{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,24]],"date-time":"2025-11-24T12:35:57Z","timestamp":1763987757721,"version":"3.37.3"},"reference-count":21,"publisher":"Wiley","license":[{"start":{"date-parts":[[2016,8,18]],"date-time":"2016-08-18T00:00:00Z","timestamp":1471478400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Numerical Analysis"],"published-print":{"date-parts":[[2016,8,18]]},"abstract":"<jats:p>In radial basis function approximation, the shape parameter can be variable. The values of the variable shape parameter strategies are selected from an interval which is usually determined by trial and error. As yet there is not any algorithm for determining an appropriate interval, although there are some recipes for optimal values. In this paper, a novel algorithm for determining an interval is proposed. Different variable shape parameter strategies are examined. The results show that the determined interval significantly improved the accuracy and is suitable enough to count on in variable shape parameter strategies.<\/jats:p>","DOI":"10.1155\/2016\/1397849","type":"journal-article","created":{"date-parts":[[2016,8,19]],"date-time":"2016-08-19T06:04:10Z","timestamp":1471586650000},"page":"1-11","source":"Crossref","is-referenced-by-count":11,"title":["Selection of an Interval for Variable Shape Parameter in Approximation by Radial Basis Functions"],"prefix":"10.1155","volume":"2016","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8026-2999","authenticated-orcid":true,"given":"Jafar","family":"Biazar","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 41335-1914, Rasht 41938 22697, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9717-4669","authenticated-orcid":true,"given":"Mohammad","family":"Hosami","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 41335-1914, Rasht 41938 22697, Iran"}]}],"member":"311","reference":[{"volume":"6","year":"2007","key":"1"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2008.09.006"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.enganabound.2009.04.008"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.enganabound.2012.07.010"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.enganabound.2014.09.003"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/0898-1221(91)90123-L"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1023\/a:1018975909870"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2011.06.005"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.enganabound.2011.07.008"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-007-9072-8"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2003.08.010"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.enganabound.2006.11.011"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1002\/num.20453"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.enganabound.2010.03.003"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2013.05.060"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/0898-1221(92)90174-g"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2007.01.028"},{"key":"18","first-page":"382","volume":"4","year":"2013","journal-title":"International Journal of Numerical Analysis and Modeling, Series B"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.enganabound.2009.07.003"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2011.07.076"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/s0898-1221(00)00071-7"}],"container-title":["Advances in Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/2016\/1397849.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2016\/1397849.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2016\/1397849.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,12,8]],"date-time":"2020-12-08T21:00:18Z","timestamp":1607461218000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/ana\/2016\/1397849\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,8,18]]},"references-count":21,"alternative-id":["1397849","1397849"],"URL":"https:\/\/doi.org\/10.1155\/2016\/1397849","relation":{},"ISSN":["1687-9562","1687-9570"],"issn-type":[{"type":"print","value":"1687-9562"},{"type":"electronic","value":"1687-9570"}],"subject":[],"published":{"date-parts":[[2016,8,18]]}}}