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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Geodetic Boundary Value Problem: the Equivalence between Molodensky's and Helmert's Solutions (Paperback, 1st ed. 2017)
Loot Price: R1,773
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Geodetic Boundary Value Problem: the Equivalence between Molodensky's and Helmert's Solutions (Paperback, 1st ed. 2017)
Series: SpringerBriefs in Earth Sciences
Expected to ship within 10 - 15 working days
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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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