A new method for obtaining velocity and diffusivity from time-dependent distributions of a tracer via the maximum likelihood estimator for the advection-diffusion equation
type: Item
instance of: scholarly article
title: A new method for obtaining velocity and diffusivity from time-dependent distributions of a tracer via the maximum likelihood estimator for the advection-diffusion equation
zbMATH Open document ID: 0889.65101
author: A. G. Ostrovskii
author: Leonid I. Piterbarg
published in: Journal of Computational Physics
publication date: 1997-08-31T00:00:00Z
review text: For the two-dimensional advection-diffusion equation an inverse problem is considered, namely the estimation of the deterministic parameters velocity, diffusion and decay rate that correspond (best fit) with the time dependent distribution of a tracer. A maximum likelihood estimation method is developed and tested, a good performance being observed. It fares quite well when compared to a finite difference based estimation technique. An application to physical oceanography data, specifically upper ocean dynamics in North Pacific, is presented.
Mathematics Subject Classification ID: 65M30
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 65R30
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 1036511
zbMATH Keywords: advection-diffusion equation
zbMATH Keywords: inverse problem
zbMATH Keywords: maximum likelihood
zbMATH Keywords: ocean heat diffusion
zbMATH Keywords: finite difference
zbMATH Keywords: oceanography
MaRDI profile type: Publication
full work available at URL: jcph.1997.5674
OpenAlex ID: W2020888356
cites work: Q4040896
cites work: Q3664242
cites work: Q5690343
DOI: 10.1006/JCPH.1997.5674
description: scientific article; zbMATH DE number 1036511