TY - JOUR
T1 - High-Accuracy P-Stable Methods with Minimal Phase-Lag for $y "= f(t, y) ^*$
AU - K. L. Xiang
JO - Journal of Computational Mathematics
VL - 3
SP - 232
EP - 242
PY - 1995
DA - 1995/06
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9265.html
KW - 
AB - <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>