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Multiscale Potential Theory

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 483/5 ( reviews)

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Book Synopsis Multiscale Potential Theory by : Willi Freeden

Download or read book Multiscale Potential Theory written by Willi Freeden. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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

2012-10-30 Mathematics
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Release : 2012-10-30
Genre : Mathematics
Kind : eBook
Book Rating : 422/5 ( reviews)

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Book Synopsis Geomathematically Oriented Potential Theory by : Willi Freeden

Download or read book Geomathematically Oriented Potential Theory written by Willi Freeden. This book was released on 2012-10-30. Available in PDF, EPUB and Kindle. Book excerpt: 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 Oriented Potential Theory presents the principles of space and surface potential theory involving Euclidean and spherical concepts. The authors offer new insight on how to mathematically handle gravitation and geomagnetism for the relevant observables and how to solve the resulting potential problems in a systematic, mathematically rigorous framework. The book begins with notational material and the necessary mathematical background. The authors then build the foundation of potential theory in three-dimensional Euclidean space and its application to gravitation and geomagnetism. They also discuss surface potential theory on the unit sphere along with corresponding applications. Focusing on the state of the art, this book breaks new geomathematical grounds in gravitation and geomagnetism. It explores modern sphere-oriented potential theoretic methods as well as classical space potential theory.

Computational Multiscale Modeling of Fluids and Solids

2008 Science
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Release : 2008
Genre : Science
Kind : eBook
Book Rating : 165/5 ( reviews)

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Book Synopsis Computational Multiscale Modeling of Fluids and Solids by : Martin Oliver Steinhauser

Download or read book Computational Multiscale Modeling of Fluids and Solids written by Martin Oliver Steinhauser. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: The idea of the book is to provide a comprehensive overview of computational physics methods and techniques, that are used for materials modeling on different length and time scales. Each chapter first provides an overview of the physical basic principles which are the basis for the numerical and mathematical modeling on the respective length-scale. The book includes the micro-scale, the meso-scale and the macro-scale. The chapters follow this classification. The book will explain in detail many tricks of the trade of some of the most important methods and techniques that are used to simulate materials on the perspective levels of spatial and temporal resolution. Case studies are occasionally included to further illustrate some methods or theoretical considerations. Example applications for all techniques are provided, some of which are from the author’s own contributions to some of the research areas. Methods are explained, if possible, on the basis of the original publications but also references to standard text books established in the various fields are mentioned.

Multiscale Methods in Quantum Mechanics

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 023/5 ( reviews)

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Book Synopsis Multiscale Methods in Quantum Mechanics by : Philippe Blanchard

Download or read book Multiscale Methods in Quantum Mechanics written by Philippe Blanchard. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores multiscale methods as applied to various areas of physics and to the relative developments in mathematics. In the last few years, multiscale methods have lead to spectacular progress in our understanding of complex physical systems and have stimulated the development of very refined mathematical techniques. At the same time on the experimental side, equally spectacular progress has been made in developing experimental machinery and techniques to test the foundations of quantum mechanics.

Handbook of Mathematical Geodesy

2018-06-11 Mathematics
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Release : 2018-06-11
Genre : Mathematics
Kind : eBook
Book Rating : 818/5 ( reviews)

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Book Synopsis Handbook of Mathematical Geodesy by : Willi Freeden

Download or read book Handbook of Mathematical Geodesy written by Willi Freeden. This book was released on 2018-06-11. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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