Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions (SpringerBriefs in Earth Sciences) - Tapa blanda

Sansò, Fernando

 
9783319463575: Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions (SpringerBriefs in Earth Sciences)
Tapa blanda
ISBN 10: 3319463578 ISBN 13: 9783319463575
Editorial: Springer, 2016

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2016
Idioma
Inglés
ISBN 10 
3319463578
ISBN 13 
9783319463575
Encuadernación
Tapa blanda
Número de páginas
88
Contacto del fabricante
no disponible
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