Diagonal implicit symplectic extended RKN methods for solving oscillatory Hamiltonian systems
Author:
Funder
Natural Science Foundation of Shandong Province
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s40314-019-0786-8.pdf
Reference27 articles.
1. Cohen D, Hairer E, Lubich C (2005) Numerical energy conservation for multi-frequency oscillatory differential equations. BIT 45:287–305
2. García A, Martín P, González AB (2002) New methods for oscillatory problems based on classical codes. Appl Numer Math 42:141–157
3. García-Archilla B, Sanz-Serna JM, Skeel RD (1999) Long-time-step methods for oscillatory differential equations. SIAM J Sci Comput 20:930–963
4. Hochbruck M, Lubich C (1999) A Gautschi-type method for oscillatory second-order differential equations. Numer Math 83:403–426
5. Hairer E, Lubich C (2000) Long-time energy conservation of numerical methods for oscillatory differential equations. SIAM J Numer Anal 38:414–441
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