{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T18:21:44Z","timestamp":1758824504287},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2013,3,28]],"date-time":"2013-03-28T00:00:00Z","timestamp":1364428800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer. Math."],"published-print":{"date-parts":[[2013,11]]},"DOI":"10.1007\/s00211-013-0541-9","type":"journal-article","created":{"date-parts":[[2013,3,27]],"date-time":"2013-03-27T05:29:48Z","timestamp":1364362188000},"page":"545-568","source":"Crossref","is-referenced-by-count":5,"title":["DE-Sinc methods have almost the same convergence property as SE-Sinc methods even for a family of functions fitting the SE-Sinc methods"],"prefix":"10.1007","volume":"125","author":[{"given":"Ken\u2019ichiro","family":"Tanaka","sequence":"first","affiliation":[]},{"given":"Tomoaki","family":"Okayama","sequence":"additional","affiliation":[]},{"given":"Takayasu","family":"Matsuo","sequence":"additional","affiliation":[]},{"given":"Masaaki","family":"Sugihara","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,3,28]]},"reference":[{"key":"541_CR1","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1090\/S0025-5718-1993-1149292-9","volume":"60","author":"S Haber","year":"1993","unstructured":"Haber, S.: Two formulas for numerical indefinite integration. Math. Comput. 60, 279\u2013296 (1993)","journal-title":"Math. Comput."},{"key":"541_CR2","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1016\/S0377-0427(00)00501-X","volume":"127","author":"M Mori","year":"2001","unstructured":"Mori, M., Sugihara, M.: The double-exponential transformation in numerical analysis. J. Comput. Appl. Math. 127, 287\u2013296 (2001)","journal-title":"J. Comput. Appl. Math."},{"key":"541_CR3","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1016\/j.cam.2003.05.002","volume":"161","author":"M Muhammad","year":"2003","unstructured":"Muhammad, M., Mori, M.: Double exponential formulas for numerical indefinite integration. J. Comput. Appl. Math. 161, 431\u2013448 (2003)","journal-title":"J. Comput. Appl. Math."},{"key":"541_CR4","first-page":"470","volume":"8","author":"T Okayama","year":"2010","unstructured":"Okayama, T., Matsuo, T., Masaaki, S.: Approximate formulae for fractional derivatives by means of Sinc methods. J. Concr. Appl. Math. 8, 470\u2013488 (2010)","journal-title":"J. Concr. Appl. Math."},{"key":"541_CR5","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1007\/s10543-010-0289-x","volume":"51","author":"T Okayama","year":"2011","unstructured":"Okayama, T., Matsuo, T., Sugihara, M.: Improvement of a Sinc-collocation method for Fredholm integral equations of the second kind. BIT Numer. Math. 51, 339\u2013366 (2011)","journal-title":"BIT Numer. Math."},{"key":"541_CR6","doi-asserted-by":"crossref","unstructured":"Okayama, T., Matsuo, T., Sugihara, M.: Error estimates with explicit constants for Sinc approximation, Sinc quadrature and Sinc indefinite integration. Numer. Math. (2013). doi: 10.1007\/s00211-013-0515-y","DOI":"10.1007\/s00211-013-0515-y"},{"key":"541_CR7","doi-asserted-by":"crossref","unstructured":"Okayama, T., Tanaka, K., Matsuo, T., Sugihara, M.: DE-Sinc methods have almost the same convergence property as SE-Sinc methods even for a family of functions fitting the SE-Sinc methods. Part I: Definite integration and function approximation. Numer. Math. (2013). doi: 10.1007\/s00211-013-0540-x","DOI":"10.1007\/s00211-013-0540-x"},{"key":"541_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-2706-9","volume-title":"Numerical Methods Based on Sinc and Analytic Functions","author":"F Stenger","year":"1993","unstructured":"Stenger, F.: Numerical Methods Based on Sinc and Analytic Functions. Springer, New York (1993)"},{"key":"541_CR9","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1016\/S0377-0427(00)00348-4","volume":"121","author":"F Stenger","year":"2000","unstructured":"Stenger, F.: Summary of Sinc numerical methods. J. Comput. Appl. Math. 121, 379\u2013420 (2000)","journal-title":"J. Comput. Appl. Math."},{"key":"541_CR10","doi-asserted-by":"crossref","first-page":"673","DOI":"10.1016\/j.cam.2003.09.016","volume":"164\u2013165","author":"M Sugihara","year":"2004","unstructured":"Sugihara, M., Matsuo, T.: Recent developments of the Sinc numerical methods. J. Comput. Appl. Math. 164\u2013165, 673\u2013689 (2004)","journal-title":"J. Comput. Appl. Math."},{"key":"541_CR11","doi-asserted-by":"crossref","first-page":"655","DOI":"10.1090\/S0025-5718-04-01724-7","volume":"74","author":"K Tanaka","year":"2005","unstructured":"Tanaka, K., Sugihara, M., Murota, K.: Numerical indefinite integration by double exponential sinc method. Math. Comput. 74, 655\u2013679 (2005)","journal-title":"Math. Comput."},{"key":"541_CR12","doi-asserted-by":"crossref","first-page":"1553","DOI":"10.1090\/S0025-5718-08-02196-0","volume":"78","author":"K Tanaka","year":"2009","unstructured":"Tanaka, K., Sugihara, M., Murota, K.: Function classes for successful DE-Sinc approximations. Math. Comput. 78, 1553\u20131571 (2009)","journal-title":"Math. Comput."},{"key":"541_CR13","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1007\/s00211-008-0195-1","volume":"111","author":"K Tanaka","year":"2009","unstructured":"Tanaka, K., Sugihara, M., Murota, K., Mori, M.: Function classes for double exponential integration formulas. Numer. Math. 111, 631\u2013655 (2009)","journal-title":"Numer. Math."}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-013-0541-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00211-013-0541-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-013-0541-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T16:22:48Z","timestamp":1558628568000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00211-013-0541-9"}},"subtitle":["Part II: indefinite integration"],"short-title":[],"issued":{"date-parts":[[2013,3,28]]},"references-count":13,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2013,11]]}},"alternative-id":["541"],"URL":"https:\/\/doi.org\/10.1007\/s00211-013-0541-9","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,3,28]]}}}