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Geodetic Boundary Value Problems in View of the One Centimeter Geoid

  • Book
  • © 1997

Overview

Editors:
  1. Fernando Sansó
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    You can also search for this editor in PubMed   Google Scholar

  2. Reiner Rummel
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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Earth Sciences (LNEARTH, volume 65)

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Table of contents (19 chapters)

  1. Front Matter

    Download chapter PDF

  2. Introduction

    • R. Klees, B. Heck
    Pages 1-15

  3. Potential theory

    • E. Martensen, S. Ritter
    Pages 17-66

  4. Boundary value problems for harmonic random fields

    • Y. Rozanov, F. Sansò
    Pages 67-97

  5. Free boundary problems

    • M. Biroli
    Pages 98-118

  6. Formulation and linearization of boundary value problems: From observables to a mathematical model

    • B. Heck
    Pages 119-160

  7. The hierarchy of geodetic BVPs

    • F. Sansò
    Pages 161-218

  8. GBVP—Classical solutions and implementation

    • H. Sünkel
    Pages 219-237

  9. Topographic effects in gravity field modelling for BVP

    • R. Forsberg, C. C. Tscherning
    Pages 239-272

  10. Global models for the 1cm geoid — Present status and near term prospects

    • R. H. Rapp
    Pages 273-311

  11. An introduction to airborne gravimetry and its boundary value problems

    • K. -P. Schwarz, Zuofa Li
    Pages 312-358

  12. Spherical spectral properties of the earth's gravitational potential and its first and second derivatives

    • R. Rummel
    Pages 359-404

  13. Satellite altimetry, ocean dynamics and the marine geoid

    • E. J. O. Schrama
    Pages 405-454

  14. Stochastic boundary value problem theory: An elementary example

    • F. Sacerdote
    Pages 455-467

  15. Variational methods for geodetic boundary value problems

    • P. Holota
    Pages 468-481

  16. Topics on boundary element methods

    • R. Klees
    Pages 482-531

  17. Solving geodetic boundary value problems with parallel computers

    • R. Lehmann
    Pages 532-541

  18. Application of boundary value techniques to satellite gradiometry

    • W. Keller
    Pages 542-558

  19. The polar gap

    • N. Sneeuw, M. van Gelderen
    Pages 559-568

  20. European capabilities and prospects for a spaceborne gravimetric mission

    • M. Schuyer
    Pages 569-589
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Geodetic Boundary Value Problems in View of the One Centimeter Geoid

  • Editors: Fernando Sansó, Reiner Rummel

  • Series Title: Lecture Notes in Earth Sciences

  • DOI: https://doi.org/10.1007/BFb0011699

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • Softcover ISBN: 978-3-540-62636-7Published: 25 June 1997

  • eBook ISBN: 978-3-540-68353-7Published: 22 November 2005

  • Series ISSN: 0930-0317

  • Series E-ISSN: 1613-2580

  • Edition Number: 1

  • Number of Pages: XIX, 596

  • Number of Illustrations: 79 b/w illustrations

  • Topics: Geophysics/Geodesy, Geology, Oceanography

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