Constructing PDFs of spatially dependent fields using finite elements

Fuente: arXiv
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Autori principali: Mannix, Paul M., Ham, David A., Craske, John
Natura: Preprint
Pubblicazione: 2025
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author Mannix, Paul M.
Ham, David A.
Craske, John
author_facet Mannix, Paul M.
Ham, David A.
Craske, John
contents A probability density function (PDF) of a spatially dependent field provides a means of calculating moments of the field or, equivalently, the proportion of a spatial domain that is mapped to a given set of values. This paper describes a finite element approach to estimating the PDF of a spatially dependent field and its numerical implementation in the Python package NumDF.
format Preprint
id arxiv_https___arxiv_org_abs_2501_05115
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Constructing PDFs of spatially dependent fields using finite elements
Mannix, Paul M.
Ham, David A.
Craske, John
Fluid Dynamics
Numerical Analysis
A probability density function (PDF) of a spatially dependent field provides a means of calculating moments of the field or, equivalently, the proportion of a spatial domain that is mapped to a given set of values. This paper describes a finite element approach to estimating the PDF of a spatially dependent field and its numerical implementation in the Python package NumDF.
title Constructing PDFs of spatially dependent fields using finite elements
topic Fluid Dynamics
Numerical Analysis
url https://arxiv.org/abs/2501.05115