Abstract
Historically, both BVP solutions have been obtained by a solution method that in Geodesy is known as downward continuation (DC), as explained in Chap. 4. The DC, however, is known to be an improperly posed operation. Nevertheless, since classical methods seem to provide numerically sensible results, the conclusion is drawn that such classical methods in reality hide different approaches that need to be more clearly anchored on solid mathematical ground.
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Sansò, F., Sideris, M.G. (2017). The Downward Continuation Approach: A Long-Lasting Misunderstanding in Physical Geodesy. In: Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions. SpringerBriefs in Earth Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-46358-2_5
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