Geodetic Boundary Value Problem
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Geodetic Boundary Value Problem The Equivalence Between Molodensky S And Helmert S Solutions
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Author : Fernando Sansò
language : en
Publisher: Springer
Release Date : 2016-11-09
Geodetic Boundary Value Problem The Equivalence Between Molodensky S And Helmert S Solutions written by Fernando Sansò and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-09 with Science categories.
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.
The Geodetic Boundary Value Problem And The Coordinate Choice Problem
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Author : Fernando Sansò
language : en
Publisher:
Release Date : 1981
The Geodetic Boundary Value Problem And The Coordinate Choice Problem written by Fernando Sansò and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Geodetic Boundary Value Problems In View Of The One Centimeter Geoid
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Author : Fernando Sansò
language : en
Publisher: Springer
Release Date : 1997-06-25
Geodetic Boundary Value Problems In View Of The One Centimeter Geoid written by Fernando Sansò and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-25 with Mathematics categories.
The precise determination of the figure of the earth and its exterior gravitational field requires the solution of the geodetic boundary value problem (GBVP). Recently, a whole series of new measurement techniques has became available, in particular air- and spaceborne methods. They will make its solution much more complete and accurate and will contribute to a better understanding of ocean circulation and of the earth's interior. The book consists of contributions from leading scientists presented at an international summer school. It covers all aspects of the solution of the GBVP, from a mathematical basis via geodetic modeling to its relationship with advanced measurements. It provides three foundations to determine the geoid at a 1-cm precision level.
The Geodetic Boundary Value Problem In Two Dimensions And Its Iterative Solution
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Author : Martin van Gelderen
language : en
Publisher:
Release Date : 1991
The Geodetic Boundary Value Problem In Two Dimensions And Its Iterative Solution written by Martin van Gelderen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Boundary value problems categories.
The Geodetic Boundary Value Problem In Two Dimensions And Its Iterative Solution
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Author : Martin van Gelderen
language : en
Publisher:
Release Date : 1991
The Geodetic Boundary Value Problem In Two Dimensions And Its Iterative Solution written by Martin van Gelderen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Boundary value problems categories.
Geodetic Boundary Value Problem
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Author : Fernando Sansò
language : en
Publisher:
Release Date : 2017
Geodetic Boundary Value Problem written by Fernando Sansò and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Physical geography categories.
Geodetic Boundary Value Problems In View Of The One Centimeter Geoid
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Author : Fernando Sansò
language : en
Publisher: Springer
Release Date : 2014-03-12
Geodetic Boundary Value Problems In View Of The One Centimeter Geoid written by Fernando Sansò and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-12 with Science categories.
The precise determination of the figure of the earth and its exterior gravitational field requires the solution of the geodetic boundary value problem (GBVP). Recently, a whole series of new measurement techniques has became available, in particular air- and spaceborne methods. They will make its solution much more complete and accurate and will contribute to a better understanding of ocean circulation and of the earth's interior. The book consists of contributions from leading scientists presented at an international summer school. It covers all aspects of the solution of the GBVP, from a mathematical basis via geodetic modeling to its relationship with advanced measurements. It provides three foundations to determine the geoid at a 1-cm precision level.
V Hotine Marussi Symposium On Mathematical Geodesy
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Author : Fernando Sansò
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
V Hotine Marussi Symposium On Mathematical Geodesy written by Fernando Sansò and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.
Just as in the era of great achievements by scientists such as Newton and Gauss, the mathematical theory of geodesy is continuing the tradition of producing exciting theoretical results, but today the advances are due to the great technological push in the era of satellites for earth observations and large computers for calculations. Every four years a symposium on methodological matters documents this ongoing development in many related underlying areas such as estimation theory, stochastic modelling, inverse problems, and satellite-positioning global-reference systems. This book presents developments in geodesy and related sciences, including applied mathematics, among which are many new results of high intellectual value to help readers stay on top of the latest happenings in the field.
Solution Of The Geodetic Boundary Value Problem In Case Of A Reference Ellipsoid
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Author : Karl-Rudolf Koch
language : en
Publisher:
Release Date : 1968
Solution Of The Geodetic Boundary Value Problem In Case Of A Reference Ellipsoid written by Karl-Rudolf Koch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Boundary value problems categories.
The solution of the boundary-value problem of physical geodesy in the case of a reference ellipsoid is given with a relative error of the order of the square of the flattening of the earth. The solution is obtained by representing the disturbing potential at the earth's surface as the potential of a simple layer and by introducing this expression into the boundary condition. If the earth's topography is neglected in the derived solution, a new solution of Stokes' problem for a reference ellipsoid is obtained. As an example, the geodetic boundary-value problem is solved for a mathematical model of the earth. (Author).
Geodetic Boundary Value Problems Iii
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Author : Kurt Arnold
language : en
Publisher:
Release Date : 1989
Geodetic Boundary Value Problems Iii written by Kurt Arnold and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Boundary value problems categories.