Recent Developments In The Geodetic Boundary Value Problems
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Recent Developments In The Geodetic Boundary Value Problems
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Author : Helmut Moritz
language : en
Publisher:
Release Date : 1977
Recent Developments In The Geodetic Boundary Value Problems written by Helmut Moritz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Handbook Of Mathematical Geodesy
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Author : Willi Freeden
language : en
Publisher: Birkhäuser
Release Date : 2018-06-11
Handbook Of Mathematical Geodesy written by Willi Freeden and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-11 with Mathematics categories.
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 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.
Report On Research At Afcrl
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Author : Air Force Cambridge Research Laboratories (U.S.)
language : en
Publisher:
Release Date : 1976
Report On Research At Afcrl written by Air Force Cambridge Research Laboratories (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Geophysics categories.
Ix Hotine Marussi Symposium On Mathematical Geodesy
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Author : Pavel Novák
language : en
Publisher: Springer Nature
Release Date : 2020-09-16
Ix Hotine Marussi Symposium On Mathematical Geodesy written by Pavel Novák and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-16 with Science categories.
This volume gathers the proceedings of the IX Hotine-Marussi Symposium on Mathematical Geodesy, which was held from 18 to 22 June 2018 at the Faculty of Civil and Industrial Engineering, Sapienza University of Rome, Italy. Since 2006, the Hotine-Marussi Symposia series has been produced under the auspices of the Inter-Commission Committee on Theory (ICCT) within the International Association of Geodesy (IAG). The ICCT has organized the last four Hotine-Marussi Symposia, held in Wuhan (2006) and Rome (2009, 2013 and 2018). The overall goal of the ICCT and Hotine-Marussi Symposia has always been to advance geodetic theory, as reflected in the 25 peer-reviewed research articles presented here. The IX Hotine-Marussi Symposium was divided into 10 topical sessions covering all aspects of geodetic theory including reference frames, gravity field modelling, adjustment theory, atmosphere, time series analysis and advanced numerical methods. In total 118 participants attended the Symposium and delivered 82 oral and 37 poster presentations. During a special session at the Accademia Nazionale deiLincei, the oldest scientific academy in the world, six invited speakers discussed interactions of geodesy with oceanography, glaciology, atmospheric research, mathematics, Earth science and seismology.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1992
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Aeronautics categories.
Decorrelative Mollifier Gravimetry
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Author : Willi Freeden
language : en
Publisher: Springer Nature
Release Date : 2021-05-12
Decorrelative Mollifier Gravimetry written by Willi Freeden and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-12 with Mathematics categories.
This monograph presents the geoscientific context arising in decorrelative gravitational exploration to determine the mass density distribution inside the Earth. First, an insight into the current state of research is given by reducing gravimetry to mathematically accessible, and thus calculable, decorrelated models. In this way, the various unresolved questions and problems of gravimetry are made available to a broad scientific audience and the exploration industry. New theoretical developments will be given, and innovative ways of modeling geologic layers and faults by mollifier regularization techniques are shown. This book is dedicated to surface as well as volume geology with potential data primarily of terrestrial origin. For deep geology, the geomathematical decorrelation methods are to be designed in such a way that depth information (e.g., in boreholes) may be canonically entered. Bridging several different geo-disciplines, this book leads in a cycle from the potential measurements made by geoengineers, to the cleansing of data by geophysicists and geoengineers, to the subsequent theory and model formation, computer-based implementation, and numerical calculation and simulations made by geomathematicians, to interpretation by geologists, and, if necessary, back. It therefore spans the spectrum from geoengineering, especially geodesy, via geophysics to geomathematics and geology, and back. Using the German Saarland area for methodological tests, important new fields of application are opened, particularly for regions with mining-related cavities or dense development in today's geo-exploration.
Recent Developments In The Geodetic Boundary Value Problem
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Author : Helmut Moritz
language : en
Publisher:
Release Date : 1977
Recent Developments In The Geodetic Boundary Value Problem written by Helmut Moritz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Boundary value problems categories.
The report reviews progress in the mathematical formulation and treatment of the geodetic boundary-value problem, in particular, the existence and uniqueness theorems of L. Hormander and the gravity space approach due to F. Sanso. The method of Hormander uses a very advanced inverse function theorem of nonlinear functional analysis. Sanso has transformed Molodensky's free boundary-value problem into a fixed boundary-value problem in gravity space, thereby essentially reducing the mathematical complexity. As a linear approximation, the gravity space approach gives identical superior for treating questions of existence and uniqueness of the solution, although it is restricted to the pure gravitational case without centrifugal force. (Author).
Spherical Functions Of Mathematical Geosciences
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Author : Willi Freeden
language : en
Publisher: Springer Nature
Release Date : 2022-10-14
Spherical Functions Of Mathematical Geosciences written by Willi Freeden and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-14 with Science categories.
This book is an enlarged second edition of a monograph published in the Springer AGEM2-Series, 2009. It presents, in a consistent and unified overview, a setup of the theory of spherical functions of mathematical (geo-)sciences. The content shows a twofold transition: First, the natural transition from scalar to vectorial and tensorial theory of spherical harmonics is given in a coordinate-free context, based on variants of the addition theorem, Funk-Hecke formulas, and Helmholtz as well as Hardy-Hodge decompositions. Second, the canonical transition from spherical harmonics via zonal (kernel) functions to the Dirac kernel is given in close orientation to an uncertainty principle classifying the space/frequency (momentum) behavior of the functions for purposes of data analysis and (geo-)application. The whole palette of spherical functions is collected in a well-structured form for modeling and simulating the phenomena and processes occurring in the Earth's system. The result is a work which, while reflecting the present state of knowledge in a time-related manner, claims to be of largely timeless significance in (geo-)mathematical research and teaching.
Geoid And Its Geophysical Interpretations
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Author : Mr. Petr Vanicek
language : en
Publisher: CRC Press
Release Date : 2020-09-23
Geoid And Its Geophysical Interpretations written by Mr. Petr Vanicek and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-23 with Science categories.
Geoid and its Geophysical Interpretations explains how an accurate geoid can be constructed and used for a variety of applied and theoretical geophysical purposes. The book discusses existing techniques for geoid computation, recently developed mathematical and computational tools designed for applications, and various interpretations. Principles and results are well illustrated. This book will be an excellent reference for geodesists, geophysicists, geophysical prospectors, oceanographers, and researchers and students in geophysics and geodesy.
Iv Hotine Marussi Symposium On Mathematical Geodesy
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Author : Battista Benciolini
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Iv Hotine Marussi Symposium On Mathematical Geodesy written by Battista Benciolini and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Based on the IV Hotine-Marussi Symposium held in Trento, the volume covers three important topics: boundary value problems, satellite geodesy and stochastic methods in geodesy. The first part deals with boundary value problems which are tackled from both the theoretical and the numerical point of view. The part on satellite geodesy deals with the simulation of the GOCE mission, the integration of satellite gradiometry and airborne gravity for gravity-filed recovery, satellite-to-satellite tracking and orbit sensitivity analysis. Various applied and theoretical contributions are devoted to the stochastic methods applied to geodesy. The book presents the state-of-the-art of the main topics in the theoretical and methodological aspects of geodesy.