Description: Geodetic Boundary Value Problem: the Equivalence between Molodenskys and Helmerts Solutions by Michael G. Sideris, Fernando Sansò 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. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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 Molodenskys and Stokes approaches with Helmerts 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. Long Description 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 Stokes 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. " Feature Shows for the first time the theoretical equivalence of the various geodetic boundary value problems, with and without terrain reductions Offers a rigorous, alternative interpretation of the usual downward continuation approach as a change of boundary approach Provides the theoretical foundations for why the improperly posed downward continuation method has produced reasonable results in many practical applications of geoid/quasi-geoid determination Details ISBN3319463578 Year 2016 ISBN-10 3319463578 ISBN-13 9783319463575 Format Paperback Pages 81 Language English Media Book Edition 1st Imprint Springer International Publishing AG Place of Publication Cham Country of Publication Switzerland Illustrations 2 Illustrations, color; 11 Illustrations, black and white; V, 81 p. 13 illus., 2 illus. in color. Short Title Geodetic Boundary Value Problem Subtitle The Equivalence Between Molodensky S and Helmert S Solutions DOI 10.1007/978-3-319-46358-2 Author Fernando Sansò Edited by Jeff Spangenberger Birth 1974 Affiliation European University Viadrina, Germany Position journalist Qualifications Ph.D. Publisher Springer International Publishing AG Edition Description 1st ed. 2017 Series SpringerBriefs in Earth Sciences Publication Date 2016-11-17 DEWEY 515.35 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:131027132;
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ISBN-13: 9783319463575
Book Title: Geodetic Boundary Value Problem: the Equivalence between Molodens
Number of Pages: 81 Pages
Language: English
Publication Name: Geodetic Boundary Value Problem: the Equivalence between Molodensky's and Helmert's Solutions
Publisher: Springer International Publishing Ag
Publication Year: 2016
Subject: Engineering & Technology, Mathematics, Physics
Item Height: 235 mm
Item Weight: 1474 g
Type: Textbook
Author: Michael G. Sideris, Fernando Sanso
Item Width: 155 mm
Format: Paperback
