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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Geodetic boundary value problem/ by Fernando Sanso, Michael G. Sideris.
其他題名:	the equivalence between Molodensky's and Helmert's solutions /
作者:	Sanso, Fernando.
其他作者:	Sideris, Michael G.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	v, 81 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Boundary value problems. -
電子資源:	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:

528307
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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