The Overdetermined Boundary Value Problems of Physical Geodesy PDF Download
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Author: F. Sacerdote
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Book Description
Author: F. Sacerdote
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Book Description
Author: Bernhard Heck
Publisher:
ISBN:
Category : Geodesy
Languages : en
Pages : 74
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Book Description
Author: Lucia S. Tsaoussi
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 130
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Book Description
Author: Wolfgang Torge
Publisher: Walter de Gruyter
ISBN: 3110879956
Category : Science
Languages : en
Pages : 433
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Book Description
The third edition of this well-known textbook, first published in 1980, has been completely revised in order to adequately reflect the drastic changes which occured in the field of geodesy in the last twenty years. Reference systems are now well established by space techniques, which dominate positioning and gravity field determination. Terrestrial techniques still play an important role at local and regional applications, whereby remarkable progress has been made with respect to automatic data aquisition. Evaluation methods are now three-dimensional in principle, and have to take the gravity field into account. Geodetic control networks follow these developments, with far-reaching consequences for geodetic practice. Finally, the increased accuracy of geodetic products and high data rates have significantly increased the contributions of geodesy to geodynamics research, thus strengthening the role of geodesy within the geosciences. The present state of geodesy is illustrated by recent examples of instruments and results. An extensive reference list supports further studies.
Author: Martin van Gelderen
Publisher:
ISBN: 9789061322412
Category : Boundary value problems
Languages : en
Pages : 160
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Book Description
Author: Jun-Yi Guo
Publisher: Springer Nature
ISBN: 3031233204
Category : Computers
Languages : en
Pages : 514
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Book Description
This textbook introduces physical geodesy. It treats the boundary-value theories of the discipline comprehensively, and provides insights to the theory of gravity reduction based on a spherical Earth model. This book is for students who wish to thoroughly understand the material and to expand their knowledge and skills in mathematics for more advanced study and research in this discipline. The details of mathematical derivations included are a useful asset for instructors and researchers.
Author: Fernando Sansò
Publisher: Springer
ISBN: 3319463586
Category : Science
Languages : en
Pages : 83
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Book 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.
Author: Helmut Moritz
Publisher:
ISBN:
Category :
Languages : en
Pages : 48
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Book Description
Author: Fernando Sansò
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 620
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Book Description
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.
Author: Mr. Petr Vanicek
Publisher: CRC Press
ISBN: 1000102939
Category : Science
Languages : en
Pages : 364
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Book Description
Geoid and its Geophysical Interpretations explains how an accurate geoid can be constructed and used for a variety of applied and theoretical geophysical purposes. The book discusses existing techniques for geoid computation, recently developed mathematical and computational tools designed for applications, and various interpretations. Principles and results are well illustrated. This book will be an excellent reference for geodesists, geophysicists, geophysical prospectors, oceanographers, and researchers and students in geophysics and geodesy.
