On Parameter Identification for Ordinary Differential Equations
Ulrich Tautenhahn
University of Applied Sciences, Zittau, Germany
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Abstract
The regularized solution of identification problems in ordinary differential equations is investigated when the data are noisy. For minimizing the occurring regularization functionals the gradient method and the Gauss-Newton method are examined by exploiting the concept of adjoint equations. An application to a particular inverse problem arising in the study of water movement about a gas-storage reservoir of aquifer type completes the paper.
Cite this article
Ulrich Tautenhahn, On Parameter Identification for Ordinary Differential Equations. Z. Anal. Anwend. 7 (1988), no. 6, pp. 571–580
DOI 10.4171/ZAA/331