Multiscale Potential Theory: With Applications to Geoscience (Applied and Numerical Harmonic Analysis)

by Willi Freeden and Volker Michel

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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.

  • ISBN13 9781461273950
  • Publish Date 12 October 2011 (first published 21 September 2004)
  • Publish Status Active
  • Publish Country US
  • Imprint Springer-Verlag New York Inc.
  • Edition Softcover reprint of the original 1st ed. 2004
  • Format Paperback
  • Pages 510
  • Language English