{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T15:05:28Z","timestamp":1773241528546,"version":"3.50.1"},"reference-count":46,"publisher":"Informa UK Limited","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Computer Mathematics"],"published-print":{"date-parts":[[2007,11]]},"DOI":"10.1080\/00207160701546668","type":"journal-article","created":{"date-parts":[[2007,10,23]],"date-time":"2007-10-23T00:31:10Z","timestamp":1193099470000},"page":"1625-1651","source":"Crossref","is-referenced-by-count":5,"title":["New second- and fourth-order accurate numerical schemes for the nonlinear cubic Schr\u00f6dinger equation"],"prefix":"10.1080","volume":"84","author":[{"given":"Y. M.","family":"Samrout","sequence":"first","affiliation":[]}],"member":"301","reference":[{"key":"CIT0001","doi-asserted-by":"publisher","DOI":"10.1080\/00207169308804234"},{"key":"CIT0002","doi-asserted-by":"publisher","DOI":"10.1080\/00207169508804435"},{"key":"CIT0003","unstructured":"Lanczos, C. 1956.Applied Analysis, Edited by: Lanczos, C. 438\u2013507. Englewood Cliffs, NJ: Prentice-Hall."},{"key":"CIT0004","first-page":"191","volume-title":"Topics in Numerical Analysis","author":"Lanczos C.","year":"1973"},{"key":"CIT0005","doi-asserted-by":"publisher","DOI":"10.1002\/nme.1620120703"},{"key":"CIT0006","doi-asserted-by":"publisher","DOI":"10.1002\/nme.1620231213"},{"key":"CIT0007","volume-title":"The Method of Discretization in Time and Partial Differential Equations","author":"Rektoris K.","year":"1982"},{"key":"CIT0009","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/11.4.539"},{"key":"CIT0010","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/7\/1\/008"},{"key":"CIT0011","doi-asserted-by":"publisher","DOI":"10.1016\/0096-3003(94)00152-T"},{"key":"CIT0012","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1984-0744922-X"},{"key":"CIT0013","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-0208(08)70877-6"},{"key":"CIT0014","volume-title":"Linear and Nonlinear Waves","author":"Whitham G. B.","year":"1974"},{"key":"CIT0016","doi-asserted-by":"publisher","DOI":"10.1364\/JOSAB.16.000587"},{"key":"CIT0017","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/23\/21\/023"},{"key":"CIT0018","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(01)00312-1"},{"key":"CIT0019","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/36\/4\/322"},{"key":"CIT0020","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2004.07.028"},{"key":"CIT0021","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.59.1267"},{"key":"CIT0022","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/23\/3\/011"},{"key":"CIT0023","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/34\/48\/330"},{"key":"CIT0024","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.49.1677"},{"key":"CIT0025","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511569432"},{"key":"CIT0026","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7825(84)90156-7"},{"key":"CIT0027","doi-asserted-by":"publisher","DOI":"10.2991\/jnmp.2003.10.s2.6"},{"key":"CIT0028","first-page":"461","volume":"1","author":"Mitchell A. R.","year":"1983","journal-title":"Arab Gulf Journal of Scientific Research"},{"key":"CIT0029","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(84)90003-2"},{"key":"CIT0030","doi-asserted-by":"publisher","DOI":"10.1016\/0898-1221(96)00136-8"},{"key":"CIT0031","volume-title":"An Introduction to Numerical Analysis","author":"Atkinson K. E.","year":"1989","edition":"2"},{"key":"CIT0032","volume-title":"Chebyshev Polynomials in Numerical Analysis","author":"Fox L.","year":"1968"},{"key":"CIT0033","volume-title":"The Special Functions and Their Approximation","author":"Luke Y. L.","year":"1969"},{"key":"CIT0034","volume-title":"Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory","author":"Rivlin T. J.","year":"1980","edition":"2"},{"key":"CIT0035","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(81)90052-8"},{"key":"CIT0036","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(85)90008-7"},{"key":"CIT0037","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(83)90031-1"},{"key":"CIT0038","doi-asserted-by":"publisher","DOI":"10.1137\/0908080"},{"key":"CIT0039","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(72)90063-0"},{"key":"CIT0040","doi-asserted-by":"publisher","DOI":"10.1137\/0141018"},{"key":"CIT0041","first-page":"50","volume-title":"4th International Symposium on Domain Decomposition Methods for Partial Differential Equations","author":"Keller H. B.","year":"1990"},{"key":"CIT0042","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(84)90129-3"},{"key":"CIT0043","volume-title":"Finite Difference Methods for Partial Differential Equations","author":"Forsythe G. E.","year":"1960"},{"key":"CIT0044","volume-title":"Difference Methods for Initial Value Problems","author":"Richtmyer R. D.","year":"1967"},{"key":"CIT0045","volume-title":"Kronecker Products and Matrix Calculus","author":"Alexander G.","year":"1981"},{"key":"CIT0046","volume-title":"Matrix Computations","author":"Golub G. H.","year":"1989","edition":"2"},{"key":"CIT0047","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/36\/39\/305"},{"key":"CIT0048","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(99)00353-9"}],"container-title":["International Journal of Computer Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/00207160701546668","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,12,14]],"date-time":"2016-12-14T06:07:07Z","timestamp":1481695627000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.tandfonline.com\/doi\/abs\/10.1080\/00207160701546668"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,11]]},"references-count":46,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2007,11]]}},"alternative-id":["10.1080\/00207160701546668"],"URL":"https:\/\/doi.org\/10.1080\/00207160701546668","relation":{},"ISSN":["0020-7160","1029-0265"],"issn-type":[{"value":"0020-7160","type":"print"},{"value":"1029-0265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,11]]}}}