Some progress in spectral methods

BY Guo - Science China Mathematics, 2013 - Springer
In this paper, we review some results on the spectral methods. We first consider the Jacobi
spectral method and the generalized Jacobi spectral method for various problems, including …

[HTML][HTML] The spectral method for high order problems with proper simulations of asymptotic behaviors at infinity

B Guo, C Zhang - Journal of Computational and Applied Mathematics, 2013 - Elsevier
In this paper, we investigate new spectral and multidomain spectral methods for high order
problems. We introduce a family of new generalized Laguerre functions, which are mutually …

Laguerre spectral method for high order problems

C Zhang, BY Guo, T Sun - Numerical Mathematics: Theory, Methods …, 2013 - cambridge.org
In this paper, we propose the Laguerre spectral method for high order problems with mixed
inhomogeneous boundary conditions. It is also available for approximated solutions growing …

[引用][C] 无界区域问题的谱和拟谱方法献给林群教授80 华诞

郭本瑜 - 中国科学: 数学, 2015