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<dc:title xml:lang="pl"><![CDATA[Solving parabolic equations by using the method of fast convergent iterations]]></dc:title>
<dc:creator><![CDATA[Bondarenko, Victor]]></dc:creator>
<dc:creator><![CDATA[Bidyuk, Petro]]></dc:creator>
<dc:creator><![CDATA[Bernatska, Julia]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[parabolic equations]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[fundamental solution]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Riemannian manifold]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[rate of convergence]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[iteration technique]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[numerical simulation]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[The paper describes an approach to solving parabolic partial differential equations that generalizes the well-known parametrix method. The iteration technique proposed exhibits faster convergence than the classical parametrix approach. A solution is constructed on a manifold with the application of the Laplace-Beltrami operator. A theorem is formulated and proved to provide a basis for finding a unique solution. Simulation results illustrate the superiority of the proposed approach in comparison with the classical parametrix method.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Korbicz, Józef (1951- ) - red.]]></dc:contributor>
<dc:contributor><![CDATA[Uciński, Dariusz - red.]]></dc:contributor>
<dc:date><![CDATA[2000]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/58726/AMCS_2000_10_2_8.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/65503/edition/58726/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:58726]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 10, number 2 (2000)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=paper&paper=951]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:65503]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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