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It allows the fast and accurate computation of the eigenvalues and the visualization of the corresponding eigenfunctions. This is realized by making use of the power of high-order piecewise constant perturbation methods, a technique described by Ixaru. For a well-outlined class of problems, the implemented algorithms are more efficient than the well-established SL-solvers SL02f, SLEDGE, SLEIGN, and SLEIGN2, which are included by Pryce in the SLDRIVER code that has been built on top of SLTSTPAK.<\/jats:p>","DOI":"10.1145\/1114268.1114273","type":"journal-article","created":{"date-parts":[[2006,5,8]],"date-time":"2006-05-08T16:09:20Z","timestamp":1147104560000},"page":"532-554","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":85,"title":["MATSLISE"],"prefix":"10.1145","volume":"31","author":[{"given":"V.","family":"Ledoux","sequence":"first","affiliation":[{"name":"Ghent University, Gent, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. Van","family":"Daele","sequence":"additional","affiliation":[{"name":"Ghent University, Gent, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G. Vanden","family":"Berghe","sequence":"additional","affiliation":[{"name":"Ghent University, Gent, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2005,12]]},"reference":[{"key":"e_1_2_1_1_1","unstructured":"Abramowitz M. and Stegun I. A. 1965. Handbook of Mathematical Functions. Dover New York NY.   Abramowitz M. and Stegun I. A. 1965. Handbook of Mathematical Functions. Dover New York NY."},{"key":"e_1_2_1_2_1","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1007\/BF01389712","article-title":"Correction of Numerov's eigenvalue estimates","volume":"47","author":"Andrew A. L.","year":"1985","unstructured":"Andrew , A. L. , and Paine , J. W. 1985 . Correction of Numerov's eigenvalue estimates . Numer. Math. 47 , 289 -- 300 . Andrew, A. L., and Paine, J. W. 1985. Correction of Numerov's eigenvalue estimates. Numer. Math. 47, 289--300.","journal-title":"Numer. 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Comput. Phys. Commun. 147 , 834 -- 852 . Ixaru, L. Gr. 2002. LILIX---a package for the solution of the coupled channel Schr\u00f6dinger equation. Comput. Phys. Commun. 147, 834--852.","journal-title":"Comput. Phys. Commun."},{"key":"e_1_2_1_11_1","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/j.cpc.2004.07.001","article-title":"CP methods of higher order for Sturm-Liouville and Schr\u00f6dinger equations","volume":"162","author":"Ledoux V.","year":"2004","unstructured":"Ledoux , V. , Van Daele , M. , and Vanden Berghe , G. 2004 . CP methods of higher order for Sturm-Liouville and Schr\u00f6dinger equations . Comput. Phys. Commun. 162 , 151 -- 165 . Ledoux, V., Van Daele, M., and Vanden Berghe, G. 2004. CP methods of higher order for Sturm-Liouville and Schr\u00f6dinger equations. Comput. Phys. Commun. 162, 151--165.","journal-title":"Comput. Phys. 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