A high order schema for the numerical solution of the fractional ordinary differential equations

Junying Cao , Chuanju Xu
Journal of Computational Physics 238 154 -168

86
2013
Spectral methods based on new formulations for coupled Stokes and Darcy equations

Weiwei Wang , Chuanju Xu
Journal of Computational Physics 257 126 -142

17
2014
Müntz Spectral Methods for the Time-Fractional Diffusion Equation

Dianming Hou , Mohammad Tanzil Hasan , Chuanju Xu
Computational methods in applied mathematics 18 ( 1) 43 -62

15
2018
On the Inf-Sup Constant of a Triangular Spectral Method for the Stokes Equations

Yanhui Su , Lizhen Chen , Xianjuan Li , Chuanju Xu
Computational methods in applied mathematics 16 ( 3) 507 -522

7
2016
Spectral direction splitting methods for two-dimensional space fractional diffusion equations

Fangying Song , Chuanju Xu
Journal of Computational Physics 299 196 -214

23
2015
An Efficient Spectral Method for the Inextensible Immersed Interface in Incompressible Flows

Xiaoling Liu , Fangying Song , Chuanju Xu
Communications in Computational Physics 25 ( 4)

13
2019
A fractional phase-field model for two-phase flows with tunable sharpness: Algorithms and simulations

Fangying Song , Chuanju Xu , George Em Karniadakis
Computer Methods in Applied Mechanics and Engineering 305 376 -404

76
2016
An extension of the landweber regularization for a backward time fractional wave problem

Bin Fan , , Mejdi Azaïez , Chuanju Xu
Discrete & Continuous Dynamical Systems - S 0

2020
Error Analysis of a High Order Method for Time-Fractional Diffusion Equations

Chunwan Lv , Chuanju Xu
SIAM Journal on Scientific Computing 38 ( 5)

134
2016
Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations

Fangying Song , Chuanju Xu , George Em Karniadakis
SIAM Journal on Scientific Computing 39 ( 4)

48
2017
On the efficiency of semi‐implicit and semi‐Lagrangian spectral methods for the calculation of incompressible flows

Chuanju Xu , Richard Pasquetti
International Journal for Numerical Methods in Fluids 35 ( 3) 319 -340

17
2001
A Müntz-Collocation Spectral Method for Weakly Singular Volterra Integral Equations

Dianming Hou , Yumin Lin , Mejdi Azaiez , Chuanju Xu
Journal of Scientific Computing 81 ( 3) 2162 -2187

18
2019
Legendre-Laguerre coupled spectral element methods for second- and fourth-order equations on the half line

Qingqu Zhuang , Chuanju Xu
Journal of Computational and Applied Mathematics 235 ( 3) 615 -630

7
2010
1
2020
The Wiener-Askey Polynomial Chaos for Diffusion Problems with Uncertainty

Dong Qu , Zhibing Liu , Chuanju Xu
international conference on computational and information sciences 839 -842

2010
Numerical Solution of the Coupled System of Nonlinear Fractional Ordinary Differential Equations

Xiaojun Zhou , Chuanju Xu
Advances in Applied Mathematics and Mechanics 9 ( 3) 574 -595

1
2017
A Unstructured Nodal Spectral-Element Method for the Navier-Stokes Equations

Lizhen Chen , Jie Shen , Chuanju Xu
Communications in Computational Physics 12 ( 1) 315 -336

11
2012
Efficient Time-Stepping/Spectral Methods for the Navier-Stokes-Nernst-Planck-Poisson Equations

Xiaoling Liu , Chuanju Xu
Communications in Computational Physics 21 ( 5) 1408 -1428

2
2017
A space-time spectral method for the time fractional diffusion optimal control problems

Xingyang Ye , Chuanju Xu
Advances in Difference Equations 2015 ( 1) 156

11
2015