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  <doc>
    <id>705</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
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    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2002-11-12</completedDate>
    <publishedDate>2002-11-12</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Sensitivity analysis of linearly-implicit differential-algebraic systems by one-step extrapolation</title>
    <abstract language="eng">In this work we present an approach for the sensitivity analysis of linearly-implicit differential-algebraic equation systems. Solutions for both, states and sensitivities are obtained by applying an extrapolated linearly implicit Euler discretization scheme. This approach is compared to the widely used sensitivity extensions of multi-step BDF methods by means of case studies. Especially, we point out the benefit of this method in the context of dynamic optimization using the sequential approach.</abstract>
    <identifier type="serial">02-38</identifier>
    <identifier type="opus3-id">706</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-7052</identifier>
    <enrichment key="SourceTitle">Appeared in: Applied Numerical Mathematics 48 (2004) 83-102</enrichment>
    <author>Martin Schlegel</author>
    <author>Wolfgang Marquardt</author>
    <author>Rainald Ehrig</author>
    <author>Ulrich Nowak</author>
    <series>
      <title>ZIB-Report</title>
      <number>02-38</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>sensitivity evaluation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>differential-algebraic systems</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>extrapolation methods</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>dynamic optimization</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>optimal control</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="65L06">Multistep, Runge-Kutta and extrapolation methods</collection>
    <collection role="msc" number="65L80">Methods for differential-algebraic equations</collection>
    <collection role="msc" number="90C31">Sensitivity, stability, parametric optimization</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="ehrig">Ehrig, Rainald</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/705/ZR-02-38.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/705/ZR-02-38.pdf</file>
  </doc>
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