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Volumn 45, Issue 3, 1999, Pages 251-288

Reproducing kernel hierarchical partition of unity, part I - Formulation and theory

Author keywords

Meshless hierarchical partition of unity; Moving least squares interpolant; Reproducing kernel particle method; Synchronized convergence; Wavelet methods

Indexed keywords

ERROR ANALYSIS; ESTIMATION; FUNCTIONS; INTERPOLATION; LEAST SQUARES APPROXIMATIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVELET TRANSFORMS;

EID: 0032678421     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19990530)45:3<251::AID-NME583>3.0.CO;2-I     Document Type: Article
Times cited : (175)

References (31)
  • 8
    • 85022608074 scopus 로고    scopus 로고
    • Hierarchical bases and the finite element method
    • Cambridge University Press: Cambridge
    • Bank RE. Hierarchical bases and the finite element method. Acta Numerica; Cambridge University Press: Cambridge, 1996;1-43.
    • (1996) Acta Numerica , pp. 1-43
    • Bank, R.E.1
  • 16
    • 0003833285 scopus 로고
    • Philadelphia, PA: Society for Industrial and Applied Mathematics
    • Daubechies I. Ten Lectures on Wavelets. Philadelphia, PA: Society for Industrial and Applied Mathematics, 1992.
    • (1992) Ten Lectures on Wavelets
    • Daubechies, I.1
  • 18
    • 0000562670 scopus 로고
    • Decomposition of hardy function into square integrable wavelets of constant shape
    • Grossmann A, Morlet J. Decomposition of hardy function into square integrable wavelets of constant shape. SIAM Journal of Mathematical Analysis 1984;15:723-736.
    • (1984) SIAM Journal of Mathematical Analysis , vol.15 , pp. 723-736
    • Grossmann, A.1    Morlet, J.2
  • 19
    • 0004198869 scopus 로고
    • Cambridge University Press: Cambridge, The French edition was published in 1990 under the name Ondelettes et Operateurs
    • Meyer Y. Wavelets and Operators; Cambridge University Press: Cambridge, 1992. The French edition was published in 1990 under the name Ondelettes et Operateurs.
    • (1992) Wavelets and Operators
    • Meyer, Y.1
  • 22
    • 0001295624 scopus 로고
    • Orthonormal bases of compactly supported wavelets ii variations on a theme
    • Daubechies I. Orthonormal bases of compactly supported wavelets ii variations on a theme. SIAM Journal on Mathematical Analysis 1993;24:499-519.
    • (1993) SIAM Journal on Mathematical Analysis , vol.24 , pp. 499-519
    • Daubechies, I.1
  • 26
    • 34250104306 scopus 로고
    • A block spin construction of ondelettes, Part 1: Lemarié functions
    • Battle G. A block spin construction of ondelettes, Part 1: Lemarié functions. Communications in Mathematical Physics 1987;110:601-615.
    • (1987) Communications in Mathematical Physics , vol.110 , pp. 601-615
    • Battle, G.1
  • 30
    • 0002407395 scopus 로고
    • Multivariate interpolation of arbitraily spaced data by moving least squares methods
    • Farwig R. Multivariate interpolation of arbitraily spaced data by moving least squares methods. Journal of Computational and Applied Mathematics 1986;16:79-93.
    • (1986) Journal of Computational and Applied Mathematics , vol.16 , pp. 79-93
    • Farwig, R.1
  • 31
    • 0039477279 scopus 로고    scopus 로고
    • Ph.D. Thesis, McCormick School of Engineering and Applied Science, Northwestern University, Evanston, IL, May
    • Li S. Moving least square reproducing kernel methods. Ph.D. Thesis, McCormick School of Engineering and Applied Science, Northwestern University, Evanston, IL, May 1997.
    • (1997) Moving Least Square Reproducing Kernel Methods
    • Li, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.