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		<identifier>oai:zbc.uz.zgora.pl:86176</identifier>
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<dc:title xml:lang="pl"><![CDATA[Stabilized model reduction for nonlinear dynamical systems through a contractivity-preserving framework]]></dc:title>
<dc:creator><![CDATA[Chaturantabut, Saifon]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[model order reduction]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[contractivity]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[ordinary differential equations]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[partial differential equations]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[proper orthogonal decomposition]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[discrete empirical interpolation method]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[This work develops a technique for constructing a reduced-order system that not only has low computational complexity, but also maintains the stability of the original nonlinear dynamical system. The proposed framework is designed to preserve the contractivity of the vector field in the original system, which can further guarantee stability preservation, as well as provide an error bound for the approximated equilibrium solution of the resulting reduced system.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[This technique employs a low-dimensional basis from proper orthogonal decomposition to optimally capture the dominant dynamics of the original system, and modifies the discrete empirical interpolation method by enforcing certain structure for the nonlinear approximation. The efficiency and accuracy of the proposed method are illustrated through numerical tests on a nonlinear reaction diffusion problem.]]></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[2020]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/86176/AMCS_2020_30_4_1.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/101254/edition/86176/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:86176]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 30, number 4 (2020)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=118]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:101254]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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