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 (Q1360429)
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scientific article; zbMATH DE number 1036511
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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 |
scientific article; zbMATH DE number 1036511 |
Statements
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 (English)
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31 August 1997
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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.
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advection-diffusion equation
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inverse problem
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maximum likelihood
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ocean heat diffusion
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finite difference
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oceanography
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