EAN: 9783319463575

SPRINGERBRIEFS IN EARTH SCIENCES GEODETIC BOU...

This book offers a new approach to interpreting the geodetic boundary value problem 
successfully obtaining the solutions of the Molodensky and Stokes boundary value problems
(BVPs) with the help of downward continuation (DC) based methods. Although DC is known to be an
improperly posed operation  classical methods seem to provide numerically sensible results  and
therefore it can be concluded that such classical methods must in fact be manifestations of
different  mathematically sound approaches. Here  the authors first prove the equivalence of
Molodensky's and Stoke's approaches with Helmert'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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