All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

The Construction of Well-Conditioned Wavelet Basis Based on Quadratic B-Splines

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F12%3A%230000816" target="_blank" >RIV/46747885:24510/12:#0000816 - isvavai.cz</a>

  • Result on the web

    <a href="http://proceedings.aip.org" target="_blank" >http://proceedings.aip.org</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    The Construction of Well-Conditioned Wavelet Basis Based on Quadratic B-Splines

  • Original language description

    The design of most adaptive wavelet methods for solving differential equations follows a general concept proposed by A. Cohen, W. Dahmen, and R. DeVore. The essential steps are: to transform the variational formulation into the well-conditioned infinite-dimensional l2-problem, to find the convergent iteration process for this infinite-dimensional l2-problem and finally to derive its finite-dimensional approximation which works with an inexact right hand-side and an approximate matrix-vector multiplication. It should provide an approximation of the unknown solution up to a given target accuracy epsilon. To perform this scheme efficiently, it is necessary to have at one's disposal suitable wavelet bases which fit well into this concept. Wavelets should have short supports and vanishing moments, be smooth and known in closed form, and a corresponding wavelet basis should be well-conditioned. In our contribution, we propose a quadratic wavelet basis adapted to the interval [0,1] which pres

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2012

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    AIP Conference Proceedings

  • ISBN

    9780735410916

  • ISSN

  • e-ISSN

  • Number of pages

    4

  • Pages from-to

    230-233

  • Publisher name

    American Institute of Physics

  • Place of publication

    New York

  • Event location

    Kos, Greece

  • Event date

    Jan 1, 2012

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    310698100055