Handbook of Mathematical Geodesy Functional Analytic and Potential Theoretic Methods /

Written by leading experts, this book provides a clear and comprehensive survey of the "status quo" of the interrelating process and cross-fertilization of structures and methods in mathematical geodesy. Starting with a foundation of functional analysis, potential theory, constructive appr...

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Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Geosystems Mathematics,
Témata:
Harmonic analysis.
Geophysics.
Partial differential equations.
ISBN:9783319571812
ISSN:2510-1544
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Obsah:
  • Introduction
  • Gauss as Scientific Mediator between Mathematics and Geodesy from the Past to the Present
  • An Overview on Tools from Functional Analysis
  • Operator-Theoretic and Regularization Approaches to Ill-Posed Problems
  • Geodetic Observables and Their Mathematical Treatment in Multiscale Framework
  • The Analysis of Geodetic Boundary Value Problem: State and Perspectives
  • Oblique Stochastic Boundary Value Problem
  • About the Importance of the Runge-Walsh Concept for Gravitational Field Determination
  • Geomathematical Advances in Satellite Gravity Gradiometry
  • Parameter Choices for Fast Harmonic Spline Approximation
  • Gravimetry as an Ill-Posed Problem in Mathematical Geodesy
  • Gravimetry and Exploration
  • On the Non-Uniqueness of Gravitational and Magnetic Field Data Inversion
  • Spherical Harmonics Based Special Function Systems and Constructive Approximation Methods
  • Spherical Potential Theory: Tools and Applications
  • A combination of Downward Continuation and Local Approximation for Harmonic Potentials
  • Joint Inversion of Multiple Observation.

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