Multi-step hybrid methods adapted to the numerical integration of oscillatory second-order systems

Author:

Li Jiyong

Funder

Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference36 articles.

1. Butcher, J.C.: Numerical Methods for Ordinary Differential Equations, 2nd edn. Wiley, Chichester (2008)

2. Hairer, E., Nørsett, S.P., Wanner, G.: Solving Ordinary Differential Equations I: Nonstiff Problems, 2nd edn. Springer, Berlin (2002)

3. Hairer, E., Lubich, C., Wanner, G.: Geometric Numerical Integration, Structure-Preserving Algorithms for Ordinary Differential Equations, 2nd edn. Springer, Berlin (2006)

4. Hairer, E., Lubich, C., Wanner, G.: Geometric numerical integration illustrated by the Störmer–Verlet method. Acta Numer. 12, 399–450 (2003)

5. Cano, B., Moreta, M.J.: Multistep cosine methods for second-order partial differential systems. IMA J. Numer. Anal. 30, 431–461 (2010)

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