{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,7]],"date-time":"2025-07-07T07:26:02Z","timestamp":1751873162989},"reference-count":15,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2001,1,1]],"date-time":"2001-01-01T00:00:00Z","timestamp":978307200000},"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 &amp; Chemistry"],"published-print":{"date-parts":[[2001,1]]},"DOI":"10.1016\/s0097-8485(00)00090-5","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T13:30:40Z","timestamp":1027603840000},"page":"77-82","source":"Crossref","is-referenced-by-count":24,"title":["New insights in the development of Numerov-type methods with minimal phase-lag for the numerical solution of the Schr\u00f6dinger equation"],"prefix":"10.1016","volume":"25","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(00)00090-5_BIB1","doi-asserted-by":"crossref","first-page":"378","DOI":"10.1016\/0021-9991(70)90037-9","article-title":"The numerical solution of coupled differential equations arising from the Schr\u00f6dinger equation","volume":"6","author":"Allison","year":"1970","journal-title":"J. Comput. Phys."},{"key":"10.1016\/S0097-8485(00)00090-5_BIB2","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1098\/rspa.1963.0142","article-title":"Thermal scattering of atoms by homonuclear diatomic molecules","volume":"274","author":"Berstein","year":"1963","journal-title":"Proc. R. Soc. Lond. Ser. A"},{"key":"10.1016\/S0097-8485(00)00090-5_BIB3","doi-asserted-by":"crossref","first-page":"795","DOI":"10.1063\/1.1731265","article-title":"Quantum mechanical (phase shift) analysis of differential elastic scattering of molecular beams","volume":"33","author":"Berstein","year":"1960","journal-title":"J. Chem. Phys."},{"key":"10.1016\/S0097-8485(00)00090-5_BIB4","doi-asserted-by":"crossref","first-page":"382","DOI":"10.1016\/0021-9991(67)90046-0","article-title":"Practical points concerning the solution of the Schr\u00f6dinger equation","volume":"1","author":"Blatt","year":"1967","journal-title":"J. Comput. Phys."},{"key":"10.1016\/S0097-8485(00)00090-5_BIB5","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1016\/0010-4655(84)90135-8","article-title":"A high order method for the numerical solution of the one-dimensional Schr\u00f6dinger equation","volume":"33","author":"Cash","year":"1984","journal-title":"Comput. Phys. Commun."},{"key":"10.1016\/S0097-8485(00)00090-5_BIB6","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1093\/imanum\/9.2.145","article-title":"Numerical methods for y\u2033=f(x,y) via rational approximation for the cosine","volume":"9","author":"Coleman","year":"1989","journal-title":"IMA J. Numerical Anal."},{"key":"10.1016\/S0097-8485(00)00090-5_BIB7","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1093\/imanum\/7.4.423","article-title":"High-order embedded Runge\u2013Kutta\u2013Nystr\u00f6m formulae","volume":"7","author":"Dormand","year":"1987","journal-title":"IMA J. Numerical Anal."},{"key":"10.1016\/S0097-8485(00)00090-5_BIB8","series-title":"Spectra of Diatomic Molecules","author":"Herzberg","year":"1950"},{"key":"10.1016\/S0097-8485(00)00090-5_BIB9","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1093\/imamat\/18.2.189","article-title":"Symmetric multistep methods for periodic initial value problems","volume":"18","author":"Lambert","year":"1976","journal-title":"J. Inst. Math. Appl."},{"key":"10.1016\/S0097-8485(00)00090-5_BIB10","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/0010-4655(85)90117-1","article-title":"A variable step method for the numerical integration of the one-dimensional Schr\u00f6dinger equation","volume":"36","author":"Raptis","year":"1985","journal-title":"Comput. Phys. Commun."},{"key":"10.1016\/S0097-8485(00)00090-5_BIB11","doi-asserted-by":"crossref","first-page":"376","DOI":"10.1137\/1018075","article-title":"Solving non-stiff ordinary differential equations \u2014 the state of the art","volume":"18","author":"Shampine","year":"1975","journal-title":"SIAM Rev."},{"key":"10.1016\/S0097-8485(00)00090-5_BIB12","unstructured":"Simos, T.E., 1990. Numerical solution of ordinary differential equations with periodical solution. Doctoral Dissertation, National Technical University of Athens, Greece."},{"key":"10.1016\/S0097-8485(00)00090-5_BIB13","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1142\/S0218202595000103","article-title":"An explicit high order predictor-corrector method for periodic initial-value problems","volume":"5","author":"Simos","year":"1995","journal-title":"Math. Methods Models Appl. Sci."},{"key":"10.1016\/S0097-8485(00)00090-5_BIB14","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1002\/qua.560530504","article-title":"Predictor-corrector phase-fitted methods for y\u2033=f(x,y) and an application to the Schr\u00f6dinger equation","volume":"53","author":"Simos","year":"1995","journal-title":"Int. J. Quantum Chem."},{"key":"10.1016\/S0097-8485(00)00090-5_BIB15","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1002\/(SICI)1097-461X(1997)62:5<467::AID-QUA3>3.0.CO;2-U","article-title":"New Numerov-type methods for computing eigenvalues, resonances and phase shifts of the radial Schr\u00f6dinger equation","volume":"62","author":"Simos","year":"1997","journal-title":"Int. J. Quantum Chem."}],"container-title":["Computers &amp; Chemistry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0097848500000905?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0097848500000905?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,24]],"date-time":"2019-04-24T17:27:25Z","timestamp":1556126845000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0097848500000905"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,1]]},"references-count":15,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2001,1]]}},"alternative-id":["S0097848500000905"],"URL":"https:\/\/doi.org\/10.1016\/s0097-8485(00)00090-5","relation":{},"ISSN":["0097-8485"],"issn-type":[{"value":"0097-8485","type":"print"}],"subject":[],"published":{"date-parts":[[2001,1]]}}}