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Description
  • We propose a new construction of a stable cubic spline-wavelet basis on the interval satisfying complementary boundary conditions of the second order. It means that the primal wavelet basis is adapted to homogeneous Dirichlet boundary conditions of the second order, while the dual wavelet basis preserves the full degree of polynomial exactness. We present quantitative properties of the constructed bases and we show superiority of our construction in comparison to some other known spline wavelet bases in an adaptive wavelet method for the partial differential equation with the biharmonic operator.
  • We propose a new construction of a stable cubic spline-wavelet basis on the interval satisfying complementary boundary conditions of the second order. It means that the primal wavelet basis is adapted to homogeneous Dirichlet boundary conditions of the second order, while the dual wavelet basis preserves the full degree of polynomial exactness. We present quantitative properties of the constructed bases and we show superiority of our construction in comparison to some other known spline wavelet bases in an adaptive wavelet method for the partial differential equation with the biharmonic operator. (en)
Title
  • Cubic spline wavelets with complementary boundary conditions
  • Cubic spline wavelets with complementary boundary conditions (en)
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  • Cubic spline wavelets with complementary boundary conditions
  • Cubic spline wavelets with complementary boundary conditions (en)
skos:notation
  • RIV/46747885:24510/12:#0000814!RIV13-MSM-24510___
http://linked.open...avai/riv/aktivita
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  • S
http://linked.open...iv/cisloPeriodika
  • 4
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  • 129212
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  • RIV/46747885:24510/12:#0000814
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  • Wavelet; Cubic spline; Complementary boundary conditions; Homogeneous Dirichlet boundary conditions; Condition number (en)
http://linked.open.../riv/klicoveSlovo
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  • US - Spojené státy americké
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  • [BCC9CB92DB3E]
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  • Applied Mathematics and Computation
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 219
http://linked.open...iv/tvurceVysledku
  • Finěk, Václav
  • Černá, Dana
http://linked.open...ain/vavai/riv/wos
  • 310504000042
issn
  • 0096-3003
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.amc.2012.08.027
http://localhost/t...ganizacniJednotka
  • 24510
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