期刊文献+

插值小波自适应求解二维双曲型偏微分方程

Self-Adaptively Solving Two-Dimensional Hyperbolic PDEs Using Interpolating Wavelets
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摘要 借助插值小波理论,构造了用插值小波求解二维双曲偏微分方程的自适应算法。该算法可用于求解带有奇异性和瞬时突变性的一类偏微分方程。 By means of interpolating wavelets theory, we construct an self-adaptive algorithm to solve twodimensional hyperbolic PDEs. The numerical experiments show the method is efficienct when it is applied to problems where solutions are smooth in most of the domain with small areas of sharp variations.
出处 《北方工业大学学报》 2004年第3期27-31,共5页 Journal of North China University of Technology
关键词 插值小波 自适应性 二维双曲偏微分方程 奇异性 瞬时突变性 interpolating wavelets self-adaptability two-dimensional hyperbolic PDEs
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参考文献4

  • 1Gregory Beylkin,naoki Saito.Multiresolution representation using the auto-correlation of compactly wavelets.IEEE Transaction on Signal Processing,1993,41(12):354
  • 2Divid L.Donoho.Interpolating wavelet transforms.Technical Report 408,Dept.of Statistics Stanford University,November.1992
  • 3Fredrik Olsson,N.Anders Petersson.Stability of interpolation on overlapping grids.Computers &Fluids,1996,25(6):583-605
  • 4傅晓玲.插值小波自适应求解双曲型偏微分方程[J].北方工业大学学报,2000,12(3):31-35. 被引量:6

二级参考文献2

  • 1Gregory Beylkin,Naoki Saito.Multiresolution representation using the auto-correlation of compactly wavelets[].IEEE Transactions on Signal Processing.1993
  • 2Fredrik Olsson,N.Anders Petersson.Stability of interpolation on overlapping grids[].Computers and Fluids.1996

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