{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,5,25]],"date-time":"2022-05-25T16:10:13Z","timestamp":1653495013354},"reference-count":14,"publisher":"Maria Curie-Sklodowska University","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010,1,1]]},"DOI":"10.2478\/v10065-010-0056-2","type":"journal-article","created":{"date-parts":[[2011,4,7]],"date-time":"2011-04-07T12:46:11Z","timestamp":1302180371000},"source":"Crossref","is-referenced-by-count":1,"title":["Difference schemes of arbitrary order of accuracy for semilinear parabolic equations"],"prefix":"10.17951","volume":"10","author":[{"given":"Magdalena","family":"Lapinska-Chrzczonowicz","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"7349","reference":[{"key":"1","doi-asserted-by":"crossref","first-page":"549","DOI":"10.4171\/ZAA\/548","article-title":"Exact difference schemes and difference schemes of arbitrary given degree of accuracy for generalized one-dimensional third boundary value problem","volume":"12","author":"I. Gavrilyuk","year":"1993","journal-title":"Z. Anal. Anwend"},{"issue":"10","key":"2","first-page":"64","article-title":"The Euler-MacLaurin formula of hight orders (in Russian)","volume":"16","author":"N. Kalitkin","year":"2004","journal-title":"Mathematical Modelling"},{"issue":"2","key":"3","first-page":"303","article-title":"Exact difference schemes for parabolic equations","volume":"5","author":"M. Lapinska-Chrzczonowicz","year":"2008","journal-title":"International Journal of Numerical Analysis and Modeling"},{"issue":"2","key":"4","doi-asserted-by":"crossref","first-page":"178","DOI":"10.2478\/cmam-2007-0010","article-title":"Exact difference schemes for multidimensional heat conduction equations","volume":"7","author":"M. Lapinska-Chrzczonowicz","year":"2007","journal-title":"Computational Methods In Applied Mathematics"},{"key":"5","first-page":"106","article-title":"Exact difference schemes and difference schemes of arbitrary order of approximation for multidimensional heat conduction equations","author":"M. Lapinska-Chrzczonowicz","year":"2007"},{"issue":"4","key":"6","doi-asserted-by":"crossref","first-page":"464","DOI":"10.2478\/cmam-2004-0026","article-title":"A two-point difference scheme of an arbitrary order of accuracy for BVPs for system of first order nonlinear ODEs","volume":"4","author":"V. Makarov","year":"2004","journal-title":"Computational Methods In Applied Mathematics"},{"issue":"4","key":"7","doi-asserted-by":"crossref","first-page":"422","DOI":"10.2478\/cmam-2005-0020","article-title":"Exact difference schemes for time-dependent problems","volume":"5","author":"P. Matus","year":"2005","journal-title":"Computational Methods In Applied Mathematics"},{"issue":"7","key":"8","first-page":"978","article-title":"On exact finite-difference schemes for hyperbolic and parabolic equations","volume":"43","author":"P. Matus","year":"2007","journal-title":"Differentsial'nye Uravneniya"},{"key":"9","doi-asserted-by":"crossref","DOI":"10.1142\/9789812813251","volume-title":"Applications of Nonstandard Finite Difference Schemes","author":"R. Mickens","year":"2000"},{"issue":"4","key":"10","doi-asserted-by":"crossref","first-page":"469","DOI":"10.3846\/1392-6292.2007.12.469-482","article-title":"High accuracy difference schemes for nonlinear transfer equation <i>\u2202u<\/i>\/<i>\u2202t<\/i> + <i>u \u2202u<\/i>\/<i>\u2202x<\/i> = <i>f<\/i>(<i>u<\/i>)","volume":"12","author":"A. Paradzinska","year":"2007","journal-title":"Mathematical Modelling and Analysis"},{"key":"11","doi-asserted-by":"crossref","DOI":"10.1201\/9780203908518","volume-title":"The Theory of Difference Schemes","author":"A. Samarskii","year":"2001"},{"key":"12","doi-asserted-by":"crossref","DOI":"10.1515\/9783110889864","volume-title":"Blow-up in Quasilinear Parabolic Equations","author":"A. Samarskii","year":"1995"},{"key":"13","volume-title":"Numerical Methods (in Russian)","author":"A. Smarskii","year":"1989"},{"key":"14","volume-title":"Introduction to Numerical Analysis (in Polish)","author":"J. Stoer","year":"1987"}],"container-title":["Annales UMCS, Informatica"],"original-title":[],"link":[{"URL":"https:\/\/journals.umcs.pl\/ai\/article\/download\/3288\/2482","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,25]],"date-time":"2022-05-25T15:47:39Z","timestamp":1653493659000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.umcs.pl\/ai\/article\/view\/3288"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1,1]]},"references-count":14,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.2478\/v10065-010-0056-2","relation":{},"ISSN":["2083-3628","1732-1360"],"issn-type":[{"value":"2083-3628","type":"electronic"},{"value":"1732-1360","type":"print"}],"subject":[],"published":{"date-parts":[[2010,1,1]]}}}