Parallel extrapolation methods and their application in chemical engineering:

Abstract: "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...

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Bibliographic Details
Main Authors: Nowak, Ulrich (Author), Ehrig, Rainald (Author), Oeverdieck, Lars (Author)
Format: Book
Language:English
Published: Berlin Konrad-Zuse-Zentrum für Informationstechnik 1997
Series:Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin 1997,69
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Summary:Abstract: "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 decomposition together with a polynomial block Neumann preconditioner. Through the explicit computation of the matrix products of the preconditioner 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 processors on a Cray T3E. Preliminary results for computations on a workstation cluster are reported."
Physical Description:10 S.

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