Handbook of Mathematical Geodesy

Shows how modern mathematics acts as a key technology in today's geodesy

Bridges real world observational as well as satellite techniques and virtual world modeling as well as simulation

Comprises high-level contributions from worldwide recognized researchers in mathematics and geodesy

Shows how modern mathematics acts as a key technology in today's geodesy Bridges real world observational as well as satellite techniques and virtual world modeling as well as simulation Comprises high-level contributions from worldwide recognized researchers in mathematics and geodesy

Autorentext
Willi Freeden is Professor of Geomathematics at the Technical University of Kaiserslautern, Germany
Zuhair Nahed is Professor at the University of Central Florida, Orlando, USA

Inhalt

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 LocalApproximation for Harmonic Potentials.- Joint Inversion of Multiple Observation.