Volume 13, Issue 3
High-Accuracy P-Stable Methods with Minimal Phase-Lag for Y
DOI:

J. Comp. Math., 13 (1995), pp. 232-242

Published online: 1995-06

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• Abstract

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: $$y''=f(t,y), \quad y(t_0)=y_0, \quad y'(t_0)=y'_0.$$ 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.

• Keywords

@Article{JCM-13-232, author = {}, title = {High-Accuracy P-Stable Methods with Minimal Phase-Lag for Y}, journal = {Journal of Computational Mathematics}, year = {1995}, volume = {13}, number = {3}, pages = {232--242}, abstract = { 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: $$y''=f(t,y), \quad y(t_0)=y_0, \quad y'(t_0)=y'_0.$$ 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. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9265.html} }
TY - JOUR T1 - High-Accuracy P-Stable Methods with Minimal Phase-Lag for Y JO - Journal of Computational Mathematics VL - 3 SP - 232 EP - 242 PY - 1995 DA - 1995/06 SN - 13 DO - http://dor.org/ UR - https://global-sci.org/intro/jcm/9265.html KW - AB - 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: $$y''=f(t,y), \quad y(t_0)=y_0, \quad y'(t_0)=y'_0.$$ 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.