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Some Applications of the Mollification Method

  • C. E. Mejía
  • D. A. Murio
  • S. Zhan

Abstract

The Mollification Method is a filtering procedure that is appropriate for the regularization of a variety of ill-posed problems. In this review, we briefly introduce the method, including its main feature, which is its ability to automatically select regularization parameters. After this introduction, we present several applications of the method, illustrated with numerical examples. Most of these applications are the subject of our current research.

Keywords

Heat Flux Finite Difference Scheme Discrete Function Numerical Differentiation Mollification Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • C. E. Mejía
    • 1
  • D. A. Murio
    • 2
  • S. Zhan
    • 2
  1. 1.Departamento de MatemáticasUniversidad Nacional de ColombiaMedellinColombia
  2. 2.Department of Mathematical SciencesUniversity of CincinnatiCincinnatiUSA

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