Polynomial mechanics via wavelets

被引：0
|
作者：
Fedorova, AN
Zeitlin, MG
机构：
来源：
CONTROL OF OSCILLATIONS AND CHAOS - 1997 1ST INTERNATIONAL CONFERENCE, PROCEEDINGS, VOLS 1-3 | 1997年
关键词：
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper we present applications of methods from wavelet analysis to polynomial approximations for a number of nonlinear problems. In the general case we have the solution as a multiresolution expansion in the base of compactly supported wavelet basis. The solution is parametrized by solutions of two reduced algebraical problems, one is nonlinear and the second is some linear problem, which is obtained from one of the next wavelet constructions: Fast Wavelet Transform, Stationary Subdivision Schemes, the method of Connection Coefficients.
引用
收藏
页码：159 / 160
页数：2
相关论文
共 50 条
  • [31] Graph Wavelets via Sparse Cuts
    Silva, Arlei
    Dang, Xuan-Hong
    Basu, Prithwish
    Singh, Ambuj
    Swami, Ananthram
    KDD'16: PROCEEDINGS OF THE 22ND ACM SIGKDD INTERNATIONAL CONFERENCE ON KNOWLEDGE DISCOVERY AND DATA MINING, 2016, : 1175 - 1184
  • [32] Model reduction via Haar wavelets
    Wu, J.L.
    Chen, C.H.
    Chen, C.F.
    Control and Intelligent Systems, 2001, 29 (02) : 29 - 32
  • [33] HREELS signal processing via wavelets
    Charles, C
    Leclerc, G
    Rasson, JP
    Pireaux, JJ
    SURFACE AND INTERFACE ANALYSIS, 2004, 36 (01) : 61 - 70
  • [34] Polynomial wavelets in hybrid-mixed stress finite element models
    Santos Castro, Luis Manuel
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, 2010, 26 (10) : 1293 - 1312
  • [35] Nonlinear Graph Wavelets via Medianfication
    Tay, David B.
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2023, 71 : 2744 - 2759
  • [36] Flicker representation via STFT and wavelets
    Nassif, Alexandre B.
    Tayjasanant, Thavatchai
    2006 POWER ENGINEERING SOCIETY GENERAL MEETING, VOLS 1-9, 2006, : 2106 - +
  • [37] Orthonormal polynomial wavelets on the interval and applications to the analysis of turbulent flow fields
    Fröhlich, J
    Uhlmann, M
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2003, 63 (05) : 1789 - 1830
  • [38] Stochastic fracture mechanics using polynomial chaos
    Beck, Andre Teofilo
    de Santana Gomes, Wellison Jose
    PROBABILISTIC ENGINEERING MECHANICS, 2013, 34 : 26 - 39
  • [39] Polynomial supersymmetry and dynamical symmetries in quantum mechanics
    Andrianov, AA
    Ioffe, MV
    Nishnianidze, DN
    THEORETICAL AND MATHEMATICAL PHYSICS, 1995, 104 (03) : 1129 - 1140
  • [40] Polynomial invariants for trees - A statistical mechanics approach
    Conti, R
    Contucci, P
    Falcolini, C
    DISCRETE APPLIED MATHEMATICS, 1998, 81 (1-3) : 225 - 237
12345