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Geodetic boundary value problem = th...

Sanso, Fernando.

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Geodetic boundary value problem = the equivalence between Molodensky's and Helmert's solutions /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Geodetic boundary value problem/ by Fernando Sanso, Michael G. Sideris.
Reminder of title:	the equivalence between Molodensky's and Helmert's solutions /
Author:	Sanso, Fernando.
other author:	Sideris, Michael G.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	v, 81 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Boundary value problems. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-46358-2
ISBN:	9783319463582

Geodetic boundary value problem = the equivalence between Molodensky's and Helmert's solutions /
Sanso, Fernando.

Geodetic boundary value problemthe equivalence between Molodensky's and Helmert's solutions /[electronic resource] :by Fernando Sanso, Michael G. Sideris. - Cham :Springer International Publishing :2017. - v, 81 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in earth sciences,2191-5369. - SpringerBriefs in earth sciences..

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.

ISBN: 9783319463582

Standard No.: 10.1007/978-3-319-46358-2doiSubjects--Topical Terms:

527599
Boundary value problems.

LC Class. No.: QA379

Dewey Class. No.: 515.35

Geodetic boundary value problem = the equivalence between Molodensky's and Helmert's solutions /
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245 1 0 $a Geodetic boundary value problem $h [electronic resource] : $b the equivalence between Molodensky's and Helmert's solutions / $c by Fernando Sanso, Michael G. Sideris.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a v, 81 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a SpringerBriefs in earth sciences, $x 2191-5369
520 $a 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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