Numerical Schemes for the Estimation of Functional Parameters in Distributed Models for Mixing Mechanisms in Lake and Sea Sediment Cores.
We consider distributed parameter models for vertical mixing in lake and sea sediment cores. Finite dimensional approximation schemes are developed for the solution of associated inverse problems. The schemes permit one to estimate temporally and spatially varying functional parameters which appear...
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ftdtic:ADA167261 2023-05-15T17:29:08+02:00 Numerical Schemes for the Estimation of Functional Parameters in Distributed Models for Mixing Mechanisms in Lake and Sea Sediment Cores. Banks,H T Rosen,I G BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS 1985-10 text/html http://www.dtic.mil/docs/citations/ADA167261 http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA167261 en eng http://www.dtic.mil/docs/citations/ADA167261 APPROVED FOR PUBLIC RELEASE DTIC AND NTIS Physical and Dynamic Oceanography Hydrology Limnology and Potamology Numerical Mathematics *NUMERICAL ANALYSIS *MIXING *SEDIMENTS CORES MODELS DISTRIBUTION PARAMETERS DEPTH ESTIMATES BOUNDARIES VERTICAL ORIENTATION PARTIAL DIFFERENTIAL EQUATIONS CONVERGENCE INVERSION NORTH ATLANTIC OCEAN LAKES OCEAN BOTTOM VOLCANOES ASHES CORE SAMPLING Inverse problems PE61102F WUAFOSR2304A1 Text 1985 ftdtic 2016-02-21T01:48:25Z We consider distributed parameter models for vertical mixing in lake and sea sediment cores. Finite dimensional approximation schemes are developed for the solution of associated inverse problems. The schemes permit one to estimate temporally and spatially varying functional parameters which appear in the parabolic partial differential equations and boundary conditions constituting the models. Theoretical convergence results are established. Numerical findings are presented which demonstrate the potential of the methods. An example involving the identification of a depth dependent mixing parameter based upon volcanic ash data from the North Atlantic is included. Text North Atlantic Defense Technical Information Center: DTIC Technical Reports database |
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Open Polar |
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Defense Technical Information Center: DTIC Technical Reports database |
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ftdtic |
language |
English |
topic |
Physical and Dynamic Oceanography Hydrology Limnology and Potamology Numerical Mathematics *NUMERICAL ANALYSIS *MIXING *SEDIMENTS CORES MODELS DISTRIBUTION PARAMETERS DEPTH ESTIMATES BOUNDARIES VERTICAL ORIENTATION PARTIAL DIFFERENTIAL EQUATIONS CONVERGENCE INVERSION NORTH ATLANTIC OCEAN LAKES OCEAN BOTTOM VOLCANOES ASHES CORE SAMPLING Inverse problems PE61102F WUAFOSR2304A1 |
spellingShingle |
Physical and Dynamic Oceanography Hydrology Limnology and Potamology Numerical Mathematics *NUMERICAL ANALYSIS *MIXING *SEDIMENTS CORES MODELS DISTRIBUTION PARAMETERS DEPTH ESTIMATES BOUNDARIES VERTICAL ORIENTATION PARTIAL DIFFERENTIAL EQUATIONS CONVERGENCE INVERSION NORTH ATLANTIC OCEAN LAKES OCEAN BOTTOM VOLCANOES ASHES CORE SAMPLING Inverse problems PE61102F WUAFOSR2304A1 Banks,H T Rosen,I G Numerical Schemes for the Estimation of Functional Parameters in Distributed Models for Mixing Mechanisms in Lake and Sea Sediment Cores. |
topic_facet |
Physical and Dynamic Oceanography Hydrology Limnology and Potamology Numerical Mathematics *NUMERICAL ANALYSIS *MIXING *SEDIMENTS CORES MODELS DISTRIBUTION PARAMETERS DEPTH ESTIMATES BOUNDARIES VERTICAL ORIENTATION PARTIAL DIFFERENTIAL EQUATIONS CONVERGENCE INVERSION NORTH ATLANTIC OCEAN LAKES OCEAN BOTTOM VOLCANOES ASHES CORE SAMPLING Inverse problems PE61102F WUAFOSR2304A1 |
description |
We consider distributed parameter models for vertical mixing in lake and sea sediment cores. Finite dimensional approximation schemes are developed for the solution of associated inverse problems. The schemes permit one to estimate temporally and spatially varying functional parameters which appear in the parabolic partial differential equations and boundary conditions constituting the models. Theoretical convergence results are established. Numerical findings are presented which demonstrate the potential of the methods. An example involving the identification of a depth dependent mixing parameter based upon volcanic ash data from the North Atlantic is included. |
author2 |
BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS |
format |
Text |
author |
Banks,H T Rosen,I G |
author_facet |
Banks,H T Rosen,I G |
author_sort |
Banks,H T |
title |
Numerical Schemes for the Estimation of Functional Parameters in Distributed Models for Mixing Mechanisms in Lake and Sea Sediment Cores. |
title_short |
Numerical Schemes for the Estimation of Functional Parameters in Distributed Models for Mixing Mechanisms in Lake and Sea Sediment Cores. |
title_full |
Numerical Schemes for the Estimation of Functional Parameters in Distributed Models for Mixing Mechanisms in Lake and Sea Sediment Cores. |
title_fullStr |
Numerical Schemes for the Estimation of Functional Parameters in Distributed Models for Mixing Mechanisms in Lake and Sea Sediment Cores. |
title_full_unstemmed |
Numerical Schemes for the Estimation of Functional Parameters in Distributed Models for Mixing Mechanisms in Lake and Sea Sediment Cores. |
title_sort |
numerical schemes for the estimation of functional parameters in distributed models for mixing mechanisms in lake and sea sediment cores. |
publishDate |
1985 |
url |
http://www.dtic.mil/docs/citations/ADA167261 http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA167261 |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_source |
DTIC AND NTIS |
op_relation |
http://www.dtic.mil/docs/citations/ADA167261 |
op_rights |
APPROVED FOR PUBLIC RELEASE |
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1766122742761914368 |