메뉴 건너뛰기




Volumn 46, Issue 2-3, 2003, Pages 263-277

Wavelets: Properties and Approximate Solution of a Second Kind Integral Equation

Author keywords

Fredholm equation of the second kind; Orthonormal wavelets; Projection operator; Sobolev and H lder regularities; Uniform approximation

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; INTEGRAL EQUATIONS; ITERATIVE METHODS; MATHEMATICAL OPERATORS; METHOD OF MOMENTS;

EID: 0141639676     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)90030-7     Document Type: Article
Times cited : (23)

References (17)
  • 4
    • 84990610636 scopus 로고
    • Fast wavelet transforms and numerical algorithms
    • G. Beylkyn, R. Coifman and V. Rokhlin, Fast wavelet transforms and numerical algorithms, Comm. Pure Appl. Math. 44, 141-183, (1991).
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 141-183
    • Beylkyn, G.1    Coifman, R.2    Rokhlin, V.3
  • 5
    • 0010887193 scopus 로고
    • Orthonormal wavelets, analysis of operators, and applications to numerical analysis
    • Edited by C.K. Chui, Academic Press, New York
    • S. Jaffard and Ph. Laurençot, Orthonormal wavelets, analysis of operators, and applications to numerical analysis, In Wavelets: A Tutorial in Theory and Applications, (Edited by C.K. Chui), Academic Press, New York, (1992).
    • (1992) Wavelets: A Tutorial in Theory and Applications
    • Jaffard, S.1    Laurençot, Ph.2
  • 6
    • 0141432856 scopus 로고    scopus 로고
    • Some wavelet algorithms for partial differential equations
    • Wavelets: Theory and Applications, ICASE/LaRC, (Edited by G. Erlebacher, M.Y. Hussaini and L.M. Jameson), Oxford University Press, New York
    • J. Liandrat, Some wavelet algorithms for partial differential equations, In Wavelets: Theory and Applications, ICASE/LaRC, Series in Computational Science and Engineering, (Edited by G. Erlebacher, M.Y. Hussaini and L.M. Jameson), Oxford University Press, New York, (1996).
    • (1996) Series in Computational Science and Engineering
    • Liandrat, J.1
  • 7
    • 0028494805 scopus 로고
    • A general framework of multivariate wavelets with duals
    • C.K. Chui and C. Li, A general framework of multivariate wavelets with duals, Appl. Comput. Harmonic Anal. 1, 368-390, (1994).
    • (1994) Appl. Comput. Harmonic Anal. , vol.1 , pp. 368-390
    • Chui, C.K.1    Li, C.2
  • 8
    • 0011461344 scopus 로고    scopus 로고
    • Multivariate compactly supported refinable functions, duals and biorthogonal wavelets
    • H. Ji, S.D. Riemenschneider and Z. Shen, Multivariate compactly supported refinable functions, duals and biorthogonal wavelets, Studies in Applied Mathematics 102, 173-204, (1999).
    • (1999) Studies in Applied Mathematics , vol.102 , pp. 173-204
    • Ji, H.1    Riemenschneider, S.D.2    Shen, Z.3
  • 11
    • 84990575058 scopus 로고
    • Orthonormal bases of compactly supported wavelets
    • I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure. Appl. Math. 41, 909-996, (1988).
    • (1988) Comm. Pure. Appl. Math. , vol.41 , pp. 909-996
    • Daubechies, I.1
  • 12
    • 34249975165 scopus 로고
    • Symmetric iterative interpolation processes
    • G. Deslauriers and S. Dubuc, Symmetric iterative interpolation processes, Constr. Approx. 5, 49-68, (1989).
    • (1989) Constr. Approx. , vol.5 , pp. 49-68
    • Deslauriers, G.1    Dubuc, S.2
  • 13
    • 84974002026 scopus 로고
    • A stability criterion for biorthogonal wavelet bases and their related subband coding schemes
    • A. Cohen and I. Daubechies, A stability criterion for biorthogonal wavelet bases and their related subband coding schemes, Duke Mathematical J. 68, 313-335, (1992).
    • (1992) Duke Mathematical J. , vol.68 , pp. 313-335
    • Cohen, A.1    Daubechies, I.2
  • 14
    • 0001301724 scopus 로고
    • Sobolev characterization of solutions of dilation equations
    • T. Eirola, Sobolev characterization of solutions of dilation equations, SIAM J. Math. Anal. 23, 1015-1030, (1992).
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 1015-1030
    • Eirola, T.1
  • 15
    • 0039356448 scopus 로고
    • Energy moments in time and frequency for two-scale difference equation solutions and wavelets
    • L.F. Villemoes, Energy moments in time and frequency for two-scale difference equation solutions and wavelets, SIAM J. Math. Anal 23, 1519-1543, (1992).
    • (1992) SIAM J. Math. Anal , vol.23 , pp. 1519-1543
    • Villemoes, L.F.1
  • 17
    • 0027574359 scopus 로고
    • Using the refinement equation for evaluating integrals of wavelets
    • W. Dahmen and C.A. Micchelli, Using the refinement equation for evaluating integrals of wavelets, SIAM J. Num. Anal. 30, 507-537, (1993).
    • (1993) SIAM J. Num. Anal. , vol.30 , pp. 507-537
    • Dahmen, W.1    Micchelli, C.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.