Multiscale Potential Theory: With Applications to Geoscience (Applied and Numerical Harmonic Analysis)
Language: English
Published by BirkhAuser Boston 2004-01-01, 2004
- Softcover
- New
Seller: Chiron Media, Wallingford, United KingdomChiron Media
AbeBooks seller since August 2, 2010
Condition: New
£ 47.86
Quantity: 10 available
Add to basketSeller Inventory # 6666-IUK-9781461273950
- Title
- Multiscale Potential Theory: With Applications to Geoscience (Applied and Numerical Harmonic Analysis)
- Author
- Willi Freeden Volker Michel
- Publisher
- BirkhAuser Boston 2004-01-01
- Publication year
- 2004
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1461273951
- ISBN 13
- 9781461273950
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
This self-contained book provides a basic foundation for students, practitioners, and researchers interested in some of the diverse new areas of multiscale (geo)potential theory. New mathematical methods are developed enabling the gravitational potential of a planetary body to be modeled and analyzed using a continuous flow of observations from land or satellite devices. Harmonic wavelet methods are introduced, as well as fast computational schemes and various numerical test examples.
The work is divided into two main parts: Part I treats well-posed boundary-value problems of potential theory and elasticity; Part II examines ill-posed problems such as satellite-to-satellite tracking, satellite gravity gradiometry, and gravimetry. Both sections demonstrate how multiresolution representations yield Runge–Walsh type solutions that are both accurate in approximation and tractable in computation.
Topic and key features:
* Comprehensive coverage of topics which, thus far, are only scattered in journal articles and conference proceedings
* Important applications and developments for future satellite scenarios; new modelling techniques involving low-orbiting satellites
* Multiscale approaches for numerous geoscientific problems, including geoidal determination, magnetic field reconstruction, deformation analysis, and density variation modelling
* Multilevel stabilization procedures for regularization
* Treatment of the real Earth’s shape as well as a spherical Earth model
* Modern methods of constructive approximation
* Exercises at the end of each chapter and an appendix with hints to their solutions
Models and methods presented show how various large- and small-scale processes may be addressed by a single geoscientific modelling framework for potential determination. Multiscale Potential Theory may be used as a textbook for graduate-level courses ingeomathematics, applied mathematics, and geophysics. The book is also an up-to-date reference text for geoscientists, applied mathematicians, and engineers.
"About the title" may belong to another edition of this title.
Chiron Media
Wallingford, United Kingdom
AbeBooks seller since August 2, 2010
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