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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Bibliographic Details
Main Authors: Banks,H T, Rosen,I G
Other Authors: BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
Format: Text
Language:English
Published: 1985
Subjects:
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
North Atlantic
Online Access:http://www.dtic.mil/docs/citations/ADA167261
http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA167261
Description
Summary: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.

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