000			03614nam a22005775i 4500
001			978-3-319-46358-2
003			DE-He213
005			20210118141335.0
007			cr nn 008mamaa
008			161109s2017 gw | s |||| 0|eng d
020			_a9783319463582 _9978-3-319-46358-2
024	7		_a10.1007/978-3-319-46358-2 _2doi
050		4	_aQC801-809
072		7	_aPHVG _2bicssc
072		7	_aSCI032000 _2bisacsh
072		7	_aPHVG _2thema
082	0	4	_a550 _223
082	0	4	_a526.1 _223
100	1		_aSansò, Fernando. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	0	_aGeodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions _h[electronic resource] / _cby Fernando Sansò, Michael G. Sideris.
250			_a1st ed. 2017.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2017.
300			_aV, 81 p. 13 illus., 2 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringerBriefs in Earth Sciences, _x2191-5369
520			_aThis 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.
650		0	_aGeophysics.
650		0	_aMathematical physics.
650	1	4	_aGeophysics/Geodesy. _0http://scigraph.springernature.com/things/product-market-codes/G18009
650	2	4	_aMathematical Applications in the Physical Sciences. _0http://scigraph.springernature.com/things/product-market-codes/M13120
650	2	4	_aGeophysics and Environmental Physics. _0http://scigraph.springernature.com/things/product-market-codes/P32000
700	1		_aSideris, Michael G. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783319463575
776	0	8	_iPrinted edition: _z9783319463599
830		0	_aSpringerBriefs in Earth Sciences, _x2191-5369
856	4	0	_uhttps://doi.org/10.1007/978-3-319-46358-2
912			_aZDB-2-EES
999			_c450187 _d450187
942			_cEB
506			_aAvailable to subscribing member institutions only. Доступно лише організаціям членам підписки.
506			_fOnline access from local network of NaUOA.
506			_fOnline access with authorization at https://link.springer.com/
506			_fОнлайн-доступ з локальної мережі НаУОА.
506			_fОнлайн доступ з авторизацією на https://link.springer.com/