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Volume 4, Issue 1
Weakly Admissible Meshes and Discrete Extremal Sets

Len Bos, Stefano De Marchi, Alvise Sommariva & Marco Vianello

DOI: 10.4208/nmtma.2011.m1003

Numer. Math. Theor. Meth. Appl., 4 (2011), pp. 1-12.

Published online: 2011-04

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  • Abstract

We present a brief survey on (Weakly) Admissible Meshes and corresponding Discrete Extremal Sets, namely Approximate Fekete Points and Discrete Leja Points. These provide new computational tools for polynomial least squares and interpolation on multidimensional compact sets, with different applications such as numerical cubature, digital filtering, spectral and high-order methods for PDEs.

  • Keywords

Weakly admissible meshes, Approximate Fekete points, Discrete Leja points

  • AMS Subject Headings

65D05, 65D32

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{NMTMA-4-1, author = {Len Bos, Stefano De Marchi, Alvise Sommariva and Marco Vianello}, title = {Weakly Admissible Meshes and Discrete Extremal Sets}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2011}, volume = {4}, number = {1}, pages = {1--12}, abstract = {

We present a brief survey on (Weakly) Admissible Meshes and corresponding Discrete Extremal Sets, namely Approximate Fekete Points and Discrete Leja Points. These provide new computational tools for polynomial least squares and interpolation on multidimensional compact sets, with different applications such as numerical cubature, digital filtering, spectral and high-order methods for PDEs.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2011.m1003}, url = {http://global-sci.org/intro/article_detail/nmtma/5955.html} }
TY - JOUR T1 - Weakly Admissible Meshes and Discrete Extremal Sets AU - Len Bos, Stefano De Marchi, Alvise Sommariva & Marco Vianello JO - Numerical Mathematics: Theory, Methods and Applications VL - 1 SP - 1 EP - 12 PY - 2011 DA - 2011/04 SN - 4 DO - http://doi.org/10.4208/nmtma.2011.m1003 UR - https://global-sci.org/intro/article_detail/nmtma/5955.html KW - Weakly admissible meshes, Approximate Fekete points, Discrete Leja points AB -

We present a brief survey on (Weakly) Admissible Meshes and corresponding Discrete Extremal Sets, namely Approximate Fekete Points and Discrete Leja Points. These provide new computational tools for polynomial least squares and interpolation on multidimensional compact sets, with different applications such as numerical cubature, digital filtering, spectral and high-order methods for PDEs.

Len Bos, Stefano De Marchi, Alvise Sommariva and Marco Vianello. (2011). Weakly Admissible Meshes and Discrete Extremal Sets. Numerical Mathematics: Theory, Methods and Applications. 4 (1). 1-12. doi:10.4208/nmtma.2011.m1003
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