The conditioning of some numerical methods for first kind boundary integral equations

Søren Christiansen, Jukka Saranen

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    We consider the sensitivity of the matrix equations which arise when solving boundary integral equations of negative order, specifically in case of the typical example of the operator with logarithmic kernel. The sensitivity is expressed using condition numbers and it turns out that the local condition number is a very good indicator, in contrast to the ordinary condition number, traditionally used.
    Original languageEnglish
    JournalJournal of Computational and Applied Mathematics
    Volume67
    Issue number1
    Pages (from-to)43-58
    ISSN0377-0427
    DOIs
    Publication statusPublished - 1996

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