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		<doi>10.5890/JAND.2018.09.006</doi>
		<issn>2164-6457</issn>
		<citationkey>LopesDomiMendSchn:2018:AdMuSc</citationkey>
		<title>An adaptive multiresolution scheme with second order local time-stepping for reaction-diffusion equations</title>
		<year>2018</year>
		<month>Sept.</month>
		<typeofwork>journal article</typeofwork>
		<secondarytype>PRE PI</secondarytype>
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		<author>Lopes, Müller Moreira Souza,</author>
		<author>Domingues, Margarete Oliveira,</author>
		<author>Mendes Júnior, Odim,</author>
		<author>Schneider, Kai,</author>
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		<group>CAP-COMP-SESPG-INPE-MCTIC-GOV-BR</group>
		<group>LABAC-COCTE-INPE-MCTIC-GOV-BR</group>
		<group>DIDGE-CGCEA-INPE-MCTIC-GOV-BR</group>
		<affiliation>Instituto Nacional de Pesquisas Espaciais (INPE)</affiliation>
		<affiliation>Instituto Nacional de Pesquisas Espaciais (INPE)</affiliation>
		<affiliation>Instituto Nacional de Pesquisas Espaciais (INPE)</affiliation>
		<affiliation>Institut de Mathèmatiques de Marseille</affiliation>
		<electronicmailaddress>muller.lopes@inpe.br</electronicmailaddress>
		<electronicmailaddress>margarete.domingues@inpe.br</electronicmailaddress>
		<electronicmailaddress>odim.mendes@inpe.br</electronicmailaddress>
		<journal>Journal of Applied Nonlinear Dynamics</journal>
		<volume>7</volume>
		<number>3</number>
		<pages>287-295</pages>
		<transferableflag>1</transferableflag>
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		<abstract>For adaptive multiresolution schemes we propose a local timestepping scheme based on natural extensions of RungeKutta methods. We consider reaction-diffusion equations in two space dimensions and assess the precision and efficiency of the new method. The obtained results are compared with those using classical finite volume schemes on a uniform grid and multiresolution schemes with global time stepping. It is shown that both CPU time and precision of the adaptive solutions are improved.</abstract>
		<area>COMP</area>
		<language>en</language>
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