A class of linear multi-step method adapted to general oscillatory second-order initial value problems-Reference-Cited by-同舟云学术

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A class of linear multi-step method adapted to general oscillatory second-order initial value problems

Published:2017-02-14 Issue:1-2 Volume:56 Page:561-591
ISSN:1598-5865
Container-title:Journal of Applied Mathematics and Computing
language:en
Short-container-title:J. Appl. Math. Comput.

Author:

Li Jiyong,Wang Xianfen,Lu Ming

Funder

National Natural Science Foundation of China (CN)

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/article/10.1007/s12190-017-1087-2/fulltext.html

Reference31 articles.

1. Aubry, A., Chartier, P.: Pseudo-symplectic Runge–Kutta methods. BIT 38, 439–461 (1998)

2. Avdyushev, V.A.: Special perturbation theory methods in celestial mechanics, I. Principles for the construction and substantiation of the application. Russ. Phys. J. 49, 1344–1353 (2006)

3. Franco, J.M.: Runge–Kutta–Nyström methods adapted to the numerical integration of perturbed oscillators. Comput. Phys. Commun. 147, 770–787 (2002)

4. García-Alonso, F., Reyes, J., Ferrádiz, J., Vigo-Aguiar, J.: Accurate numerical integration of perturbed oscillatory systems in two frequencies. ACM Trans. Math. Softw. 36, 21–34 (2009)

5. López, D.J., Martín, P.: A numerical method for the integration of perturbed linear problems. Appl. Math. Comput. 96, 65–73 (1998)

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1. A Family of Functionally-Fitted Third Derivative Block Falkner Methods for Solving Second-Order Initial-Value Problems with Oscillating Solutions;Mathematics;2021-03-25

2. Multi-step hybrid methods adapted to the numerical integration of oscillatory second-order systems;Journal of Applied Mathematics and Computing;2019-03-02

3. Multi-step Nyström methods for general second-order initial value problemsy″(t) =f(t,y(t),y′(t));International Journal of Computer Mathematics;2018-05-16

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