By Fernando Sansò,Michael G. Sideris
This publication deals a brand new method of examining the geodetic boundary price challenge, effectively acquiring the options of the Molodensky and Stokes boundary price difficulties (BVPs) with assistance from downward continuation (DC) established equipment. even if DC is understood to be an improperly posed operation, classical equipment appear to supply numerically good effects, and consequently it may be concluded that such classical equipment needs to actually be manifestations of alternative, mathematically sound approaches.
Here, the authors first turn out the equivalence of Molodensky’s and Stoke's ways with Helmert’s relief when it comes to either BVP formula and BVP options through the DC technique. They then move directly to express that this isn't purely a downward continuation operation, and supply extra rigorous interpretations of the DC method as a metamorphosis of boundary strategy and as a pseudo BVP answer approach.