A new symmetric linear eight-step method with fifth trigonometric order for the efficient integration of the Schrdinger equation

Applied Mathematics Letters

Volumn 24, Issue 8, 2011, Pages 1468-1472

  Anastassi, Z A ^a  

^a TECHNOLOGICAL EDUCATIONAL INSTITUTE OF KALAMATA   (Greece)

Author keywords

Numerical solution; Ordinary differential equations; Schrdinger equation; Symmetric linear multistep methods; Trigonometric fitting

Indexed keywords

CLASSICAL METHODS; INTERVAL OF PERIODICITY; LINEAR MULTISTEP METHOD; LOCAL TRUNCATION ERRORS; MAXIMUM POWER; NUMERICAL SOLUTION; SCHRDINGER EQUATIONS; STEP METHOD; TRIGONOMETRIC FITTING;

DIFFERENTIATION (CALCULUS); ERROR ANALYSIS; ORDINARY DIFFERENTIAL EQUATIONS;

NUMERICAL METHODS;

EID: 79955484024     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2011.03.035     Document Type: Article

References (22)

1. Z.A. Anastassi, and T.E. Simos Phys. Rep. 482483 2009 1 240
2. Z.A. Anastassi, and T.E. Simos MATCH Commun. Math. Comput. Chem. 60 2008 733 752
3. G.A. Panopoulos, Z.A. Anastassi, and T.E. Simos MATCH Commun. Math. Comput. Chem. 60 2008 773 785
4. G. Quinlan, arXiv (1999) astro-ph/9901136v1.
5. G. Quinlan, and S. Tremaine Astron. J. 100 1990 1694 1700
6. Z.A. Anastassi, and T.E. Simos J. Math. Chem. 41 2007 79 100
7. Z.A. Anastassi, and T.E. Simos J. Math. Chem. 37 2005 281 293
8. J. Coleman, and L. Ixaru IMA J. Numer. Anal. 16 1996 179 199
9. T. Monovasilis, Z. Kalogiratou, and T.E. Simos Comput. Phys. Commun. 177 2007 757 763
10. T.E. Simos, and C. Tsitouras J. Comput. Phys. 130 1997 123 128
11. L. Ixaru, and M. Rizea Comput. Phys. Commun. 19 1980 23 27
12. T.E. Simos Appl. Math. Lett. 22 2009 1616 1621
13. R. D'Ambrosio, M. Ferro, and B. Paternoster Appl. Math. Lett. 22 2009 1076 1080
14. E.M. Constantinescu Appl. Math. Lett. 22 2009 1425 1428
15. T.E. Simos Appl. Math. Lett. 17 2004 601 607
16. T.E. Simos Appl. Math. Lett. 15 2002 217 225
17. T.E. Simos Appl. Math. Lett. 9 1996 61 66
18. T.E. Simos Appl. Math. Lett. 6 1993 67 73
19. T.E. Simos Appl. Math. Lett. 6 1993 9 12
20. J. Lambert, and I. Watson J. Inst. Math. Appl. 18 1976 189 202
21. E. Hairer, C. Lubich, and G. Wanner Springer Series in Computational Mathematics 2nd ed. 2006 Springer
22. J. Butcher John Wiley & Sons Ltd. 2nd ed. 2008