{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,27]],"date-time":"2024-07-27T04:39:33Z","timestamp":1722055173095},"reference-count":7,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2018,4,6]],"date-time":"2018-04-06T00:00:00Z","timestamp":1522972800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Math.Comput.Sci."],"published-print":{"date-parts":[[2018,6]]},"DOI":"10.1007\/s11786-018-0334-8","type":"journal-article","created":{"date-parts":[[2018,4,6]],"date-time":"2018-04-06T20:23:49Z","timestamp":1523046229000},"page":"197-205","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Solving Differential and Integral Equations with Tau Method"],"prefix":"10.1007","volume":"12","author":[{"given":"J. C.","family":"Matos","sequence":"first","affiliation":[]},{"given":"J. M. A.","family":"Matos","sequence":"additional","affiliation":[]},{"given":"M. J.","family":"Rodrigues","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,4,6]]},"reference":[{"key":"334_CR1","volume-title":"Handbook of Mathematical Functions","author":"M Abramowitz","year":"1972","unstructured":"Abramowitz, M., Stegun, I.: Handbook of Mathematical Functions, 9th edn. Dover Publications, New York (1972)","edition":"9"},{"key":"334_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-30726-6","volume-title":"Spectral Methods. Scientific Computation, Fundamentals in Single Domains","author":"C Canuto","year":"2006","unstructured":"Canuto, C., Hussaini, M., Quarteroni, A., Zang, T.: Spectral Methods. Scientific Computation, Fundamentals in Single Domains. Springer, Berlin (2006)"},{"key":"334_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-46783-0","volume-title":"Polynomial Approximations of Differential Equations","author":"D Funaro","year":"1992","unstructured":"Funaro, D.: Polynomial Approximations of Differential Equations. Springer, Berlin (1992)"},{"key":"334_CR4","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970425","volume-title":"Numerical Analysis of Spectral Methods: Theory and Applications","author":"D Gottlieb","year":"1977","unstructured":"Gottlieb, D., Orszag, S.: Numerical Analysis of Spectral Methods: Theory and Applications. SIAM-CBMS, Philadelphia (1977)"},{"key":"334_CR5","unstructured":"Ortiz, E.L., Samara, H.: A new operational approach to the numerical solution of differential equations in terms of polynomials. In: Shaw, R., Pilkey, W. (eds.) Innovative Numerical Analysis for the Engineering Sciences, pp. 643\u2013652. The University Press of Virginia, Charlottesville (1980)"},{"issue":"1","key":"334_CR6","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1007\/BF02243435","volume":"27","author":"EL Ortiz","year":"1981","unstructured":"Ortiz, E.L., Samara, H.: An operational approach to the tau method for the numerical solution of non-linear differential equations. Computing 27(1), 15\u201325 (1981)","journal-title":"Computing"},{"key":"334_CR7","unstructured":"Matos, J.M.A., Rodrigues, M.J., Matos, J.C.: Explicit formulae for derivatives and primitives of orthogonal polynomials (2017). arXiv:1703.00743v2 [math.NA]"}],"container-title":["Mathematics in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11786-018-0334-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11786-018-0334-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11786-018-0334-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,14]],"date-time":"2019-10-14T13:18:09Z","timestamp":1571059089000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11786-018-0334-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4,6]]},"references-count":7,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2018,6]]}},"alternative-id":["334"],"URL":"https:\/\/doi.org\/10.1007\/s11786-018-0334-8","relation":{},"ISSN":["1661-8270","1661-8289"],"issn-type":[{"value":"1661-8270","type":"print"},{"value":"1661-8289","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,4,6]]},"assertion":[{"value":"30 May 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 January 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 January 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 April 2018","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}