@Article{JCM-13-232,
author = {K. L. Xiang},
title = {High-Accuracy P-Stable Methods with Minimal Phase-Lag for $y "= f(t, y) ^*$},
journal = {Journal of Computational Mathematics},
year = {1995},
volume = {13},
number = {3},
pages = {232--242},
abstract = {<p style="text-align: justify;">In this paper, we develop a one-parameter family of P-stable sixth-order and eighth-order two-step methods with minimal phase-lag errors for numerical integration of second order periodic initial value problems: $$ y&#39;&#39;=f(t,y), \quad y(t_0)=y_0, \quad y&#39;(t_0)=y&#39;_0. $$ We determine the parameters so that the phase-lag (frequency distortion) of these methods are minimal. The resulting methods are P-stable methods with minimal phase-lag errors. The superiority of our present P-stable methods over the P-stable methods in [1-4] is given by comparative studying of the phase-lag errors and illustrated with numerical examples.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/9265.html}
}