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    Finite difference preconditioning for solving orthogonal collocation equations of boundary value problems

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    HuangW_SJoNA_33(6)2268.pdf (1.717Mb)
    Issue Date
    1996-12-01
    Author
    Sun, Weiwei
    Huang, Weizhang
    Russell, Robert D.
    Publisher
    Society for Industrial and Applied Mathematics
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
    Metadata
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    Abstract
    A technique to construct a low-order finite difference preconditioner for solving orthogonal collocation equations for boundary value problems is presented. It is shown numerically and theoretically that the spectral condition numbers of the preconditioned collocation matrices are bounded by constants independent of the number of mesh nodes when certain exact low-order finite difference preconditionings are used. Preconditioners based on incomplete LU factorization are also discussed. Numerical experiments show the efficiency and robustness of the preconditioning.
    Description
    This is the published version, also available here: http://dx.doi.org/10.1137/S0036142993249760.
    URI
    http://hdl.handle.net/1808/16882
    DOI
    https://doi.org/10.1137/S0036142993249760
    Collections
    • Mathematics Scholarly Works [282]
    Citation
    Sun, Weiwei., Huang, Weizhang., Russell, Robert D. "Finite difference preconditioning for solving orthogonal collocation equations of boundary value problems." SIAM J. Numer. Anal., 33(6), 2268–2285. (18 pages). http://dx.doi.org/10.1137/S0036142993249760.

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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