@Article{NMTMA-13-452,
author = {Gu , DongqinZhang , Chao and Wang , Zhongqing},
title = {Well-Conditioned Spectral Collocation Methods for Problems in Unbounded Domains},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2020},
volume = {13},
number = {2},
pages = {452--478},
abstract = {<p style="text-align: justify;">Based on the generalized Laguerre and Hermite functions, we construct two types of Birkhoff-type interpolation basis functions. The explicit expressions are derived, and fast and stable algorithms are provided for computing these basis functions. As applications, some well-conditioned collocation methods are proposed for solving various second-order differential equations in unbounded domains. Numerical experiments illustrate that our collocation methods are more efficient than the standard Laguerre/Hermite collocation approaches.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2019-0090},
url = {http://global-sci.org/intro/article_detail/nmtma/15487.html}
}