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To construct approximation in time, standard two-level schemes are used.\nThe approximate solution at a new time-level is obtained as a solution of\na discrete problem with the fractional power of the elliptic operator.\nA Pad\u00e9-type approximation is constructed on the basis of special\nquadrature formulas for an integral representation of the fractional power elliptic operator\nusing explicit schemes. A similar approach is applied in the numerical implementation of implicit schemes.\nThe results of numerical experiments are presented for a test two-dimensional problem.<\/jats:p>","DOI":"10.1515\/cmam-2017-0028","type":"journal-article","created":{"date-parts":[[2017,8,21]],"date-time":"2017-08-21T13:47:33Z","timestamp":1503323253000},"page":"111-128","source":"Crossref","is-referenced-by-count":19,"title":["Numerical Solution of Time-Dependent Problems with Fractional Power Elliptic Operator"],"prefix":"10.1515","volume":"18","author":[{"given":"Petr N.","family":"Vabishchevich","sequence":"first","affiliation":[{"name":"Nuclear Safety Institute , Russian Academy of Sciences , 52, B. 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