[1] Qingqu Zhuang, Chuanju Xu, A Spectral Element/Laguerre Coupled Method to the Elliptic Helmholtz Problem on the Half Line, NUMERICAL MATHEMATICS (A Journal of Chinese Universities (English Series)), 15(3):193-208, 2006.
[2] Mejdi Azaiez, Jie Shen, Chuanju Xu, and Qingqu Zhuang, A Laguerre-Legendre Spectral Method for the Stokes Problem in a Semi-Infinite Channel , SIAM Journal on Numerical Analysis, 47(1):271-292,2008.
[3] Qingqu Zhuang, Jie Shen, and Chuanju Xu, A coupled Legendre-Laguerre spectral-element method for the Navier-Stokes equations in unbounded domains, Journal of Scientific Computing, 42(1):1-22, 2010.
[4] Qingqu Zhuang,Chuanju Xu, Legendre-Laguerre coupled spectral element methods for second- and fourth-order equations on the half line, Journal of Computational and Applied Mathematics, 235(3): 615-630, 2010.
[5] Qingqu Zhuang, A Legendre spectral-element method for the one-dimensional fourth-order equations, Applied Mathematics and Computation, 218(7): 3587-3595, 2011.
[6]庄清渠,蔡耀雄,半直线上三阶微分方程的Legendre-Laguerre耦合谱元法, 数学研究:Journal of Mathematical Study, 45(2):179-187, 2012.
[7] 任全伟,庄清渠,一类四阶微积分方程Legendre-Galerkin谱逼近,计算数学,35(2):125-136, 2013.
[8] 蔡耀雄, 任全伟, 庄清渠, 一类四阶微积分方程的四阶差分格式, 数值计算与计算机应用, 35(1):59-68, 2014.
[9] Qingqu Zhuang, Quanwei Ren, Numerical approximation of a nonlinear fourth-order integro-differential equation by spectral method, Applied Mathematics and Computation, 232:775-783, 2014.
[10] 庄清渠,任全伟,一类具有非线性边界条件的四阶方程的紧差分迭代解法,高等学校计算数学学报,38(4):289-300, 2016.
[11] Lizhen Chen, Jing An, and Qingqu Zhuang, Direct solvers for the biharmonic eigenvalue problems using Legendre polynomials, Journal of Scientific Computing, 70(3):1030-1041, 2017.
[12] Zhifeng Weng, Qingqu Zhuang, Numerical approximation of the conservative Allen–Cahn equation by operator splitting method, Mathematical Methods in the Applied Sciences. 2017, 40(12):4462-4480. DOI: 10.1002/mma.4317.
[13] Qingqu Zhuang, Lizhen Chen, Legendre-Galerkin spectral-element method for the biharmonic equations and its applications, Computers & Mathematics with Applications, 2017, accepted. DOI: 10.1016/j.camwa.2017.07.039.
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