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On a new characterization of finite jump discontinuities and its application to vertical fault detection

Author

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  • López de Silanes, María Cruz
  • Parra, María Cruz
  • Torrens, Juan José

Abstract

The purpose of this paper is to give a new characterization of the finite jump discontinuities of multivariate functions, in terms of the divergence of sequences related to the gradients of discrete least-squares polynomial approximations of the function. We also consider how this result can be applied to vertical fault detection.

Suggested Citation

  • López de Silanes, María Cruz & Parra, María Cruz & Torrens, Juan José, 2008. "On a new characterization of finite jump discontinuities and its application to vertical fault detection," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(2), pages 247-256.
    • Handle: RePEc:eee:matcom:v:77:y:2008:i:2:p:247-256
    DOI: 10.1016/j.matcom.2007.08.008
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    Cited by:

    1. Lenarduzzi, Licia & Schaback, Robert, 2017. "Kernel-based adaptive approximation of functions with discontinuities," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 113-123.
    2. Izquierdo, Diego & de Silanes, María Cruz López & Parra, María Cruz & Torrens, Juan José, 2014. "CS-RBF interpolation of surfaces with vertical faults from scattered data," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 102(C), pages 11-23.

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