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Finite difference methods for the numerical differentiation of non-exact data - MaRDI portal

Finite difference methods for the numerical differentiation of non-exact data (Q792733)

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scientific article; zbMATH DE number 3854292
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Finite difference methods for the numerical differentiation of non-exact data
scientific article; zbMATH DE number 3854292

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    Finite difference methods for the numerical differentiation of non-exact data (English)
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    1984
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    We derive results about the numerical performance of multi-point (moving average) finite difference formulas for the differentiation of non-exact data. In particular, we show that multi-point differentiators can be constructed which are asymptotically unbiased and have a bounded amplification factor as the steplength decreases and the number of points increases.
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    finite difference methods
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    regularization
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    Wiener filtering
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    minimum variance
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    amplification factor
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    non-exact data
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    multi-point differentiators
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