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

Nonfiction, Science & Nature, Science, Earth Sciences, Geophysics, Mathematics, Applied
Cover of the book Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions by Fernando Sansò, Michael G.  Sideris, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Fernando Sansò, Michael G. Sideris ISBN: 9783319463582
Publisher: Springer International Publishing Publication: November 9, 2016
Imprint: Springer Language: English
Author: Fernando Sansò, Michael G. Sideris
ISBN: 9783319463582
Publisher: Springer International Publishing
Publication: November 9, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Globular Cluster Binaries and Gravitational Wave Parameter Estimation by Fernando Sansò, Michael G.  Sideris
Cover of the book Dependent Data in Social Sciences Research by Fernando Sansò, Michael G.  Sideris
Cover of the book Evolutionary Biology: Genome Evolution, Speciation, Coevolution and Origin of Life by Fernando Sansò, Michael G.  Sideris
Cover of the book The Ordinary Presidency of Donald J. Trump by Fernando Sansò, Michael G.  Sideris
Cover of the book Characteristics of Temporary Migration in European-Asian Transnational Social Spaces by Fernando Sansò, Michael G.  Sideris
Cover of the book Confectionery Science and Technology by Fernando Sansò, Michael G.  Sideris
Cover of the book Why Can't Philosophers Laugh? by Fernando Sansò, Michael G.  Sideris
Cover of the book Exile and Expatriation in Modern American and Palestinian Writing by Fernando Sansò, Michael G.  Sideris
Cover of the book Information Technologies and Mathematical Modelling. Queueing Theory and Applications by Fernando Sansò, Michael G.  Sideris
Cover of the book Advances in Databases and Information Systems by Fernando Sansò, Michael G.  Sideris
Cover of the book Ordered Sets by Fernando Sansò, Michael G.  Sideris
Cover of the book The Climatology of Air-Mass and Frontal Extreme Precipitation by Fernando Sansò, Michael G.  Sideris
Cover of the book Virtual and Remote Control Tower by Fernando Sansò, Michael G.  Sideris
Cover of the book Scanning Tunneling Spectroscopy of Magnetic Bulk Impurities by Fernando Sansò, Michael G.  Sideris
Cover of the book Hunter-gatherers in a Changing World by Fernando Sansò, Michael G.  Sideris
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy