method for the subdiffusion equation. CoRR (2022)
Dianming Hou, Chuanju Xu
Gradient Flows using SAV Approach. J. Sci. Comput. 90 (1) (2022)
Minghui Li, Mejdi Azaïez, Chuanju Xu
New efficient time-stepping schemes for the anisotropic phase-field dendritic crystal growth model. Comput. Math. Appl. 109 (2022)
Dianming Hou, Chuanju Xu
Highly Efficient and Energy Dissipative Schemes for the Time Fractional Allen-Cahn Equation. SIAM J. Sci. Comput. 43 (5) (2021)
Dianming Hou, Chuanju Xu
Robust and stable schemes for time fractional molecular beam epitaxial growth model using SAV approach. J. Comput. Phys. 445 (2021)
Bin Fan, Chuanju Xu
Identifying source term in the subdiffusion equation with L^2-TV regularization. CoRR (2021)
Minghui Li, Mejdi Azaïez, Chuanju Xu
New efficient time-stepping schemes for the anisotropic phase-field dendritic crystal growth model. CoRR (2021)
Dianming Hou, Hongyi Zhu, Chuanju Xu
Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach. Numer. Algorithms 88 (3) (2021)
Dianming Hou, Chuanju Xu
Highly efficient and energy dissipative schemes for the time fractional Allen-Cahn equation. CoRR (2021)
Dianming Hou, Mejdi Azaïez, Chuanju Xu
A variant of scalar auxiliary variable approaches for gradient flows. J. Comput. Phys. 395 (2019)
Hongyi Zhu, Chuanju Xu
A Fast High Order Method for the Time-Fractional Diffusion Equation. SIAM J. Numer. Anal. 57 (6) (2019)
Dianming Hou, Hongyi Zhu, Chuanju Xu
Highly efficient and accurate schemes for time fractional Allen-Cahn equation by using extended SAV approach. CoRR (2019)
Dianming Hou, Yumin Lin, Mejdi Azaïez, Chuanju Xu
A Müntz-Collocation Spectral Method for Weakly Singular Volterra Integral Equations. J. Sci. Comput. 81 (3) (2019)
Dianming Hou, Mohammad Tanzil Hasan, Chuanju Xu
Müntz Spectral Methods for the Time-Fractional Diffusion Equation. Comput. Methods Appl. Math. 18 (1) (2018)
Dianming Hou, Chuanju Xu
A fractional spectral method with applications to some singular problems. Adv. Comput. Math. 43 (5) (2017)
Fangying Song, Chuanju Xu, George E. Karniadakis
Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations. SIAM J. Sci. Comput. 39 (4) (2017)
Chunwan Lv, Chuanju Xu
Error Analysis of a High Order Method for Time-Fractional Diffusion Equations. SIAM J. Sci. Comput. 38 (5) (2016)
Yanhui Su, Lizhen Chen, Xianjuan Li, Chuanju Xu
On the Inf-Sup Constant of a Triangular Spectral Method for the Stokes Equations. Comput. Methods Appl. Math. 16 (3) (2016)
Xianjuan Li, Tao Tang, Chuanju Xu
Numerical Solutions for Weakly Singular Volterra Integral Equations Using Chebyshev and Legendre Pseudo-Spectral Galerkin Methods. J. Sci. Comput. 67 (1) (2016)
Fangying Song, Chuanju Xu
Spectral direction splitting methods for two-dimensional space fractional diffusion equations. J. Comput. Phys. 299 (2015)
Weiwei Wang, Chuanju Xu
Spectral methods based on new formulations for coupled Stokes and Darcy equations. J. Comput. Phys. 257 (2014)
Xianjuan Li, Tao Tang, Chuanju Xu
Parallel in Time Algorithm with Spectral-Subdomain Enhancement for Volterra Integral Equations. SIAM J. Numer. Anal. 51 (3) (2013)
Junying Cao, Chuanju Xu
A high order schema for the numerical solution of the fractional ordinary differential equations. J. Comput. Phys. 238 (2013)
Yumin Lin, Xianjuan Li, Chuanju Xu
Finite difference/spectral approximations for the fractional cable equation. Math. Comput. 80 (275) (2011)
Qingqu Zhuang, Chuanju Xu
Legendre-Laguerre coupled spectral element methods for second- and fourth-order equations on the half line. J. Comput. Appl. Math. 235 (3) (2010)
Qingqu Zhuang, Jie Shen, Chuanju Xu
A Coupled Legendre-Laguerre Spectral-Element Method for the Navier-Stokes Equations in Unbounded Domains. J. Sci. Comput. 42 (1) (2010)
Xianjuan Li, Chuanju Xu
A Space-Time Spectral Method for the Time Fractional Diffusion Equation. SIAM J. Numer. Anal. 47 (3) (2009)
Mejdi Azaïez, Jie Shen, Chuanju Xu, Qingqu Zhuang
A Laguerre-Legendre Spectral Method for the Stokes Problem in a Semi-Infinite Channel. SIAM J. Numer. Anal. 47 (1) (2008)
Yumin Lin, Chuanju Xu
Finite difference/spectral approximations for the time-fractional diffusion equation. J. Comput. Phys. 225 (2) (2007)
Chuanju Xu
Stabilization Methods for Spectral Element Computations of Incompressible Flows. J. Sci. Comput. 27 (1-3) (2006)
Chuanju Xu, Tao Tang
Stability Analysis of Large Time-Stepping Methods for Epitaxial Growth Models. SIAM J. Numer. Anal. 44 (4) (2006)
Chuanju Xu
An Efficient Method for the Navier-Stokes/Euler Coupled Equations Via a Collocation Approximation. SIAM J. Numer. Anal. 38 (4) (2000)