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A theoretical framework for convergence and continuous dependence of estimates in inverse problems for distributed parameter systemsNumerical techniques for parameter identification in distributed-parameter systems are developed analytically. A general convergence and stability framework (for continuous dependence on observations) is derived for first-order systems on the basis of (1) a weak formulation in terms of sesquilinear forms and (2) the resolvent convergence form of the Trotter-Kato approximation. The extension of this framework to second-order systems is considered.
Document ID
19890037256
Document Type
Reprint (Version printed in journal)
Authors
Banks, H. T. (Brown Univ. Providence, RI, United States)
Ito, K. (Brown University Providence, RI, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1988
Publication Information
Publication: Applied Mathematics Letters
Volume: 1
Issue: 1 19
ISSN: 0893-9659
Subject Category
NUMERICAL ANALYSIS
Funding Number(s)
CONTRACT_GRANT: NAG1-517
CONTRACT_GRANT: F49620-86-C-0111
CONTRACT_GRANT: NAS1-18107
CONTRACT_GRANT: NAS1-17070
CONTRACT_GRANT: AF-AFOSR-84-0398
CONTRACT_GRANT: NSF MCS-85-04316
Distribution Limits
Public
Copyright
Other