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

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, c...

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Bibliographic Details
Main Authors: Sansò, F. 1945- (Author), Sideris, Michael G., 1958- (Author)
Format: eBook
Language: English
Published: Cham, Switzerland : Springer, [2016]
Series: SpringerBriefs in earth sciences.
Subjects:
Boundary value problems.
Geodesy > Mathematics.
elektronické knihy
electronic books
ISBN: 9783319463582
9783319463575
Physical Description: 1 online resource (v, 81 pages) : illustrations (some color)

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035 |a (OCoLC)962750946  |z (OCoLC)966175554 
100 1 |a Sansò, F.  |q (Fernando),  |d 1945-  |e author. 
245 1 0 |a Geodetic boundary value problem :  |b the equivalence between Molodensky's and Helmert's solutions /  |c Fernando Sansò, Michael G. Sideris. 
264 1 |a Cham, Switzerland :  |b Springer,  |c [2016] 
264 4 |c ©2017 
300 |a 1 online resource (v, 81 pages) :  |b illustrations (some color) 
336 |a text  |b txt  |2 rdacontent 
337 |a počítač  |b c  |2 rdamedia 
338 |a online zdroj  |b cr  |2 rdacarrier 
490 1 |a SpringerBriefs in earth sciences,  |x 2191-5369 
504 |a Includes bibliographical references. 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
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. 
590 |a SpringerLink  |b Springer Complete eBooks 
650 0 |a Boundary value problems. 
650 0 |a Geodesy  |x Mathematics. 
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
655 9 |a electronic books  |2 eczenas 
700 1 |a Sideris, Michael G.,  |d 1958-  |e author. 
830 0 |a SpringerBriefs in earth sciences. 
856 4 0 |u https://proxy.k.utb.cz/login?url=https://link.springer.com/10.1007/978-3-319-46358-2  |y Plný text 
992 |c NTK-SpringerEES 
999 |c 98694  |d 98694 
993 |x NEPOSILAT  |y EIZ 

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