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    <id>2128</id>
    <completedYear>1999</completedYear>
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    <language>eng</language>
    <pageFirst>233</pageFirst>
    <pageLast>244</pageLast>
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    <volume>8</volume>
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    <publisherName>Springer Verlag</publisherName>
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    <belongsToBibliography>0</belongsToBibliography>
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    <title language="eng">Advanced Extrapolation Methods for Large Scale Differential Algebraic Problems</title>
    <parentTitle language="eng">High Performance Scientific and Engineering Computing</parentTitle>
    <enrichment key="Series">Lecture Notes in Computational Science and Engineering</enrichment>
    <author>Rainald Ehrig</author>
    <editor>F. H.-J. Bungartz</editor>
    <author>Ulrich Nowak</author>
    <author>Lars Oeverdieck</author>
    <author>Peter Deuflhard</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
    <collection role="persons" number="ehrig">Ehrig, Rainald</collection>
  </doc>
  <doc>
    <id>2292</id>
    <completedYear>1998</completedYear>
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    <language>eng</language>
    <pageFirst>419</pageFirst>
    <pageLast>428</pageLast>
    <pageNumber/>
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    <issue/>
    <volume>1401</volume>
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    <publisherName>Springer</publisherName>
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    <title language="eng">Parallel Extrapolation Methods and Their Application in Chemical Engineering</title>
    <parentTitle language="eng">High-Performance Computing and Networking</parentTitle>
    <enrichment key="Series">Lecture Notes in Computer Science</enrichment>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-3387</enrichment>
    <author>Ulrich Nowak</author>
    <editor>P. Sloot</editor>
    <author>Rainald Ehrig</author>
    <editor>Marian Bubak</editor>
    <author>Lars Oeverdieck</author>
    <editor>B. Hertzberger</editor>
    <collection role="persons" number="ehrig">Ehrig, Rainald</collection>
  </doc>
  <doc>
    <id>338</id>
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    <language>eng</language>
    <pageFirst/>
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    <pageNumber/>
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    <completedDate>1997-12-19</completedDate>
    <publishedDate>1997-12-19</publishedDate>
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    <title language="eng">Parallel Extrapolation Methods and Their Application in Chemical Engineering</title>
    <abstract language="eng">We study the parallelization of linearly--implicit extrapolation methods for the solution of large scale systems of differential algebraic equations arising in a method of lines (MOL ) treatment of partial differential equations. In our approach we combine a slightly overlapping domain decomposi tion together with a polynomial block Neumann preconditioner. Through the explicit computation of the matrix products of the pre conditioner and the system matrix a significant gain in overall efficiency is achieved for medium--sized problems. The parallel algorithm exhibits a good scalability up to 32 proces sors on a Cray T3E. Preliminary results for computations on a workstation cluster are reported.</abstract>
    <identifier type="serial">SC-97-69</identifier>
    <identifier type="opus3-id">339</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-3387</identifier>
    <enrichment key="SourceTitle">Appeared in: High-Performance Computing and networking. Lecture Notes in Computer Science 1401, P. Sloot, M. Bubak, B. Hertzberger eds., 1998, 419-428</enrichment>
    <author>Ulrich Nowak</author>
    <author>Rainald Ehrig</author>
    <author>Lars Oeverdieck</author>
    <series>
      <title>ZIB-Report</title>
      <number>SC-97-69</number>
    </series>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="ehrig">Ehrig, Rainald</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/338/SC-97-69.ps</file>
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