An eight-step semi-embedded predictor–corrector method for orbital problems and related IVPs with oscillatory solutions for which the frequency is unknown-Reference-Cited by-同舟云学术

An eight-step semi-embedded predictor–corrector method for orbital problems and related IVPs with oscillatory solutions for which the frequency is unknown

Published:2015-12 Issue: Volume:290 Page:1-15
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Panopoulos G.A.,Simos T.E.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference46 articles.

1. Chebyshevian multistep methods for ordinary differential equations;Lyche;Numer. Math.,1972

2. An one step method for direct integration of structural dynamic equations;Brusa;Internat. J. Numer. Methods Engrg.,1980

3. P-stability and exponential-fitting methods for y″=f(x,y);Coleman;IMA J. Numer. Anal.,1996

4. Dissipative Chebyshev exponential-fitted methods for numerical solution of second-order diferential equations;Vigo-Aguiar;J. Comput. Appl. Math.,2003

5. Legendre–Gauss collocation method for initial value problems of second order ordinary differential equations;Guo;Appl. Numer. Math.,2009

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