Buch, Englisch, 510 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 957 g
With Applications to Geoscience
Buch, Englisch, 510 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 957 g
Reihe: Applied and Numerical Harmonic Analysis
ISBN: 978-0-8176-4105-4
Verlag: Birkhäuser Boston
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Angewandte Physik Geophysik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
- Geowissenschaften Geographie | Raumplanung Geostatistik
Weitere Infos & Material
1 Introduction.- 2 Preliminary Tools.- 2.1 Basic Settings.- 2.2 Spherical Nomenclature.- 2.3 Sphere Oriented Potential Theory.- 2.4 Exercises.- I Well-Posed Problems.- 3 Boundary-Value Problems of Potential Theory.- 4 Boundary-Value Problems of Elasticity.- II Ill-Posed Problems.- 5 Satellite Problems.- 6 The Gravimetry Problem.- 7 Conclusion.- 8 Hints for the Solution of the Exercises.- References.
