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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Freeden, Willi (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Nashed, M. Zuhair (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
Έκδοση:1st ed. 2018.
Σειρά:Geosystems Mathematics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.