{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T13:38:38Z","timestamp":1777901918939,"version":"3.51.4"},"reference-count":5,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[1999,10,1]],"date-time":"1999-10-01T00:00:00Z","timestamp":938736000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIMULATION"],"published-print":{"date-parts":[[1999,10]]},"abstract":"<jats:p>Simulation engineers are occasionally required to include numerical integration in their simulation models. The technique most often used is the simple \"trapezoid method.\" In this short tutorial, we review Gaussian Quadrature techniques for nu merical integration and show how careful deployment of coefficient weights and se lection of the number of coefficients can dramatically reduce the work required to produce excellent numerical results.<\/jats:p>","DOI":"10.1177\/003754979907300405","type":"journal-article","created":{"date-parts":[[2008,3,29]],"date-time":"2008-03-29T13:23:43Z","timestamp":1206797023000},"page":"232-237","source":"Crossref","is-referenced-by-count":8,"title":["Efficient Numerical Integration Using Gaussian Quadrature"],"prefix":"10.1177","volume":"73","author":[{"given":"J.","family":"Place","sequence":"first","affiliation":[{"name":"Computer Science Telecommunication Program University of Missouri-Kansas City Kansas City, Missouri, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"Stach","sequence":"additional","affiliation":[{"name":"Computer Science Telecommunication Program University of Missouri-Kansas City Kansas City, Missouri, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[1999,10,1]]},"reference":[{"key":"atypb1","volume-title":"Applied Numerical Analysis","author":"Gerald, C.","year":"1994"},{"key":"atypb2","volume-title":"Numerical Methods for Engineers and Computer Scientists","author":"Hultquist, P.","year":"1988"},{"key":"atypb3","unstructured":"Davis, P. and Polonsky, I. \"Numerical Interpolation, Differentiation and Integration.\" Handbook of Mathematical Functions, M. Abramowitz and I. Stegum (eds.), Vol. 55, pp 875-924, U.S. Dept. of Commerce, New York, 1972."},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-7386-9"},{"key":"atypb5","volume":"1","author":"Young, D.","year":"1973","journal-title":"Numerical Mathematics"}],"container-title":["SIMULATION"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/003754979907300405","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/003754979907300405","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T11:13:11Z","timestamp":1777633991000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/003754979907300405"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,10]]},"references-count":5,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1999,10]]}},"alternative-id":["10.1177\/003754979907300405"],"URL":"https:\/\/doi.org\/10.1177\/003754979907300405","relation":{},"ISSN":["0037-5497","1741-3133"],"issn-type":[{"value":"0037-5497","type":"print"},{"value":"1741-3133","type":"electronic"}],"subject":[],"published":{"date-parts":[[1999,10]]}}}