<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0120-419X</journal-id>
<journal-title><![CDATA[Revista Integración]]></journal-title>
<abbrev-journal-title><![CDATA[Integración - UIS]]></abbrev-journal-title>
<issn>0120-419X</issn>
<publisher>
<publisher-name><![CDATA[Universidad Industrial de Santander]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-419X2019000200199</article-id>
<article-id pub-id-type="doi">10.18273/revint.v37n2-2019001</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Análisis de Von Neumann para el método Local Discontinuous Galerkin en 1D]]></article-title>
<article-title xml:lang="en"><![CDATA[Von Neumann analysis for the Local Discontinuous Galerkin method in 1D]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Castillo]]></surname>
<given-names><![CDATA[Paul]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Gómez]]></surname>
<given-names><![CDATA[Sergio]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de Puerto Rico Departamento de Ciencias Matemáticas ]]></institution>
<addr-line><![CDATA[Mayagüez ]]></addr-line>
<country>Puerto Rico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Nacional Autónoma de Honduras  ]]></institution>
<addr-line><![CDATA[Tegucigalpa ]]></addr-line>
<country>Honduras</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2019</year>
</pub-date>
<volume>37</volume>
<numero>2</numero>
<fpage>199</fpage>
<lpage>217</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-419X2019000200199&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-419X2019000200199&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-419X2019000200199&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Utilizando el análisis de von Neumann como herramienta teórica, se desarrolla un análisis sobre las condiciones de estabilidad de algunos métodos explícitos de avance en tiempo, en combinación con la discretización espacial Local Discontinuous Galerkin (LDG) por sus siglas en inglés y aproximaciones de alto orden. La constante de estabilidad CFL (Courant-Friedrichs-Lewy) se estudia en función de los parámetros del método LDG y el grado de aproximación. Se realiza una serie de experimentos numéricos para validar los resultados teóricos. MSC2010: 65M12, 65M20, 65M60.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract Using the von Neumann analysis as a theoretical tool, an analysis of the stability conditions of some explicit time marching schemes, in combination with the spatial discretization Local Discontinuous Galerkin (LDG) and high order approximations, is presented. The stability constant, CFL (Courant-Friedrichs-Lewy), is studied as a function of the LDG parameters and the approximation degree. A series of numerical experiments is carried out to validate the theoretical results.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[análisis de estabilidad de Von Neumann]]></kwd>
<kwd lng="es"><![CDATA[CFL]]></kwd>
<kwd lng="es"><![CDATA[Local Discontinuous Galerkin (LDG)]]></kwd>
<kwd lng="en"><![CDATA[Von Neumann stability analysis]]></kwd>
<kwd lng="en"><![CDATA[CFL]]></kwd>
<kwd lng="en"><![CDATA[Local Discontinuous Galerkin (LDG)]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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