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Description
  • In our contribution, we design a cubic spline-wavelet basis on the interval. The basis functions have small support and wavelets have vanishing moments. We show that stiffness matrices arising from discretization of the two-dimensional biharmonic problem using a constructed wavelet basis have uniformly bounded condition numbers and these condition numbers are very small. We compare quantitative behavior of adaptive wavelet method with a constructed basis and other cubic spline-wavelet bases, and show the superiority of our construction.
  • In our contribution, we design a cubic spline-wavelet basis on the interval. The basis functions have small support and wavelets have vanishing moments. We show that stiffness matrices arising from discretization of the two-dimensional biharmonic problem using a constructed wavelet basis have uniformly bounded condition numbers and these condition numbers are very small. We compare quantitative behavior of adaptive wavelet method with a constructed basis and other cubic spline-wavelet bases, and show the superiority of our construction. (en)
Title
  • Adaptive Solution of the Biharmonic Problem with Shortly Supported Cubic Spline-Wavelets
  • Adaptive Solution of the Biharmonic Problem with Shortly Supported Cubic Spline-Wavelets (en)
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  • Adaptive Solution of the Biharmonic Problem with Shortly Supported Cubic Spline-Wavelets
  • Adaptive Solution of the Biharmonic Problem with Shortly Supported Cubic Spline-Wavelets (en)
skos:notation
  • RIV/46747885:24510/12:#0000818!RIV13-MSM-24510___
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  • 121059
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  • RIV/46747885:24510/12:#0000818
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  • spline wavelet; construction; adaptive method; condition number (en)
http://linked.open.../riv/klicoveSlovo
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  • [472BD79EA5F8]
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  • Kos, Greece
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  • AIP Conference Proceedings
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  • Finěk, Václav
  • Černá, Dana
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  • 310698100332
http://linked.open.../riv/zahajeniAkce
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  • American Institute of Physics
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  • 978-0-7354-1091-6
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  • 24510
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