{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:40:34Z","timestamp":1753886434969,"version":"3.41.2"},"reference-count":19,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,9,23]],"date-time":"2012-09-23T00:00:00Z","timestamp":1348358400000},"content-version":"vor","delay-in-days":266,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Program of Science and Technology of Huainan","award":["2011A08005"],"award-info":[{"award-number":["2011A08005"]}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>We propose long\u2010time convergent numerical integration processes for delay differential equations. We first construct an integration process based on modified Laguerre functions. Then we establish its global convergence in certain weighted Sobolev space. The proposed numerical integration processes can also be used for systems of delay differential equations. We also developed a technique for refinement of modified Laguerre\u2010Radau interpolations. Lastly, numerical results demonstrate the spectral accuracy of the proposed method and coincide well with analysis.<\/jats:p>","DOI":"10.1155\/2012\/978729","type":"journal-article","created":{"date-parts":[[2012,9,23]],"date-time":"2012-09-23T21:03:00Z","timestamp":1348434180000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Integration Processes of Delay Differential Equation Based on Modified Laguerre Functions"],"prefix":"10.1155","volume":"2012","author":[{"given":"Yeguo","family":"Sun","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,9,23]]},"reference":[{"key":"e_1_2_8_1_2","first-page":"353","article-title":"Structural properties of functional-differential equations in Banach spaces","volume":"25","author":"Nakagiri S. 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