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Chapter and Conference Paper
Monte Carlo Integration for Quasi–linear Models
In this contribution we consider the inversion of quasi-linear models by means of Monte-Carlo methods. Quasi-linear models are a special class of non-linear models, which can be formally written in matrix-vect...
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Chapter and Conference Paper
Estimating Covariance Parameters in Gravity Downward Continuation
We discuss same concepts related to the estimation of covariance parameters in the numerical treatment of gravity downward continuation. We aim explicitly at the determination of weighting factors, regularizat...
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Chapter and Conference Paper
Numerical techniques for large least-squares problems with applications to GOCE
The development of space-borne measurement sensors and powerful computer hardware, in combination with improvements in mathematical and physical modelling, allow us to determine the Earth’s gravity field with ...
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Chapter and Conference Paper
On the Regularization Problem in Gravity Field Determination from Satellite Gradiometric Data
The determination of the Earth’s exterior gravity field from noisy satellite gravity gradient (SGG) data lacks stability due to the polar gaps and the downward continuation process. After discretization, this ...
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Chapter and Conference Paper
On the Iterative Solution of Ill-Conditioned Normal Equations by the Use of Lanczos Methods
The determination of the earth’s exterior gravity field from noisy satellite observations lacks stability, due to the downward continuation process and due to data gaps. This property translates into an ill-co...
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Chapter and Conference Paper
Satellite Gravity Anomaly Recovery Using Multigrid Methods
Dedicated SST- or SGG missions like GRACE and GOCE will provide gravity field information of new quality. But the computation of gravity models from these missions involves the solution of large, dense and ill...
