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Volumn 5, Issue C, 1994, Pages 459-493

Parallel Numerical Algorithms with Orthonormal Wavelet Packet Bases

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EID: 85011596089     PISSN: 1874608X     EISSN: None     Source Type: Book Series    
DOI: 10.1016/B978-0-08-052084-1.50026-0     Document Type: Chapter
Times cited : (11)

References (18)
  • 1
    • 84966234195 scopus 로고
    • Parallel multilevel preconditioners
    • Bramble, J.H., Pasciak, J.E., Xu, J., Parallel multilevel preconditioners. Math. Comp. 55 (1990), 1–22.
    • (1990) Math. Comp. , vol.55 , pp. 1-22
    • Bramble, J.H.1    Pasciak, J.E.2    Xu, J.3
  • 2
    • 84990610636 scopus 로고
    • Fast wavelet transform and numerical algorithms I
    • Beylkin, G., Coifman, R., Rokhlin, V., Fast wavelet transform and numerical algorithms I. Comm. Pure Appl. Math. 44 (1991), 141–183.
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 141-183
    • Beylkin, G.1    Coifman, R.2    Rokhlin, V.3
  • 6
    • 84990575058 scopus 로고
    • Orthonormal bases of compactly supported wavelets
    • Daubechies, I., Orthonormal bases of compactly supported wavelets. Comm. Pure Appl. Math. 41 (1988), 909–996.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 909-996
    • Daubechies, I.1
  • 7
    • 0003833285 scopus 로고
    • SIAM Publ. CBMS-NSF Series in Applied Math. no. 61
    • Daubechies, I., Ten lectures on Wavelets, 1992, SIAM Publ. CBMS-NSF Series in Applied Math. no. 61.
    • (1992) Ten lectures on Wavelets
    • Daubechies, I.1
  • 8
    • 0003492031 scopus 로고
    • in Wavelets: A Tutorial in Theory and Applications, C. K. Chui (ed.)
    • Gopinath, R. A. and C. S. Burrus, Wavelet transforms and filter banks, in Wavelets: A Tutorial in Theory and Applications, C. K. Chui (ed.), 1992, 603–654.
    • (1992) Wavelet transforms and filter banks , pp. 603-654
    • Gopinath, R.A.1    Burrus, C.S.2
  • 9
    • 0012784119 scopus 로고
    • An algebraic construction of discrete wavelet transforms
    • to appear.
    • Kautsky, J., An algebraic construction of discrete wavelet transforms. Aplikace Matematiky, 1993 to appear.
    • (1993) Aplikace Matematiky
    • Kautsky, J.1
  • 11
    • 0000149499 scopus 로고
    • Multilevel filtering elliptic preconditioner
    • Kuo, C.C. Jay, Chan, T.F., Tong, C., Multilevel filtering elliptic preconditioner. SIAM J. Matrix Anal. Appl. 11:3 (1990), 403–429.
    • (1990) SIAM J. Matrix Anal. Appl. , vol.11 , Issue.3 , pp. 403-429
    • Kuo, C.C.J.1    Chan, T.F.2    Tong, C.3
  • 16
    • 77958103917 scopus 로고
    • Calculation of the wavelet decomposition using quadrature formulae
    • Tom H. Koornwinder World Scientific New Jersey
    • Swelens, W., Rossen, R., Calculation of the wavelet decomposition using quadrature formulae. Koornwinder, Tom H., (eds.) Wavelets: An Elemetary Treatment of Theory and Applications, 1992, World Scientific, New Jersey, 139–160.
    • (1992) Wavelets: An Elemetary Treatment of Theory and Applications , pp. 139-160
    • Swelens, W.1    Rossen, R.2
  • 17
    • 0000846393 scopus 로고
    • A domain decomposition preconditioner based on a change to a multilevel nodal basis
    • Tong, C.H., Chan, T.F., Kuo, C.C. Jay, A domain decomposition preconditioner based on a change to a multilevel nodal basis. SIAM J. Sci. Stat. Comput. 12:66 (1991), 1486–1495.
    • (1991) SIAM J. Sci. Stat. Comput. , vol.12 , Issue.66 , pp. 1486-1495
    • Tong, C.H.1    Chan, T.F.2    Kuo, C.C.J.3
  • 18
    • 0000760561 scopus 로고
    • Two preconditioners based on the multilevel splitting of finite element spaces
    • 184
    • Yserentant, H., Two preconditioners based on the multilevel splitting of finite element spaces. Numer. Math., 58, 1990, 163 184.
    • (1990) Numer. Math. , vol.58 , pp. 163
    • Yserentant, H.1


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