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Handbook of Geomathematics pp 1689–1711Cite as

Multiparameter Regularization in Downward Continuation of Satellite Data

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Abstract

This chapter discusses the downward continuation of the spaceborne gravity data. We analyze the ill-posed nature of this problem and describe some approaches to its treatment. This chapter focuses on the multiparameter regularization approach and show how it can naturally appear in the geodetic context in the form of the regularized total least squares or the dual regularized total least squares, for example. The numerical illustrations with synthetic data demonstrate that multiparameter regularization can indeed produce a good accuracy approximation.

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Acknowledgements

The authors are supported by the Austrian Fonds Zur Förderung der Wissenschaftlichen Forschung (FWF), Grant P20235-N18.

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Authors and Affiliations

  1. Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria

    Shuai Lu & Sergei V. Pereverzev

Authors
  1. Shuai Lu
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  2. Sergei V. Pereverzev
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Corresponding author

Correspondence to Shuai Lu .

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Editors and Affiliations

  1. Geomathematics Group, University of Kaiserslautern, Kaiserslautern, Germany

    Willi Freeden

  2. Department of Mathematics, University of Central Florida, Orlando, Florida, USA

    M. Zuhair Nashed

  3. Computational Mathematics, Technische Universität Braunschweig, Braunschweig, Germany

    Thomas Sonar

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Lu, S., Pereverzev, S.V. (2015). Multiparameter Regularization in Downward Continuation of Satellite Data. In: Freeden, W., Nashed, M., Sonar, T. (eds) Handbook of Geomathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54551-1_27

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