@Article{NMTMA-14-2,
author = {Zhang, Yang and Zhongqing, Wang and Yu, Xuhong and Zhongqing, Wang},
title = {Efficient and Accurate Legendre Spectral Element Methods for One-Dimensional Higher Order Problems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2021},
volume = {14},
number = {2},
pages = {461--487},
abstract = {<p style="text-align: justify;">Efficient and accurate Legendre spectral element methods for solving one-dimensional higher order differential equations with high oscillatory or steep gradient solutions are proposed. Some Sobolev orthogonal/biorthogonal basis functions
corresponding to each subinterval are constructed, which reduce the non-zero entries of linear systems and computational cost. Numerical experiments exhibit the
effectiveness and accuracy of the suggested approaches.&nbsp;</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2020-0082},
url = {https://global-sci.com/article/90306/efficient-and-accurate-legendre-spectral-element-methods-for-one-dimensional-higher-order-problems}
}