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)

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)

A Legendre spectral-element method for the one-dimensional fourth-order equations. - Qingqu Zhuang (Appl. Math. Comput., 2011)

Numerical approximation of a nonlinear fourth-order integro-differential equation by spectral method. - Qingqu Zhuang; Quanwei Ren (Appl. Math. Comput., 2014)

Legendre-Galerkin spectral-element method for the biharmonic equations and its applications. - Qingqu Zhuang; Lizhen Chen (Comput. Math. Appl., 2017)

Direct Solvers for the Biharmonic Eigenvalue Problems Using Legendre Polynomials. - Lizhen Chen; Jing An; Qingqu Zhuang (J. Sci. Comput., 2017)

Efficient SAV approach for imaginary time gradient flows with applications to one- and multi-component Bose-Einstein Condensates. - Qingqu Zhuang; Jie Shen 001 (J. Comput. Phys., 2019)

A fast and efficient numerical algorithm for Swift-Hohenberg equation with a nonlocal nonlinearity. - Zhifeng Weng; Yangfang Deng; Qingqu Zhuang; Shuying Zhai (Appl. Math. Lett., 2021)

Efficient numerical algorithms for the phase field crystal equation. - Qingqu Zhuang; Shuying Zhai; Zhifeng Weng (Int. J. Model. Simul. Sci. Comput., 2021)

Second-Order SAV Schemes for the Nonlinear Schrödinger Equation and Their Error Analysis. - Beichuan Deng; Jie Shen 001; Qingqu Zhuang (J. Sci. Comput., 2021)

An effective operator splitting method based on spectral deferred correction for the fractional Gray-Scott model. - Shuying Zhai; Zhifeng Weng; Qingqu Zhuang; Fawang Liu; Vo Anh (J. Comput. Appl. Math., 2023)

Energy stable schemes for the Klein-Gordon-Zakharov equations. - Jiaojiao Guo; Qingqu Zhuang (Comput. Math. Appl., 2023)

Numerical approximation of SAV finite difference method for the Allen-Cahn equation. - Hang Chen; Langyang Huang; Qingqu Zhuang; Zhifeng Weng (Int. J. Model. Simul. Sci. Comput., 2023)