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- W2083676087 abstract "We construct matrix-valued covariance functions and in ℝ2 and ℝ3, starting from an arbitrary scalar-valued variogram. It is shown that sufficiently smooth random vector fields (RVFs) with these covariance functions have divergence-free and curl-free sample paths, respectively. Conversely, essentially all models with such sample paths can be obtained via our construction. Extensions to space-time RVFs are possible. RVFs with divergence-free and curl-free sample paths can be utilised in meteorological applications e.g. for modelling and interpolating wind fields." @default.
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- W2083676087 date "2012-07-01" @default.
- W2083676087 modified "2023-10-10" @default.
- W2083676087 title "Covariance Models for Divergence-Free and Curl-Free Random Vector Fields" @default.
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- W2083676087 doi "https://doi.org/10.1080/15326349.2012.699756" @default.
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