Abstract
The convergence of the collocation solution to the true gravity field is a problem defined long ago; some results were derived, in particular by T. Krarup, already in 1981. The problem is taken up again in the context of the stochastic interpretation of collocation theory and some new results are derived, showing that, when the potential T can be really continued down to a Bjerhammar sphere, reasonable convergence results hold true.
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Sansò, F., Venuti, G. (2012). The Convergence Problem of Collocation Solutions in the Framework of the Stochastic Interpretation. In: Sneeuw, N., Novák, P., Crespi, M., Sansò, F. (eds) VII Hotine-Marussi Symposium on Mathematical Geodesy. International Association of Geodesy Symposia, vol 137. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22078-4_32
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DOI: https://doi.org/10.1007/978-3-642-22078-4_32
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