{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T13:30:42Z","timestamp":1751376642713},"reference-count":37,"publisher":"Elsevier BV","issue":"2-3","license":[{"start":{"date-parts":[[1998,4,1]],"date-time":"1998-04-01T00:00:00Z","timestamp":891388800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computers & Chemistry"],"published-print":{"date-parts":[[1998,4]]},"DOI":"10.1016\/s0097-8485(97)00051-x","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T22:58:12Z","timestamp":1027637892000},"page":"185-218","source":"Crossref","is-referenced-by-count":10,"title":["Computer algebra programmes for the construction of a family of Numerov-type exponentially-fitted methods for the numerical solution of the Schr\u00f6dinger equation"],"prefix":"10.1016","volume":"22","author":[{"given":"T.E.","family":"Simos","sequence":"first","affiliation":[]},{"given":"P.S.","family":"Williams","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0097-8485(97)00051-X_BIB1","doi-asserted-by":"crossref","first-page":"378","DOI":"10.1016\/0021-9991(70)90037-9","volume":"6","author":"Allison","year":"1970","journal-title":"J. Comput. Phys."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB2","doi-asserted-by":"crossref","first-page":"540","DOI":"10.1098\/rspa.1960.0125","volume":"256","author":"Arthurs","year":"1960","journal-title":"Proceedings of the Royal Society, Series A"},{"key":"10.1016\/S0097-8485(97)00051-X_BIB3","doi-asserted-by":"crossref","first-page":"795","DOI":"10.1063\/1.1731265","volume":"33","author":"Bernstein","year":"1960","journal-title":"Journal of Chemical Physics"},{"key":"10.1016\/S0097-8485(97)00051-X_BIB4","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1098\/rspa.1963.0142","volume":"274","author":"Bernstein","year":"1963","journal-title":"Proceedings of the Royal Society, Series A"},{"key":"10.1016\/S0097-8485(97)00051-X_BIB5","doi-asserted-by":"crossref","first-page":"382","DOI":"10.1016\/0021-9991(67)90046-0","volume":"1","author":"Blatt","year":"1967","journal-title":"J. Comput. Phys."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB6","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1016\/0010-4655(84)90135-8","volume":"33","author":"Cash","year":"1984","journal-title":"Comput. Phys. Commun."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB7","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1016\/0021-9991(90)90045-3","volume":"91","author":"Cash","year":"1990","journal-title":"J. Comput. Phys."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB8","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1093\/imanum\/9.2.145","volume":"9","author":"Coleman","year":"1989","journal-title":"IMA J. Numer. Anal."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB9","first-page":"363","volume":"15","author":"Cooley","year":"1961","journal-title":"Math. Comp."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB10","doi-asserted-by":"crossref","unstructured":"Hairer, E., N\u2205rsett, S. P. and Wanner, G. (1987) Solving Ordinary Differential Equations I. Springer\u2013Verlag, Berlin","DOI":"10.1007\/978-3-662-12607-3_2"},{"key":"10.1016\/S0097-8485(97)00051-X_BIB11","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1016\/0021-9991(74)90109-0","volume":"16","author":"Hajj","year":"1974","journal-title":"J. Comput. Phys."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB12","unstructured":"Henrici, P. (1962) Discrete variable methods in Ordinary Differential Equations. John Wiley, New York"},{"key":"10.1016\/S0097-8485(97)00051-X_BIB13","unstructured":"Herzberg, G. (1950) Spectra of Diatomic Molecules. Van Nostrand, Toronto"},{"key":"10.1016\/S0097-8485(97)00051-X_BIB14","unstructured":"Ixaru, L. Gr. and Micu, M. (1978) Topics in Theoretical Physics. Central Institute of Physics, Bucharest"},{"key":"10.1016\/S0097-8485(97)00051-X_BIB15","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/0010-4655(80)90062-4","volume":"19","author":"Ixaru","year":"1980","journal-title":"Comput. Phys. Commun."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB16","doi-asserted-by":"crossref","first-page":"1411","DOI":"10.1088\/0305-4470\/20\/6\/024","volume":"20","author":"Killingbeck","year":"1987","journal-title":"J. Phys. A, Math. Gen."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB17","doi-asserted-by":"crossref","first-page":"844","DOI":"10.1002\/jcc.540090807","volume":"9","author":"Kobeissi","year":"1988","journal-title":"J. Comput. Chem."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB18","doi-asserted-by":"crossref","first-page":"501","DOI":"10.1016\/0021-9991(88)90180-5","volume":"77","author":"Kobeissi","year":"1988","journal-title":"J. Comput. Phys."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB19","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1088\/0305-4470\/22\/3\/012","volume":"22","author":"Kobeissi","year":"1989","journal-title":"J. Phys. A, Math. Gen."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB20","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/0010-4655(92)90089-H","volume":"70","author":"Kroes","year":"1992","journal-title":"Comput. Phys. Commun."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB21","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1093\/imamat\/18.2.189","volume":"18","author":"Lambert","year":"1976","journal-title":"J. Inst. Math. Applics."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB22","unstructured":"Landau, L. D. and Lifshitz, F. M. (1965) Quantum Mechanics. Pergamon, New York"},{"key":"10.1016\/S0097-8485(97)00051-X_BIB23","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/BF01395931","volume":"19","author":"Lyche","year":"1972","journal-title":"Numer. Math."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB24","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0010-4655(81)90101-6","volume":"24","author":"Raptis","year":"1981","journal-title":"Comput. Phys. Commun."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB25","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1007\/BF02279820","volume":"28","author":"Raptis","year":"1982","journal-title":"Computing"},{"key":"10.1016\/S0097-8485(97)00051-X_BIB26","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1016\/0010-4655(83)90036-X","volume":"28","author":"Raptis","year":"1983","journal-title":"Comput. Phys. Commun."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB27","first-page":"113","volume":"25","author":"Raptis","year":"1984","journal-title":"Bull. Greek Math. Soc."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB28","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0010-4655(78)90047-4","volume":"14","author":"Raptis","year":"1978","journal-title":"Comput. Phys. Commun."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB29","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/0010-4655(87)90020-8","volume":"44","author":"Raptis","year":"1987","journal-title":"Comput. Phys. Commun."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB30","unstructured":"Simos, T. E. (1990) Numerical solution of ordinary differential equations with periodical solution, Doctoral Dissertation, National Technical University of Athens"},{"key":"10.1016\/S0097-8485(97)00051-X_BIB31","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1016\/0377-0427(90)90278-8","volume":"30","author":"Simos","year":"1990","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB32","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1093\/imanum\/11.3.347","volume":"11","author":"Simos","year":"1991","journal-title":"IMA J. Numer. Anal."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB33","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1016\/0010-4655(92)90069-B","volume":"71","author":"Simos","year":"1992","journal-title":"Comput. Phys. Commun."},{"key":"10.1016\/S0097-8485(97)00051-X_BIB34","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1016\/0375-9601(93)90013-P","volume":"177","author":"Simos","year":"1993","journal-title":"Physics Letters A"},{"key":"10.1016\/S0097-8485(97)00051-X_BIB35","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1016\/0097-8485(96)00005-8","volume":"20","author":"Simos","year":"1996","journal-title":"Computers and Chemistry"},{"key":"10.1016\/S0097-8485(97)00051-X_BIB36","unstructured":"Simos, T. E. and Williams, P. S., Computers and Chemistry (in press)"},{"key":"10.1016\/S0097-8485(97)00051-X_BIB37","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1016\/0377-0427(89)90350-6","volume":"29","author":"Vanden Berghe","year":"1989","journal-title":"J. Comput. Appl. Math."}],"container-title":["Computers & Chemistry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S009784859700051X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S009784859700051X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,13]],"date-time":"2019-04-13T22:00:19Z","timestamp":1555192819000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S009784859700051X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,4]]},"references-count":37,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[1998,4]]}},"alternative-id":["S009784859700051X"],"URL":"https:\/\/doi.org\/10.1016\/s0097-8485(97)00051-x","relation":{},"ISSN":["0097-8485"],"issn-type":[{"value":"0097-8485","type":"print"}],"subject":[],"published":{"date-parts":[[1998,4]]}}}