By Fernando Sansò,Michael G. Sideris
This ebook deals a brand new method of studying the geodetic boundary worth challenge, effectively acquiring the suggestions of the Molodensky and Stokes boundary worth difficulties (BVPs) with assistance from downward continuation (DC) dependent equipment. even if DC is understood to be an improperly posed operation, classical tools appear to offer numerically good effects, and for that reason it may be concluded that such classical tools needs to in truth be manifestations of other, mathematically sound approaches.
Here, the authors first turn out the equivalence of Molodensky’s and Stoke's techniques with Helmert’s aid when it comes to either BVP formula and BVP recommendations through the DC technique. They then cross directly to exhibit that this isn't only a downward continuation operation, and supply extra rigorous interpretations of the DC technique as a transformation of boundary process and as a pseudo BVP resolution approach.
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