Collocation and applications - Invitation to block seminar
Aquisition of deeper knowledge about basic concepts in interpolation and prediction theory
The institute of Geodesy and Geoinformation, University of Bonn, invites to take part in the block seminar 'Collocation and applications', held by Prof. Dr. Mirko Reguzzoni, Politecnico di Milano, Italy.
Teaching content: The problem of data interpolation and prediction. Revision of the least-squares principle and Tikhonov regularization. The
collocation approach and its deterministic and stochastic interpretation. Wiener-Kolmogorov optimization principle. Collocation
estimates and error estimates with and without change of functional. Empirical covariance estimation and the concepts
of invariance by translations and rotations. Examples of covariance models. Wiener filter and power spectra in the
frequency domain. The generalization to the least-squares collocation approach and to the ordinary kriging.
The collocation approach is applied to a set of numerical examples, and in particular to the data filtering and prediction of
a 1D time series, to an inverse gravimetric problem in 2D planar approximation and to a geoid determination from gravity
data in spherical approximation. These examples are performed in a computer laboratory, preferably by using MATLAB
software.
Please apply via the following link: https://ecampus.uni-bonn.de/login.php?target=crs_1135951&cmd=force_login&lang=de
Contact:
Prof. Dr. techn. W.-D. Schuh
University of Bonn
Institute of Geodesy and Geoinformation
e-mail: schuh@uni-bonn.de
