Accession Number : ADA192757

Title :   A Unified Framework for Approximation in Inverse Problems for Distributed Parameter Systems.

Descriptive Note : Final rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Banks, H T ; Ito, K

PDF Url : ADA192757

Report Date : Jan 1988

Pagination or Media Count : 34

Abstract : A theoretical framework can be used to treat approximation techniques for very general classes of parameter estimation problems involving distributed systems that are either first or second order in time. Using the approach developed, one can obtain both convergence and stability (continuous dependence of parameter estimates with respect to the observations) under very weak regularity and compactness assumptions on the set of admissible parameters. This unified theory can be used for many problems found in the recent literature and in many cases offers significant improvements to existing results. Keywords: Approximation; Parameter estimation; Partial differential equations.

Descriptors :   *PARAMETRIC ANALYSIS, ESTIMATES, INVERSION, PARTIAL DIFFERENTIAL EQUATIONS, APPROXIMATION(MATHEMATICS)

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE