On Parameter Identification for Ordinary Differential Equations

  • Ulrich Tautenhahn

    University of Applied Sciences, Zittau, Germany

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