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Description
  • In the paper, we propose constructions of new quadratic spline-wavelet bases on the interval and the unit square satisfying homogeneous Dirichlet boundary conditions of the second order. The basis functions have small supports and wavelets have one vanishing moment. We show that stiffness matrices arising from discretization of the biharmonic problem using a constructed wavelet basis have uniformly bounded condition numbers and these condition numbers are very small.
  • In the paper, we propose constructions of new quadratic spline-wavelet bases on the interval and the unit square satisfying homogeneous Dirichlet boundary conditions of the second order. The basis functions have small supports and wavelets have one vanishing moment. We show that stiffness matrices arising from discretization of the biharmonic problem using a constructed wavelet basis have uniformly bounded condition numbers and these condition numbers are very small. (en)
Title
  • Quadratic Spline Wavelets with Short Support for Fourth-Order Problems
  • Quadratic Spline Wavelets with Short Support for Fourth-Order Problems (en)
skos:prefLabel
  • Quadratic Spline Wavelets with Short Support for Fourth-Order Problems
  • Quadratic Spline Wavelets with Short Support for Fourth-Order Problems (en)
skos:notation
  • RIV/46747885:24510/14:#0001120!RIV15-MSM-24510___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(EE.2.3.20.0086)
http://linked.open...iv/cisloPeriodika
  • 3-4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 40997
http://linked.open...ai/riv/idVysledku
  • RIV/46747885:24510/14:#0001120
http://linked.open...riv/jazykVysledku
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  • Wavelet; Quadratic spline; homogeneous Dirichlet boundary conditions; condition number; biharmonic equation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CH - Švýcarská konfederace
http://linked.open...ontrolniKodProRIV
  • [D0AA05572ADE]
http://linked.open...i/riv/nazevZdroje
  • RESULTS IN MATHEMATICS
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http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 66
http://linked.open...iv/tvurceVysledku
  • Finěk, Václav
  • Černá, Dana
http://linked.open...ain/vavai/riv/wos
  • 000344346500015
issn
  • 1422-6383
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s00025-014-0402-6
http://localhost/t...ganizacniJednotka
  • 24510
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