Multiscale Potential Theory
With Applications to Geoscience
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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.
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
- Exercises at the end of each chapter and an appendix with hints to their solutions
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
- Exercises at the end of each chapter and an appendix with hints to their solutions
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