\`x^2+y_1+z_12^34\`
Advanced Search
Advanced Search
Advanced Search
This issue Previous Article Next Article
Article Contents
Article Contents
2009, Volume 8, Issue 1: 383-404. Doi: 10.3934/cpaa.2009.8.383
This issue Previous Article Conditional Stability and Numerical Reconstruction of Initial Temperature Next Article A note on the one-side exact boundary controllability for quasilinear hyperbolic systems

A general multipurpose interpolation procedure: the magic points

  • 1.

    UPMC Univ Paris 06,UMR 7598, Laboratoire Jacques-Louis Lions, F-75005, Paris, Division of Applied Mathematics, Brown University, Providence, RI

  • 2.

    Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge MA02139

  • 3.

    Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge MA02139

  • 4.

    Center for Computational Sciences and Engineering, Lawrence Berkeley National Laboratory, Berkeley CA94720

Received:  June 30, 2008
Revised:  August 31, 2008
Published:  December 2008
Abstract Related Papers Cited by
    Abstract
  • Lagrangian interpolation is a classical way to approximate general functions by finite sums of well chosen, pre-defined, linearly independent interpolating functions; it is much simpler to implement than determining the best fits with respect to some Banach (or even Hilbert) norms. In addition, only partial knowledge is required (here values on some set of points). The problem of defining the best sample of points is nevertheless rather complex and is in general open. In this paper we propose a way to derive such sets of points. We do not claim that the points resulting from the construction explained here are optimal in any sense. Nevertheless, the resulting interpolation method is proven to work under certain hypothesis, the process is very general and simple to implement, and compared to situations where the best behavior is known, it is relatively competitive.
    Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

    Citation:
    shu

    \begin{equation} \\ \end{equation}
    • Related Papers
  • Cited by
  • Access History
  • 加载中
PDF
XML
Export Citation
SHARE
Email to a Friend

Article Metrics

HTML views() PDF downloads(324) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return
    Site map Copyright © 2023 American Institute of Mathematical Sciences