Spectra of Multiplication Operators as a Numerical Tool

نویسندگان

  • Bogdan Vioreanu
  • Vladimir Rokhlin
چکیده

ture formulae on bounded convex regions in the plane. The construction is based on the behavior of spectra of certain multiplication operators and leads to nodes which are inside a prescribed convex region in R. The resulting interpolation schemes are numerically stable and the quadrature formulae have positive weights and almost (but not quite) optimal numbers of nodes. The performance of the algorithm is illustrated by several numerical examples.

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عنوان ژورنال:
  • SIAM J. Scientific Computing

دوره 36  شماره 

صفحات  -

تاریخ انتشار 2014