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	<id>https://wikincat.org/w/index.php?action=history&amp;feed=atom&amp;title=B000229</id>
	<title>B000229 - Histórico de revisão</title>
	<link rel="self" type="application/atom+xml" href="https://wikincat.org/w/index.php?action=history&amp;feed=atom&amp;title=B000229"/>
	<link rel="alternate" type="text/html" href="https://wikincat.org/w/index.php?title=B000229&amp;action=history"/>
	<updated>2026-05-28T20:51:25Z</updated>
	<subtitle>Histórico de revisões para esta página neste wiki</subtitle>
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	<entry>
		<id>https://wikincat.org/w/index.php?title=B000229&amp;diff=5960&amp;oldid=prev</id>
		<title>Jaider.ferreira: Substituição de texto - &quot;festschrift= &quot; por &quot;festschrift=0&quot;</title>
		<link rel="alternate" type="text/html" href="https://wikincat.org/w/index.php?title=B000229&amp;diff=5960&amp;oldid=prev"/>
		<updated>2026-05-25T14:26:46Z</updated>

		<summary type="html">&lt;p&gt;Substituição de texto - &amp;quot;festschrift= &amp;quot; por &amp;quot;festschrift=0&amp;quot;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Edição anterior&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Edição das 11h26min de 25 de maio de 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Linha 17:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Linha 17:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|governmentPublication= &lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|governmentPublication= &lt;/div&gt;&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|festschrift=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;0&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|index= &lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|index= &lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|literaryForm= &lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|literaryForm= &lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jaider.ferreira</name></author>
	</entry>
	<entry>
		<id>https://wikincat.org/w/index.php?title=B000229&amp;diff=5258&amp;oldid=prev</id>
		<title>Beatriz.borges em 17h30min de 11 de novembro de 2024</title>
		<link rel="alternate" type="text/html" href="https://wikincat.org/w/index.php?title=B000229&amp;diff=5258&amp;oldid=prev"/>
		<updated>2024-11-11T17:30:31Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Edição anterior&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Edição das 14h30min de 11 de novembro de 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Linha 50:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Linha 50:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|authorityType=Nenhuma&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|authorityType=Nenhuma&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|ind1=1&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|ind1=1&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|ind2=&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;#&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|ind2=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;0&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|data=$a Problema inverso da equação do calor com condição de contorno de Wentzell-Neumann $h [recurso eletrônico] / $c Mairon Carliel Pontarolo ; orientador, Luciano Bedin&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|data=$a Problema inverso da equação do calor com condição de contorno de Wentzell-Neumann $h [recurso eletrônico] / $c Mairon Carliel Pontarolo ; orientador, Luciano Bedin&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Linha 101:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Linha 101:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|ind2=#&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|ind2=#&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|data=$a Abstract: In this work, a study is conducted on the inverse problem of the heat equation with nonlocal Wentzell-Neumann boundary condition, from an integral overdetermination condition modeled as an energy function. The problem is approached from two aspects: theoretical/analytical and numerical/computational. In the first approach, sufficient conditions for the existence and uniqueness of the solution to both direct and inverse problems are established, resulting in two main theorems. In the second approach, a numerical model is introduced for the approximation of the source term, based on the semidiscretization of the continuous model and the midpoint method applied to the resulting initial value problem. To address the ill -conditioned problem and noisy data, the regularization method employed relies on the generalized singular value decomposition of a proper matrix pair. Regularization is performed through truncation, with the truncation parameter determined by the discrepancy principle. Finally, numerical examples are presented to illustrate the efficiency of the introduced numerical method.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|data=$a Abstract: In this work, a study is conducted on the inverse problem of the heat equation with nonlocal Wentzell-Neumann boundary condition, from an integral overdetermination condition modeled as an energy function. The problem is approached from two aspects: theoretical/analytical and numerical/computational. In the first approach, sufficient conditions for the existence and uniqueness of the solution to both direct and inverse problems are established, resulting in two main theorems. In the second approach, a numerical model is introduced for the approximation of the source term, based on the semidiscretization of the continuous model and the midpoint method applied to the resulting initial value problem. To address the ill -conditioned problem and noisy data, the regularization method employed relies on the generalized singular value decomposition of a proper matrix pair. Regularization is performed through truncation, with the truncation parameter determined by the discrepancy principle. Finally, numerical examples are presented to illustrate the efficiency of the introduced numerical method.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Field&lt;/div&gt;&lt;/td&gt;
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&lt;tr&gt;
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  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|tag=600&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|authorityType=Pessoa&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|ind1=1&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|ind2=4&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|authorityData100=$a Wentzell-Neumann&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Field&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Field&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
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  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Linha 128:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Linha 121:&lt;/td&gt;
&lt;/tr&gt;
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  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|ind1=0&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|ind1=0&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|ind2=4&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
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&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|authorityData150=$a Condição de contorno&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|authorityData150=$a Condição de contorno&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; Wentzell-Neumann&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Field&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
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&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Beatriz.borges</name></author>
	</entry>
	<entry>
		<id>https://wikincat.org/w/index.php?title=B000229&amp;diff=5257&amp;oldid=prev</id>
		<title>Beatriz.borges: Criou página com &#039;{{BibRecord |dateEnteredOnFile=241111 |itemType=04 |recordStatus=n |typeOfRecord=t |bibliographicLevel=m |encodingLevel=  |descriptiveCatalogingForm=a |multipartResourceRecordLevel=  |typeOfDate=s |date1=2024 |placeOfPublication=scb |illustrations=a |targetAudience=g |formOfItem=  |natureOfContents=m |governmentPublication=  |conferencePublication=  |festschrift=  |index=  |literaryForm=  |biography=  |language=por |modifiedRecord=  |catalogingSource=d }} {{Fie...&#039;</title>
		<link rel="alternate" type="text/html" href="https://wikincat.org/w/index.php?title=B000229&amp;diff=5257&amp;oldid=prev"/>
		<updated>2024-11-11T17:28:58Z</updated>

		<summary type="html">&lt;p&gt;Criou página com &amp;#039;{{BibRecord |dateEnteredOnFile=241111 |itemType=04 |recordStatus=n |typeOfRecord=t |bibliographicLevel=m |encodingLevel=  |descriptiveCatalogingForm=a |multipartResourceRecordLevel=  |typeOfDate=s |date1=2024 |placeOfPublication=scb |illustrations=a |targetAudience=g |formOfItem=  |natureOfContents=m |governmentPublication=  |conferencePublication=  |festschrift=  |index=  |literaryForm=  |biography=  |language=por |modifiedRecord=  |catalogingSource=d }} {{Fie...&amp;#039;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Página nova&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{BibRecord&lt;br /&gt;
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|data=$a Problema inverso da equação do calor com condição de contorno de Wentzell-Neumann $h [recurso eletrônico] / $c Mairon Carliel Pontarolo ; orientador, Luciano Bedin&lt;br /&gt;
}}&lt;br /&gt;
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|data=$a Disponível somente em versão on-line.&lt;br /&gt;
}}&lt;br /&gt;
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|tag=502&lt;br /&gt;
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|data=$a Dissertação (mestrado) – Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Programa de Pós-Graduação em Matemática Pura e Aplicada, Florianópolis, 2024.&lt;br /&gt;
}}&lt;br /&gt;
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|data=$a Inclui referências.&lt;br /&gt;
}}&lt;br /&gt;
{{Field&lt;br /&gt;
|tag=520&lt;br /&gt;
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|data=$a Neste trabalho, é realizado um estudo sobre o problema inverso da equação do calor com condição de contorno de Wentzell-Neumann não local, a partir de uma condição de sobredeterminação integral modelada como uma função energia. O problema é abordado sob dois aspectos: teóricos/analíticos e numéricos/computacionais. Na primeira abordagem são estabelecidas condições suficientes para a existência e unicidade de solução para o problema direto e inverso, resultando em dois principais teoremas. Na segunda abordagem, introduz-se um modelo numérico para a aproximação do termo fonte, a partir da semidiscretização do modelo contínuo e o método do ponto médio aplicado ao problema de valor inicial originado. Para lidar com o problema mal condicionado de dados com ruídos, o método de regularização utilizado se ampara na decomposição em valores singulares generalizada de um par de matrizes adequadas. A regularização é feita por truncamento, sendo o parâmetro de truncamento determinado pelo princípio da discrepância. Por fim, são apresentados exemplos numéricos para ilustrar a eficiência do método numérico introduzido.&lt;br /&gt;
}}&lt;br /&gt;
{{Field&lt;br /&gt;
|tag=520&lt;br /&gt;
|authorityType=Nenhuma&lt;br /&gt;
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|data=$a Abstract: In this work, a study is conducted on the inverse problem of the heat equation with nonlocal Wentzell-Neumann boundary condition, from an integral overdetermination condition modeled as an energy function. The problem is approached from two aspects: theoretical/analytical and numerical/computational. In the first approach, sufficient conditions for the existence and uniqueness of the solution to both direct and inverse problems are established, resulting in two main theorems. In the second approach, a numerical model is introduced for the approximation of the source term, based on the semidiscretization of the continuous model and the midpoint method applied to the resulting initial value problem. To address the ill -conditioned problem and noisy data, the regularization method employed relies on the generalized singular value decomposition of a proper matrix pair. Regularization is performed through truncation, with the truncation parameter determined by the discrepancy principle. Finally, numerical examples are presented to illustrate the efficiency of the introduced numerical method.&lt;br /&gt;
}}&lt;br /&gt;
{{Field&lt;br /&gt;
|tag=600&lt;br /&gt;
|authorityType=Pessoa&lt;br /&gt;
|ind1=1&lt;br /&gt;
|ind2=4&lt;br /&gt;
|authorityData100=$a Wentzell-Neumann&lt;br /&gt;
}}&lt;br /&gt;
{{Field&lt;br /&gt;
|tag=650&lt;br /&gt;
|authorityType=Tópico&lt;br /&gt;
|ind1=0&lt;br /&gt;
|ind2=4&lt;br /&gt;
|authorityData150=$a Matemática pura e aplicada&lt;br /&gt;
}}&lt;br /&gt;
{{Field&lt;br /&gt;
|tag=650&lt;br /&gt;
|authorityType=Tópico&lt;br /&gt;
|ind1=0&lt;br /&gt;
|ind2=4&lt;br /&gt;
|authorityData150=$a Equação de calor $0 (BN)000054126&lt;br /&gt;
}}&lt;br /&gt;
{{Field&lt;br /&gt;
|tag=650&lt;br /&gt;
|authorityType=Tópico&lt;br /&gt;
|ind1=0&lt;br /&gt;
|ind2=4&lt;br /&gt;
|authorityData150=$a Condição de contorno&lt;br /&gt;
}}&lt;br /&gt;
{{Field&lt;br /&gt;
|tag=700&lt;br /&gt;
|authorityType=Pessoa&lt;br /&gt;
|ind1=1&lt;br /&gt;
|ind2=#&lt;br /&gt;
|authorityData100=$a Bedin, Luciano, $e orientador&lt;br /&gt;
}}&lt;br /&gt;
{{Field&lt;br /&gt;
|tag=710&lt;br /&gt;
|authorityType=Entidade coletiva&lt;br /&gt;
|ind1=1&lt;br /&gt;
|ind2=#&lt;br /&gt;
|authorityData110=$a Universidade Federal de Santa Catarina. $b Programa de Pós-Graduação em Matemática Pura e Aplicada&lt;br /&gt;
}}&lt;br /&gt;
{{Field&lt;br /&gt;
|tag=856&lt;br /&gt;
|authorityType=Nenhuma&lt;br /&gt;
|ind1=4&lt;br /&gt;
|ind2=0&lt;br /&gt;
|data=$z Versão integral em pdf $u https://bu.ufsc.br/teses/PMTM0317-D.pdf&lt;br /&gt;
}}&lt;br /&gt;
{{EndOfRecord}}&lt;/div&gt;</summary>
		<author><name>Beatriz.borges</name></author>
	</entry>
</feed>