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Description
  • In the paper, we propose a construction of new cubic spline-wavelet bases on the unit cube satisfying homogeneous Dirichlet boundary conditions of the second order. The basis functions have small supports and wavelets have vanishing moments. 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. We present quantitative properties of the constructed bases and we show a superiority of our construction in comparison to some other cubic spline wavelet bases satisfying boundary conditions of the same type.
  • In the paper, we propose a construction of new cubic spline-wavelet bases on the unit cube satisfying homogeneous Dirichlet boundary conditions of the second order. The basis functions have small supports and wavelets have vanishing moments. 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. We present quantitative properties of the constructed bases and we show a superiority of our construction in comparison to some other cubic spline wavelet bases satisfying boundary conditions of the same type. (en)
Title
  • Cubic spline wavelets with short support for fourth-order problems
  • Cubic spline wavelets with short support for fourth-order problems (en)
skos:prefLabel
  • Cubic spline wavelets with short support for fourth-order problems
  • Cubic spline wavelets with short support for fourth-order problems (en)
skos:notation
  • RIV/46747885:24510/14:#0001119!RIV15-MSM-24510___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S
http://linked.open...iv/cisloPeriodika
  • 15 September
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 9361
http://linked.open...ai/riv/idVysledku
  • RIV/46747885:24510/14:#0001119
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Wavelet; Cubic spline; Homogeneous Dirichlet boundary conditions; Condition number; Biharmonic problem (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [F97C29BA52AC]
http://linked.open...i/riv/nazevZdroje
  • APPLIED MATHEMATICS AND COMPUTATION
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 243
http://linked.open...iv/tvurceVysledku
  • Finěk, Václav
  • Černá, Dana
http://linked.open...ain/vavai/riv/wos
  • 000340563800005
issn
  • 0096-3003
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.amc.2014.05.065
http://localhost/t...ganizacniJednotka
  • 24510
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