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  <titleInfo>
    <title>NUMERICAL METHOD OF LINES AND DUALITY PRINCIPLES APPLIED TO MODELS IN PHYSICS AND ENGINEERING</title>
  </titleInfo>
  <name type="personal">
    <namePart>Botelho, Fabio Silva.</namePart>
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    <place>
      <placeTerm type="text">BOCA RATON</placeTerm>
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    <publisher>CRC PRESS</publisher>
    <dateIssued>2024</dateIssued>
    <issuance>monographic</issuance>
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  <language>
    <languageTerm authority="iso639-2b" type="code">eng</languageTerm>
  </language>
  <physicalDescription>
    <form authority="gmd">electronic resource</form>
    <extent>1 online resource</extent>
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  <abstract>The book includes theoretical and applied results of a generalization of the numerical method of lines. A Ginzburg-Landau type equation comprises the initial application, with detailed explanations about the establishment of the general line expressions. Approximate numerical procedures have been developed for a variety of equation types, including the related algorithms and software. The applications include the Ginzburg-Landau system in superconductivity, applications to the Navier-Stokes system in fluid mechanics and, among others, models in flight mechanics. In its second and final parts, the book develops duality principles and numerical results for other similar and related models. The book is meant for applied mathematicians, physicists and engineers interested in numerical methods and concerning duality theory. It is expected the text will serve as a valuable auxiliary project tool for some important engineering and physics fields of research.</abstract>
  <subject authority="lcsh">
    <topic>Duality theory (Mathematics)</topic>
  </subject>
  <subject authority="lcsh">
    <topic>Differential equations, Partial</topic>
    <topic>Numerical solutions</topic>
  </subject>
  <subject authority="lcsh">
    <topic>Physics</topic>
    <topic>Mathematical models</topic>
  </subject>
  <subject authority="lcsh">
    <topic>Engineering</topic>
    <topic>Mathematical models</topic>
  </subject>
  <subject authority="bisacsh">
    <topic>MATHEMATICS / Applied</topic>
  </subject>
  <subject authority="bisacsh">
    <topic>SCIENCE / Mechanics / General</topic>
  </subject>
  <classification authority="lcc">QA377</classification>
  <identifier type="isbn">1003848427</identifier>
  <identifier type="isbn">9781003848424</identifier>
  <identifier type="isbn">9781003258131</identifier>
  <identifier type="isbn">1003258131</identifier>
  <identifier type="isbn">9781003848479</identifier>
  <identifier type="isbn">1003848478</identifier>
  <identifier type="uri">https://www.taylorfrancis.com/books/9781003258131</identifier>
  <identifier type="uri">http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf</identifier>
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    <url displayLabel="Taylor &amp; Francis">https://www.taylorfrancis.com/books/9781003258131</url>
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