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    <id>478</id>
    <completedYear/>
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    <language>eng</language>
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    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
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    <completedDate>1991-02-04</completedDate>
    <publishedDate>1991-02-04</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">On the Limits of Operator Splitting: Numerical Experiments for the Complex Burgers Equation.</title>
    <abstract language="eng">A high resolution Godunov-type method is developed and applied to a two-dimensional version of the Burgers equation. On one-dimensional testproblems the scheme is second order accurate for smooth flow and resolves discontinuities sharply. On two-dimensional problems, however, large numerical oscillations are introduced when discontinuities traveling obliquely to the grid directions are present. These oscillations are caused by a Strang- type operator splitting, and cannot be eliminated using flux limiters or small timesteps. {\bf Keywords:} High resolution methods, Godunovs method, operator splitting, complex Burgers equation. {\bf AMS:} 35: A40, L45, L60, L65, L, 67. 65: M05, M10.</abstract>
    <identifier type="serial">TR-91-03</identifier>
    <identifier type="opus3-id">478</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-4789</identifier>
    <author>Sebastian W. C. Noelle</author>
    <series>
      <title>ZIB-Report</title>
      <number>TR-91-03</number>
    </series>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/478/TR-91-03.pdf</file>
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