A phase-fitted and amplification-fitted explicit two-step hybrid method for second-order periodic initial value problems

International Journal of Modern Physics C

Volumn 17, Issue 5, 2006, Pages 663-675

  Van De Vyver, Hans ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Explicit hybrid methods; Numerical solution; Oscillating solutions; Phase fitting; Second order IVPs; Two step methods; Variable coefficients

Indexed keywords

EID: 33744786774     PISSN: 01291831     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129183106009394     Document Type: Article

References (27)

1. E. Hairer, S. P. Nørsett and G. Wanner, Solving Ordinary Differential Equations I, Nonstiff Problems, 2nd edn. (Springer-Veiiag, Berlin, Heidelberg, New York, 1993).
2. L. Brusa and L. Nigro, Int. J. Num. Methods Engrg. 15, 685 (1980).
3. M. M. Chawla and P. S. Rao, J. Comput. Appl. Math. 11, 277 (1984).
4. M. M. Chawla and P. S. Rao, J. Comput. Appl. Math. 17, 365 (1987).
5. T. E. Simos and T. E. Williams, Computers and Chemistry 25, 77 (2001).
6. P. J. Van der Houwen and B. P. Sommeijer, SIAM J. Numer. Anal. 24, 595 (1987).
7. A. D. Raptis and T. E. Simos, BIT 31, 160 (1991).
8. T. E. Simos, Int. J. Computer Math. 39, 135 (1991).
9. Z. A. Anastassi and T. E. Simos, Int. J. Mod. Phys. C 15, l (2004).
10. Z. A. Anastassi and T. E. Simos, New Astronomy 10, 31 (2004).
11. H. Van de Vyver, Int. J. Mod. Phys. C 16, 879 (2005).
12. L. Gr. Ixarn and G. Vanden Berghe, Exponential Fitting (Kluwer Academic Publish ers, Dordrecht, Boston, London, 2004).
13. H. Van de Vyver, J. Comput. Appl. Math. 184, 442 (2005).
14. H. Van de Vyver, J. Comput. Appl. Math. 188, 309 (2006).
15. H. Van de Vyver, Comput. Phys. Commun. 174, 255 (2006).
16. G. Psihoyios and T. E. Simos, Appl. Num. Anal. Comput. Math. 1, 205 (2004).
17. M. M. Chawla, BIT 21, 190 (1981).
18. J. P. Coleman, IMA J. Num. Anal. 23, 197 (2003).
19. J. M. Franco, J. Comput. Appl. Math. 187, 41 (2006).
20. J. D. Lambert and I. A. Watson, J. Inst. Math. Appl. 18, 189 (1976).
21. M. M. Chawla and S. R. Sharma, BIT 21, 455 (1981).
22. Ch. Tsitouras, Comput. Math. Appl. 45, 37 (2003).
23. J. P. Coleman and L. Gr. Ixaru, IMA J. Numer. Anal. 16, 179 (1996).
24. H. Van de Vyver, Comput. Phys. Commun. 173, 115 (2005).
25. J. P. Coleman and S. C. Duxbury, J. Comput. Appl. Math. 126, 47 (2000).
26. J. M. Franco and M. Palacios, J. Comput. Appl. Math. 30, 1 (1990).
27. J. M. Franco, J. Comput. Appl. Math. 161, 283 (2003).