Multiscale Potential Theory
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Multiscale Potential Theory
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Author : Willi Freeden
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-09-21
Multiscale Potential Theory written by Willi Freeden 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 2004-09-21 with Mathematics categories.
This self-contained text/reference provides a basic foundation for practitioners, researchers, and students interested in any of the diverse areas of multiscale (geo)potential theory. New mathematical methods are developed enabling the gravitational potential of a planetary body to be modeled using a continuous flow of observations from land or satellite devices. Harmonic wavelets methods are introduced, as well as fast computational schemes and various numerical test examples. Presented are multiscale approaches for numerous geoscientific problems, including geoidal determination, magnetic field reconstruction, deformation analysis, and density variation modelling With exercises at the end of each chapter, the book may be used as a textbook for graduate-level courses in geomathematics, applied mathematics, and geophysics. The work is also an up-to-date reference text for geoscientists, applied mathematicians, and engineers.
Geomathematically Oriented Potential Theory
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Author : Willi Freeden
language : en
Publisher: CRC Press
Release Date : 2012-10-30
Geomathematically Oriented Potential Theory written by Willi Freeden and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-30 with Mathematics categories.
As the Earth`s surface deviates from its spherical shape by less than 0.4 percent of its radius and today's satellite missions collect their gravitational and magnetic data on nearly spherical orbits, sphere-oriented mathematical methods and tools play important roles in studying the Earth's gravitational and magnetic field. Geomathematically Orien
Multiscale Methods
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Author : Grigoris Pavliotis
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-18
Multiscale Methods written by Grigoris Pavliotis 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 2008-01-18 with Mathematics categories.
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and s- bolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook - ries is to meet the current and future needs of these advances and to encourage the teaching of new couses. TAM will publish textbooks suitable for use in advanced undergraduate and - ginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research-level mo- graphs. Pasadena, California J.E. Marsden New York, New York L. Sirovich College Park, Maryland S.S. Antman To my parentsA????? and?o?????? and to my brother?????o. Carry Home.????o???. For my children Natalie, Sebastian, and Isobel.
Combining Simulations Theory And Experiments Into Multiscale Models Of Biological Events
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Author : Fabio Trovato
language : en
Publisher: Frontiers Media SA
Release Date : 2022-01-11
Combining Simulations Theory And Experiments Into Multiscale Models Of Biological Events written by Fabio Trovato and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-11 with Science categories.
Getting Acquainted With Homogenization And Multiscale
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Author : Leonid Berlyand
language : en
Publisher: Springer
Release Date : 2018-11-22
Getting Acquainted With Homogenization And Multiscale written by Leonid Berlyand and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-22 with Mathematics categories.
The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. An overview of a wide spectrum of homogenization techniques ranging from classical two-scale asymptotic expansions to Gamma convergence and the rapidly developing field of stochastic homogenization is presented. The mathematical proofs and definitions are supplemented with intuitive explanations and figures to make them easier to follow. A blend of mathematics and examples from materials science and engineering is designed to teach a mixed audience of mathematical and non-mathematical students.
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.
Recovery Methodologies Regularization And Sampling
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Author : Willi Freeden
language : en
Publisher: American Mathematical Society
Release Date : 2023-08-21
Recovery Methodologies Regularization And Sampling written by Willi Freeden and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-21 with Mathematics categories.
The goal of this book is to introduce the reader to methodologies in recovery problems for objects, such as functions and signals, from partial or indirect information. The recovery of objects from a set of data demands key solvers of inverse and sampling problems. Until recently, connections between the mathematical areas of inverse problems and sampling were rather tenuous. However, advances in several areas of mathematical research have revealed deep common threads between them, which proves that there is a serious need for a unifying description of the underlying mathematical ideas and concepts. Freeden and Nashed present an integrated approach to resolution methodologies from the perspective of both these areas. Researchers in sampling theory will benefit from learning about inverse problems and regularization methods, while specialists in inverse problems will gain a better understanding of the point of view of sampling concepts. This book requires some basic knowledge of functional analysis, Fourier theory, geometric number theory, constructive approximation, and special function theory. By avoiding extreme technicalities and elaborate proof techniques, it is an accessible resource for students and researchers not only from applied mathematics, but also from all branches of engineering and science.
Dynamics Of Multiscale Earth Systems
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Author : Horst J. Neugebauer
language : en
Publisher: Springer
Release Date : 2008-01-26
Dynamics Of Multiscale Earth Systems written by Horst J. Neugebauer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-26 with Science categories.
In many aspects science becomes conducted nowadays through technology and preferential criteria of economy. Thus investigation and knowledge is evidently linked to a speci?c purpose. Especially Earth science is confronted with two major human perspectives concerning our natural environment:sustainability of resources and assessment of risks. Both aspects are expressing urgent needs of the living society, but in the same way those needs are addressing a long lasting fundamental challenge which has so far not been met. Following on the patterns of economy and technology, the key is presumed to be found through a devel- mentoffeasibleconceptsforamanagement ofbothournaturalenvironmentand in one or the other way the realm of life. Although new techniques for obser- tion and analysis led to an increase of rather speci?c knowledge about particular phenomena, yet we fail now even more frequently to avoid unforeseen impli- tions and sudden changes of a situation. Obviously the improved technological tools and the assigned expectations on a management of nature still exceed our traditional scienti?c experience and accumulated competence. Earth- and Life- Sciences are nowadays exceedingly faced with the puzzling nature of an almost boundless network of relations, i. e. , the complexity of phenomena with respect to their variability. The disciplinary notations and their particular approaches arethusnolongeraccountingsu?cientlyfortherecordedcontextofphenomena, for their permanent variability and their unpredictable implications. The large environmental changes of glacial climatic cycles, for instance, demonstrate this complexity of such a typical phenomenology.
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.
V Hotine Marussi Symposium On Mathematical Geodesy
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Author : Fernando Sansò
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
V Hotine Marussi Symposium On Mathematical Geodesy written by Fernando Sansò 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 2013-03-09 with Science categories.
Just as in the era of great achievements by scientists such as Newton and Gauss, the mathematical theory of geodesy is continuing the tradition of producing exciting theoretical results, but today the advances are due to the great technological push in the era of satellites for earth observations and large computers for calculations. Every four years a symposium on methodological matters documents this ongoing development in many related underlying areas such as estimation theory, stochastic modelling, inverse problems, and satellite-positioning global-reference systems. This book presents developments in geodesy and related sciences, including applied mathematics, among which are many new results of high intellectual value to help readers stay on top of the latest happenings in the field.