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.

The convergence problem of collocation solutions in the framework of stochastic interpretation

SANSO', FERNANDO;VENUTI, GIOVANNA
2012-01-01

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.
2012
VII Hotine-Marussi Symposium on Mathematical Geodesy
9783642220777
collocation theory; convergence
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/690402
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