Symplectic and multisymplectic Lobatto methods for the "good" Boussinesq equation

Journal of Mathematical Physics

Volumn 49, Issue 8, 2008, Pages

  Aydin, A ^a   Karasozen B ^b  

^a ATILIM UNIVERSITY   (Turkey)

^b MIDDLE EAST TECHNICAL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 50849138837     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2970148     Document Type: Article

References (23)

1. J. de Frutos, T. Ortega, and J. M. Sanz-Serna, Math. Comput. 57, 109 (1991). 0025-5718
2. V. S. Manoranjan, T. Ortega, and J. M. Sanz-Serna, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.527850 29, 1964 (1988).
3. T. Ortega and J. M. Sanz-Serna, Numer. Math. NUMMA7 0029-599X 10.1007/BF01385620 58, 215 (1990).
4. H. El-Zoheiry, Appl. Numer. Math. 45, 161 (2003). 0168-9274
5. V. S. Manoranjan, A. R. Mitchell, and T. Ortega, SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. SIJCD4 0196-5204 5, 946 (1984).
6. E. Hairer, C. Lubich, and G. Wanner, Geometric Numerical Integration Structure-Preserving Algorithms for Ordinary Differential Equations, 2nd ed. (Springer, New York, 2005), Vol. 31.
7. B. Leimkuhler and S. Reich, Simulating Hamiltonian Dynamics (Cambridge University Press, Cambridge, England, 2004).
8. T. J. Bridges and S. Reich, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/19/S02 39, 5287 (2006).
9. S. Reich, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1999.6372 157, 473 (2000).
10. B. N. Ryland, R. I. McLachlan, and J. Frank, Int. J. Comput. Math. IJCMAT 0020-7160 10.1080/00207160701458633 84, 847 (2007).
11. B. N. Ryland and R. I. McLachlan, Center for Mathematics and Computer Science (CWI), 2007.
12. J. Hong, H. Liu, and G. Sun, Math. Comput. MCMPAF 0025-5718 10.1090/S0025-5718-05-01793-X 75, 167 (2005).
13. H. Liu and K. Zhang, IMA J. Numer. Anal. 26, 252 (2006). 0272-4979
14. J. Hong and C. Li, J. Comput. Phys. 211, 448 (2006). 0021-9991
15. J. B. Chen, Appl. Math. Comput. AMHCBQ 0096-3003 10.1016/j.amc.2003.12. 009 161, 55 (2005).
16. Q. Li, Y. Song, and Y. Wang, Appl. Math. Comput. 177, 36 (2006). 0096-3003
17. J. C. Alexander and R. Sachs, Nonlinear World ZZZZZZ 0942-5608 2, 471 (1995).
18. T. J. Bridges and G. Derks, Arch. Ration. Mech. Anal. AVRMAW 0003-9527 10.1007/s002050100155 156, 1 (2001).
19. W. P. Zeng, L. Y. Huang, and M. Z. Qin, Appl. Math. Mech. 23, 743 (2002). 0253-4827
20. J. Frank, B. E. Moore, and S. Reich, SIAM J. Sci. Comput. (USA) SJOCE3 1064-8275 10.1137/050628271 28, 260 (2006).
21. B. E. Moore, " A modified equations approches for multi-symplectic integration methods.," Ph.D. thesis, University of Surrey, 2003.
22. J. Hong, J. Shanshan, J. Chun, and J. Hongyu, Comm. Comp. Phys. ZZZZZZ 1815-2406 2, 662 (2007).
23. A. Aydn and B. Karasözen, Comput. Phys. Commun. 177, 566 (2007). 0010-4655