Výsledky vyhledávání - "[INFO.INFO-NA] Computer Science [cs]/Numerical Analysis [cs.NA]"

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  1. 1

    Improved Error Bounds for Inner Products in Floating-Point Arithmetic Autor Jeannerod, Claude-Pierre, Rump, Siegfried M.

    ISSN: 0895-4798, 1095-7162
    Vydáno: Philadelphia Society for Industrial and Applied Mathematics 01.01.2013
    “…Given two floating-point vectors $x,y$ of dimension $n$ and assuming rounding to nearest, we show that if no underflow or overflow occurs, any evaluation order…”
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  2. 2

    Improved Backward Error Bounds for LU and Cholesky Factorizations Autor Rump, Siegfried M., Jeannerod, Claude-Pierre

    ISSN: 0895-4798, 1095-7162
    Vydáno: Philadelphia Society for Industrial and Applied Mathematics 01.01.2014
    “…Assuming standard floating-point arithmetic (in base $\beta$, precision $p$) and barring underflow and overflow, classical rounding error analysis of the LU or…”
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  3. 3

    Shape and topology optimization based on the convected level set method Autor Yaji, Kentaro, Otomori, Masaki, Yamada, Takayuki, Izui, Kazuhiro, Nishiwaki, Shinji, Pironneau, Olivier

    ISSN: 1615-147X, 1615-1488
    Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2016
    “…The aim of this research is to construct a shape optimization method based on the convected level set method, in which the level set function is defined as a…”
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  5. 5

    Improved error bounds for floating-point products and Horner’s scheme Autor Florian Bünger, Siegfried M. Rump, Claude-Pierre Jeannerod

    ISSN: 0006-3835, 1572-9125
    Vydáno: Springer Science and Business Media LLC 24.03.2015
    Vydáno v BIT Numerical Mathematics (24.03.2015)
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