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A quasi-Newton approach to identification of a parabolic system

Published online by Cambridge University Press:  17 February 2009

Wenhuan Yu
Wenhuan Yu
Affiliation:
Department of Mathematics, Tianjin University, Tianjin 300072, People's Republic of China.
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Abstract

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A quasi-Newton method (QNM) in infinite-dimensional spaces for identifying parameters involved in distributed parameter systems is presented in this paper. Next, the linear convergence of a sequence generated by the QNM algorithm is also proved. We apply the QNM algorithm to an identification problem for a nonlinear parabolic partial differential equation to illustrate the efficiency of the QNM algorithm.

Type
Research Article
Information
The ANZIAM Journal , Volume 40 , Issue 1 , July 1998 , pp. 1 - 22
Copyright
Copyright © Australian Mathematical Society 1998

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