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		<identifier>oai:zbc.uz.zgora.pl:78807</identifier>
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<dc:title xml:lang="pl"><![CDATA[Fast convergence of the Coiflet-Galerkin method for general elliptic BVPs]]></dc:title>
<dc:creator><![CDATA[Akbari, Hani]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[general stationary elliptic BVPs]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Robin boundary condition]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[orthogonal Coifman wavelets]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[trivariate connection coefficients]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[fast convergence]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[We consider a general elliptic Robin boundary value problem. Using orthogonal Coifman wavelets (Coiflets) as basis functions in the Galerkin method, we prove that the rate of convergence of an approximate solution to the exact one is O(2?nN) in the H1 norm, where "n" is the level of approximation and "N" is the Coiflet degree. The Galerkin method needs to evaluate a lot of complicated integrals.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[We present a structured approach for fast and effective evaluation of these integrals via trivariate connection coefficients. Due to the fast convergence rate, very good approximations are found at low levels and with low Coiflet degrees, hence the size of corresponding linear systems is small. Numerical experiments confirm these claims.]]></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[2013]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/78807/AMCS_2013_23_1_2.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/88600/edition/78807/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:78807]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 23, number 1 (2013)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=52]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:88600]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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