<?xml version="1.0" encoding="utf-8"?>
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  <doc>
    <id>275</id>
    <completedYear/>
    <publishedYear>2015</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>46</pageFirst>
    <pageLast>49</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>conferenceobject</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>1</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Numerical Solution of Systems of Ordinary Differential Equations Computed in Arbitrary Precision, based on the Method of Lie Series</title>
    <abstract language="eng">For the investigation of high frequency electromagnetic waves scattered at metallic bodies it is necessary to use algorithms with high accuracy. Moreover, ordinary differential equation systems play an important role in this context. Thus, the authors present an ODE-Solver based on the method of Lie Series. &#13;
The algorithm is computing in arbitrary precision. An adaptive step width control enables improvement in computation time and precision. Furthermore, the authors show tests of one classical ODE-Problem plus geodesics on an ellipsoid.</abstract>
    <parentTitle language="eng">Papers of 33rd International Scientific Conference "Science in Practice"</parentTitle>
    <identifier type="urn">urn:nbn:de:bvb:863-opus-2756</identifier>
    <licence>Creative Commons - Namensnennung-Keine kommerzielle Nutzung-Weitergabe unter gleichen Bedingungen</licence>
    <author>Timo Zellmer</author>
    <author>Rolf Poddig</author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>High Frequency Electromagnetic Waves</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Ordinary Differential Equations Solver</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Lie Series</value>
    </subject>
    <collection role="institutes" number="fe">Fakultät Elektrotechnik</collection>
    <collection role="Regensburger_Klassifikation" number="SA - SP">Mathematik</collection>
    <collection role="Regensburger_Klassifikation" number="ZG - ZS">Technik</collection>
    <thesisPublisher>Hochschule für Angewandte Wissenschaften Würzburg-Schweinfurt</thesisPublisher>
    <file>https://opus4.kobv.de/opus4-fhws/files/275/Zellmer_Numerical_Solution_Systems_of_Ordinary_Differential_Equations.pdf</file>
  </doc>
</export-example>
