Trigonometrically fitted two-derivative Runge-Kutta-Nyström methods for second-order oscillatory differential equations-Reference-Cited by-同舟云学术

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Trigonometrically fitted two-derivative Runge-Kutta-Nyström methods for second-order oscillatory differential equations

Published:2019-08 Issue: Volume:142 Page:171-189
ISSN:0168-9274
Container-title:Applied Numerical Mathematics
language:en
Short-container-title:Applied Numerical Mathematics

Author:

Chen Zhaoxia,Shi Lei,Liu Siyao,You Xiong

Funder

National Natural Science Foundation of China

Jiangsu Provincial Natural Science Foundation

Open Foundation of Jiangsu Key Lab for NSLSCS

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference26 articles.

1. A new theoretical approach to Runge-Kutta methods;Albrecht;SIAM J. Numer. Anal.,1987

2. The extension of the theory of A-methods to RK methods;Albrecht,1987

3. On explicit two-derivative Runge-Kutta methods;Chan;Numer. Algorithms,2010

4. Two-derivative Runge–Kutta Nyström methods for second-order ordinary differential equations;Chen;Numer. Algorithms,2015

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

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