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An approximation theory for nonlinear partial differential equations with applications to identification and controlApproximation results from linear semigroup theory are used to develop a general framework for convergence of approximation schemes in parameter estimation and optimal control problems for nonlinear partial differential equations. These ideas are used to establish theoretical convergence results for parameter identification using modal (eigenfunction) approximation techniques. Results from numerical investigations of these schemes for both hyperbolic and parabolic systems are given.
Document ID
19830034976
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Banks, H. T.
(Brown University Providence, RI, United States)
Kunisch, K.
(Graz, Technische Universitaet Graz, Austria)
Date Acquired
August 11, 2013
Publication Date
November 1, 1982
Publication Information
Publication: SIAM Journal on Control and Optimization
Volume: 20
Subject Category
Numerical Analysis
Accession Number
83A16194
Funding Number(s)
CONTRACT_GRANT: AF-AFOSR-76-3092D
CONTRACT_GRANT: NAS1-16394
CONTRACT_GRANT: NAS1-15810
CONTRACT_GRANT: DAAG29-79-C-0161
CONTRACT_GRANT: NSF MCS-79-05774-02
Distribution Limits
Public
Copyright
Other

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