Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions

Name: Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions
SKU: 25731990
Price: 138.99 AUD
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Paperback / softback

Series:

Springerbriefs in Earth Sciences

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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 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.

Release date Australia

November 17th, 2016

Author

Audience

Professional & Vocational

Edition

1st ed. 2017

Illustrations

2 Illustrations, color; 11 Illustrations, black and white; V, 81 p. 13 illus., 2 illus. in color.

Pages

Series

Springerbriefs in Earth Sciences

Dimensions

155x235x5

ISBN-13

9783319463575

Product ID

25731990

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