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Handbook of Mathematical Geodesy : Functional Analytic and Potential Theoretic Methods

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概要 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 geode...sy. Starting with a foundation of functional analysis, potential theory, constructive approximation, special function theory, and inverse problems, readers are subsequently introduced to today’s least squares approximation, spherical harmonics reflected spline and wavelet concepts, boundary value problems, Runge-Walsh framework, geodetic observables, geoidal modeling, ill-posed problems and regularizations, inverse gravimetry, and satellite gravity gradiometry. All chapters are self-contained and can be studied individually, making the book an ideal resource for both graduate students and active researchers who want to acquaint themselves with the mathematical aspects of modern geodesy.続きを見る
目次 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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本文を見る Full text available from Springer Mathematics and Statistics eBooks 2018 English/International

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登録日 2020.06.27
更新日 2020.06.28