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Cited by 25

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A variable-step Numerov method for the numerical solution of the Schr�dinger equation

Vigo-Aguiar, Jes�s, Ramos, Higinio·2005·Journal of Mathematical Chemistry
DOI 10.1007/s10910-004-1467-3
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Cited by 25

Research works printed but not linked: 24

  1. E. Hairer, 1979, Numer. Math., 32, 373, 10.1007/BF01401041 · DOI
  2. J.P. Coleman, 1992, J. Comp. Appl. Math., 44, 95, 10.1016/0377-0427(92)90054-2 · DOI
  3. G. Denk, 1993, Appl. Numer. Math., 13, 57, 10.1016/0168-9274(93)90131-A · DOI
  4. M.S.H. Khiyal, 1997, J. Comput. Appl. Math., 79, 263, 10.1016/S0377-0427(96)00170-7 · DOI
  5. G. Papageorgiou, 1998, Numer. Algorithms, 17, 345, 10.1023/A:1016644726305 · DOI
  6. G. Psihoyios, 2004, Numer. Anal. Comput. Math., 1, 205, 10.1002/anac.200310017 · DOI
  7. E. Hairer, 1987, Solving Ordinary Differential Equations, 10.1007/978-3-662-12607-3 · DOI · Paper page
  8. J.D. Lambert, 1991, Numerical Methods for Ordinary Differential Systems
  9. L.G. Ixaru, 1984, Numerical Methods for Differential Equations and Applications
  10. L.G. Ixaru, 1980, Comput. Phys. Commun., 19, 23, 10.1016/0010-4655(80)90062-4 · DOI
  11. A.D. Raptis, 1982, Computing, 28, 373, 10.1007/BF02279820 · DOI
  12. J.R. Cash, 1984, Comput. Phys. Commun., 33, 299, 10.1016/0010-4655(84)90135-8 · DOI
  13. T.E. Simos, 1998, J. Math. Chem., 24, 23, 10.1023/A:1019102131621 · DOI
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  15. T.E. Simos, 2001, Comput. Chem., 25, 77, 10.1016/S0097-8485(00)00090-5 · DOI
  16. J. Vigo-Aguiar, 2001, J. Math. Chem., 29, 177, 10.1023/A:1010972322815 · DOI
  17. J. Vigo-Aguiar, 2001, Comput. Chem., 25, 97, 10.1016/S0097-8485(00)00092-9 · DOI
  18. R.M. Thomas, 1994, J. UMIST Numer Anal. Rep. No., 249, 1
  19. Z. Kalogiratou, 2002, J. Math. Chem., 31, 211, 10.1023/A:1016231100377 · DOI
  20. P. Henrici, 1962, Discrete Variable Methods in Ordinary Differential Equations
  21. L.F. Shampine, 1975, Computer Solution of Ordinary Differential Equations. The Initial Value Problem
  22. D.R. Willé, 1998, Adv. Comput. Math., 8, 335, 10.1023/A:1018960717197 · DOI
  23. M. Calvo, 2001, Numer. Algorithms, 27, 359, 10.1023/A:1013858030641 · DOI
  24. J.M. Blatt, 1967, J. Comput. Phys., 1, 382, 10.1016/0021-9991(67)90046-0 · DOI

Metadata

Authors
Vigo-Aguiar, J., & Ramos, H.
Venue
Journal of Mathematical Chemistry
Publisher
Springer Science and Business Media LLC
Published
2005-04
Volume
37
Issue
3
Pages
255-262
ISSN
  • 0259-9791
  • 1572-8897
DOI
10.1007/s10910-004-1467-3
Cited by
25
Language
en
Licence
www.springer.com/tdm (tdm)

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CoChat. (2026). Citation check: A variable-step Numerov method for the numerical solution of the Schr�dinger equation. https://app.cochat.ai/papers/10.1007/s10910-004-1467-3
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Vigo-Aguiar, J., & Ramos, H. (2005). A variable-step Numerov method for the numerical solution of the Schr�dinger equation. Journal of Mathematical Chemistry. https://doi.org/10.1007/s10910-004-1467-3

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.