Estimation of spatially varying parameters in partial differential equations†
- 1 March 1972
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 15 (3) , 487-495
- https://doi.org/10.1080/00207177208932164
Abstract
The estimation of a vector of unknown spatially varying parameters in non-linear partial differential equations from noisy observations is considered. Two algorithms are presented. The first is a method of steepest descent based on consideration of the unknown parameter vector as a control vector. The second is baaed on treating the parameter as an additional state vector and employing least-square filtering. Computational results are presented on the estimation of the diffusivity in the heat equationKeywords
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