Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1988-12-31
On Parameter Identification for Ordinary Differential EquationsUlrich Tautenhahn
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.
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Tautenhahn Ulrich: On Parameter Identification for Ordinary Differential Equations. Z. Anal. Anwend. 7 (1988), 571-580. doi: 10.4171/ZAA/331