An Efficient Method for the Navier-Stokes/Euler Coupled Equations Via a Collocation Approximation. - Chuanju Xu (SIAM J. Numer. Anal., 2000)

Stabilization Methods for Spectral Element Computations of Incompressible Flows. - Chuanju Xu (J. Sci. Comput., 2006)

Stability Analysis of Large Time-Stepping Methods for Epitaxial Growth Models. - Chuanju Xu; Tao Tang 003 (SIAM J. Numer. Anal., 2006)

Finite difference/spectral approximations for the time-fractional diffusion equation. - Yumin Lin; Chuanju Xu (J. Comput. Phys., 2007)

A Laguerre-Legendre Spectral Method for the Stokes Problem in a Semi-Infinite Channel. - Mejdi Azaïez; Jie Shen 001; Chuanju Xu; Qingqu Zhuang (SIAM J. Numer. Anal., 2008)

A Space-Time Spectral Method for the Time Fractional Diffusion Equation. - Xianjuan Li; Chuanju Xu (SIAM J. Numer. Anal., 2009)

Legendre-Laguerre coupled spectral element methods for second- and fourth-order equations on the half line. - Qingqu Zhuang; Chuanju Xu (J. Comput. Appl. Math., 2010)

A Coupled Legendre-Laguerre Spectral-Element Method for the Navier-Stokes Equations in Unbounded Domains. - Qingqu Zhuang; Jie Shen 001; Chuanju Xu (J. Sci. Comput., 2010)

Finite difference/spectral approximations for the fractional cable equation. - Yumin Lin; Xianjuan Li; Chuanju Xu (Math. Comput., 2011)

A high order schema for the numerical solution of the fractional ordinary differential equations. - Junying Cao; Chuanju Xu (J. Comput. Phys., 2013)

Parallel in Time Algorithm with Spectral-Subdomain Enhancement for Volterra Integral Equations. - Xianjuan Li; Tao Tang 003; Chuanju Xu (SIAM J. Numer. Anal., 2013)

Spectral methods based on new formulations for coupled Stokes and Darcy equations. - Weiwei Wang; Chuanju Xu (J. Comput. Phys., 2014)

Spectral direction splitting methods for two-dimensional space fractional diffusion equations. - Fangying Song; Chuanju Xu (J. Comput. Phys., 2015)

On the Inf-Sup Constant of a Triangular Spectral Method for the Stokes Equations. - Yanhui Su; Lizhen Chen; Xianjuan Li; Chuanju Xu (Comput. Methods Appl. Math., 2016)

Numerical Solutions for Weakly Singular Volterra Integral Equations Using Chebyshev and Legendre Pseudo-Spectral Galerkin Methods. - Xianjuan Li; Tao Tang 003; Chuanju Xu (J. Sci. Comput., 2016)

Error Analysis of a High Order Method for Time-Fractional Diffusion Equations. - Chunwan Lv; Chuanju Xu (SIAM J. Sci. Comput., 2016)

A fractional spectral method with applications to some singular problems. - Dianming Hou; Chuanju Xu (Adv. Comput. Math., 2017)

Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations. - Fangying Song; Chuanju Xu; George E. Karniadakis (SIAM J. Sci. Comput., 2017)

Müntz Spectral Methods for the Time-Fractional Diffusion Equation. - Dianming Hou; Mohammad Tanzil Hasan; Chuanju Xu (Comput. Methods Appl. Math., 2018)

Highly efficient and accurate schemes for time fractional Allen-Cahn equation by using extended SAV approach. - Dianming Hou; Hongyi Zhu; Chuanju Xu (CoRR, 2019)

A variant of scalar auxiliary variable approaches for gradient flows. - Dianming Hou; Mejdi Azaïez; Chuanju Xu (J. Comput. Phys., 2019)

A Müntz-Collocation Spectral Method for Weakly Singular Volterra Integral Equations. - Dianming Hou; Yumin Lin; Mejdi Azaïez; Chuanju Xu (J. Sci. Comput., 2019)

A Fast High Order Method for the Time-Fractional Diffusion Equation. - Hongyi Zhu; Chuanju Xu (SIAM J. Numer. Anal., 2019)

Identifying source term in the subdiffusion equation with L^2-TV regularization. - Bin Fan; Chuanju Xu (CoRR, 2021)

Robust and stable schemes for time fractional molecular beam epitaxial growth model using SAV approach. - Dianming Hou; Chuanju Xu (J. Comput. Phys., 2021)

Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach. - Dianming Hou; Hongyi Zhu; Chuanju Xu (Numer. Algorithms, 2021)

Highly Efficient and Energy Dissipative Schemes for the Time Fractional Allen-Cahn Equation. - Dianming Hou; Chuanju Xu (SIAM J. Sci. Comput., 2021)

New efficient time-stepping schemes for the anisotropic phase-field dendritic crystal growth model. - Minghui Li; Mejdi Azaïez; Chuanju Xu (Comput. Math. Appl., 2022)

A novel spectral method for the subdiffusion equation. - Chuanju Xu; Wei Zeng (CoRR, 2022)

An efficient numerical approach for stochastic evolution PDEs driven by random diffusion coefficients and multiplicative noise. - Xiao Qi; Mejdi Azaïez; Can Huang; Chuanju Xu (CoRR, 2022)

A Second Order Energy Dissipative Scheme for Time Fractional L2 Gradient Flows using SAV Approach. - Dianming Hou; Chuanju Xu (J. Sci. Comput., 2022)

Efficient numerical methods for the Navier-Stokes-Nernst-Planck-Poisson equations. - Xiaolan Zhou; Chuanju Xu (CoRR, 2023)

On Weighted Generalized Gauss Quadratures for Müntz Systems. - Huaijin Wang 004; Chuanju Xu (CoRR, 2023)

Certified reduced order method for the parametrized Allen-Cahn equation. - Liang Wu; Mejdi Azaïez; Tomás Chacón Rebollo; Chuanju Xu (Comput. Math. Appl., 2023)

Stable and decoupled schemes for an electrohydrodynamics model. - Hui Yao; Chuanju Xu; Mejdi Azaïez (Math. Comput. Simul., 2023)

Efficient time-stepping schemes for the Navier-Stokes-Nernst-Planck-Poisson equations. - Xiaolan Zhou; Chuanju Xu (Comput. Phys. Commun., 2023)

An efficient approximation to the stochastic Allen-Cahn equation with random diffusion coefficient field and multiplicative noise. - Xiao Qi; Yanrong Zhang; Chuanju Xu (Adv. Comput. Math., 2023)

Nonlocal Cahn-Hilliard type model for image inpainting. - Dandan Jiang; Mejdi Azaïez; Alain Miranville; Chuanju Xu (Comput. Math. Appl., 2024)

Optimal control of an evolutionary variational-hemivariational inequality model with new results in numerical analysis and control of the dynamic frictional contact problem. - Yujie Li; Chuanju Xu (J. Comput. Appl. Math., 2024)

On the long-time behavior of the continuous and discrete solutions of a nonlocal Cahn-Hilliard type inpainting model. - Dandan Jiang; Mejdi Azaïez; Alain Miranville; Chuanju Xu; Hui Yao (Math. Comput. Simul., 2024)

An efficient numerical method for the anisotropic phase field dendritic crystal growth model. - Yayu Guo; Mejdi Azaïez; Chuanju Xu (Commun. Nonlinear Sci. Numer. Simul., 2024)

A Highly Efficient Numerical Method for the Time-Fractional Diffusion Equation on Unbounded Domains. - Hongyi Zhu; Chuanju Xu (J. Sci. Comput., 2024)

On recurrence formulae of Müntz polynomials and applications. - Huaijin Wang 004; Chuanju Xu (Appl. Math. Comput., 2025)

A class of efficient high-order time-stepping methods for the anisotropic phase-field dendritic crystal growth model. - Weiwen Wang; Chuanju Xu (J. Comput. Appl. Math., 2025)

Reduced basis method based on a posteriori error estimate for the parameterized Allen-Cahn equation. - Liang Wu; Mejdi Azaïez; Tomás Chacón Rebollo; Chuanju Xu (J. Comput. Phys., 2025)

Machine learning-based parameter optimization for Müntz spectral methods. - Wei Zeng; Chuanju Xu; Yiming Lu; Qian Wang (CoRR, 2025)

Numerical Analysis of a Fractional Differential Hemivariational Inequality and Application in Contact Problems. - Yujie Li; Chuanju Xu (J. Sci. Comput., 2025)