{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T22:10:21Z","timestamp":1680300621491},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"1","funder":[{"name":"Russian Foundation for Basic Research","award":["14-01-00785, 15-01-00026"],"award-info":[{"award-number":["14-01-00785, 15-01-00026"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016,1,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>An equation containing a fractional power of an elliptic operator of second order\nis studied for Dirichlet boundary conditions. Finite difference approximations in space are employed.\nThe proposed numerical algorithm is based on solving an auxiliary\nCauchy problem for a pseudo-parabolic equation. Unconditionally stable\nvector-additive schemes (splitting schemes) are constructed. Numerical results\nfor a model problem in a rectangle calculated using the splitting with respect to\nspatial variables are presented.<\/jats:p>","DOI":"10.1515\/cmam-2015-0031","type":"journal-article","created":{"date-parts":[[2015,11,11]],"date-time":"2015-11-11T13:53:57Z","timestamp":1447250037000},"page":"161-174","source":"Crossref","is-referenced-by-count":1,"title":["A Splitting Scheme to Solve an Equation for Fractional Powers of Elliptic Operators"],"prefix":"10.1515","volume":"16","author":[{"given":"Petr N.","family":"Vabishchevich","sequence":"first","affiliation":[{"name":"Nuclear Safety Institute, Russian Academy of Sciences, B. Tulskaya 52, 115191 Moscow; and North-Eastern Federal University, Belinskogo 58, 677000 Yakutsk, Russia"}]}],"member":"374","published-online":{"date-parts":[[2015,11,11]]},"container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/16\/1\/article-p161.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2015-0031\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2015-0031\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T21:33:35Z","timestamp":1680298415000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2015-0031\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,11,11]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2016,1,1]]},"published-print":{"date-parts":[[2016,1,1]]}},"alternative-id":["10.1515\/cmam-2015-0031"],"URL":"https:\/\/doi.org\/10.1515\/cmam-2015-0031","relation":{},"ISSN":["1609-9389","1609-4840"],"issn-type":[{"value":"1609-9389","type":"electronic"},{"value":"1609-4840","type":"print"}],"subject":[],"published":{"date-parts":[[2015,11,11]]}}}