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Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions (SpringerBriefs in Earth Sciences) - Softcover
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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- PublisherSpringer
- Publication date2016
- ISBN 10 3319463578
- ISBN 13 9783319463575
- BindingPaperback
- Edition number1
- Number of pages86
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Geodetic Boundary Value Problem: the Equivalence between Molodensky?s and Helmert?s Solutions (SpringerBriefs in Earth Sciences)
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Geodetic Boundary Value Problem: the Equivalence between Molodensky's and Helmert's Solutions
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Geodetic Boundary Value Problem: The Equivalence Between Molodensky s and Helmert s Solutions
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Geodetic Boundary Value Problem: the Equivalence between Molodensky's and Helmert's Solutions
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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book offers a new approach to interpreting the geodetic boundary value problem, successfully obtaining the solutions of theMolodensky 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. 81 pp. Englisch. Seller Inventory # 9783319463575
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Geodetic Boundary Value Problem: the Equivalence between Molodensky's and Helmert's Solutions : The Equivalence Between Molodensky's and Helmert's Solutions
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Book Description Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book offers a new approach to interpreting the geodetic boundary value problem, successfully obtaining the solutions of theMolodensky 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. Seller Inventory # 9783319463575
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Geodetic Boundary Value Problem
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Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Shows for the first time the theoretical equivalence of the various geodetic boundary value problems, with and without terrain reductionsOffers a rigorous, alternative interpretation of the usual downward continuation approach as a change of bound. Seller Inventory # 128452371
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