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 Applications of Metaheuristics in Process Engineering by Fernando Sansò, Michael G.  Sideris
Cover of the book Constitutional Rights -What They Are and What They Ought to Be by Fernando Sansò, Michael G.  Sideris
Cover of the book Heterogeneous Information Network Analysis and Applications by Fernando Sansò, Michael G.  Sideris
Cover of the book HCI International 2018 – Posters' Extended Abstracts by Fernando Sansò, Michael G.  Sideris
Cover of the book An Excursion through Elementary Mathematics, Volume II by Fernando Sansò, Michael G.  Sideris
Cover of the book Screening the Single Euploid Embryo by Fernando Sansò, Michael G.  Sideris
Cover of the book Family Life, Trauma and Loss in the Twentieth Century by Fernando Sansò, Michael G.  Sideris
Cover of the book Magnetostatic Modelling of Thin Layers Using the Method of Moments And Its Implementation in OCTAVE/MATLAB by Fernando Sansò, Michael G.  Sideris
Cover of the book Electrophysiology of Unconventional Channels and Pores by Fernando Sansò, Michael G.  Sideris
Cover of the book Design-for-Test and Test Optimization Techniques for TSV-based 3D Stacked ICs by Fernando Sansò, Michael G.  Sideris
Cover of the book Logistics by Fernando Sansò, Michael G.  Sideris
Cover of the book Climate Change in Cities by Fernando Sansò, Michael G.  Sideris
Cover of the book Preventing Abuse and Neglect in the Lives of Children with Disabilities by Fernando Sansò, Michael G.  Sideris
Cover of the book Leading Pharmaceutical Innovation by Fernando Sansò, Michael G.  Sideris
Cover of the book State Building and National Identity Reconstruction in the Horn of Africa 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