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Titlebook: Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions; Fernando Sansò,Michael G.‘Sideris Book 2017

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,Wer ich bin und wer ich sein möchte, .. 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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Physical Geodesy and Its Boundary Value Problems,is concept to be used in the framework of the modern approach to the determination of the Earth gravity field via the solution of a Boundary Value Problem. The main formulation of the geodetic Boundary Value Problem (GBVP), known as ., is also introduced in two versions, non-linear and linear.
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The Change of Boundary Approach, the actual complicated boundary to a Bjerhammer sphere, solving the corresponding BVP by a Poisson kernel and then going to residuals. A rigorous proof of convergence of the above method is still lacking, although a fine perturbative analysis conducted in Appendix A seems to answer in positive sense to such question.
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Book 2017rt’s reduction in terms of both BVP formulation and BVP solutions by means of the DC method. They then go on to show that this is not merely a downward continuation operation, and provide more rigorous interpretations of the DC approach as a change of boundary approach and as a pseudo BVP solution approach..
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