Multiscale potential theory : with applications to geoscience
著者
書誌事項
Multiscale potential theory : with applications to geoscience
(Applied and numerical harmonic analysis / series editor, John J. Benedetto)
Birkhäuser, c2004
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注記
Includes bibliographical references (p. 483-500) and index
内容説明・目次
内容説明
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.
目次
Preface Introduction Preliminary Tools Part I: Well-Posed Problems Boundary-Value Problems of Potential Theory Boundary-Value Problems of Elasticity Part II: Ill-Posed Problems Satellite Problems The Gravimetry Problem Conclusion Hints for the Solutions of the Exercises References Index
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