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Volumn 34, Issue 1, 2000, Pages 13-38

On the adaptive computation of integrals of wavelets

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL METHODS; ERROR ANALYSIS; INTEGRAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 0034207727     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00028-8     Document Type: Article
Times cited : (35)

References (35)
  • 3
    • 37949010323 scopus 로고    scopus 로고
    • An adaptive collocation method based on interpolating wavelets
    • eds. W. Dahmen, A.J. Kurdilla and P. Oswald Academic Press, New York
    • S. Bertoluzza, An adaptive collocation method based on interpolating wavelets, in: Multiscale Methods for PDEs, eds. W. Dahmen, A.J. Kurdilla and P. Oswald (Academic Press, New York, 1997) pp. 109-135.
    • (1997) Multiscale Methods for PDEs , pp. 109-135
    • Bertoluzza, S.1
  • 5
    • 0007222876 scopus 로고    scopus 로고
    • Absolute and relative cut-off in adaptive approximations by wavelets
    • Politecnico di Torino, Dipartimento di Matematica, Rapporto Interno 5
    • C. Canuto, A. Tabacco, Absolute and relative cut-off in adaptive approximations by wavelets, Politecnico di Torino, Dipartimento di Matematica, Rapporto Interno 5 (1996). To appear in Ann. Mat. Pure Appl.
    • (1996) Ann. Mat. Pure Appl.
    • Canuto, C.1    Tabacco, A.2
  • 6
    • 0007372257 scopus 로고    scopus 로고
    • The wavelet element method, part I: Construction and analysis
    • C. Canuto, A. Tabacco, K. Urban, The wavelet element method, part I: Construction and analysis, Appl. Comput. Harm. Anal. 6 (1999) 1-52.
    • (1999) Appl. Comput. Harm. Anal. , vol.6 , pp. 1-52
    • Canuto, C.1    Tabacco, A.2    Urban, K.3
  • 7
    • 0003211725 scopus 로고    scopus 로고
    • The wavelet element method, part II: Realization and additional features in 2d and 3d
    • Preprint 1052, Istituto di Analisi Numerica del C.N.R., Pavia
    • C. Canuto, A. Tabacco, K. Urban, The wavelet element method, part II: Realization and additional features in 2d and 3d, Preprint 1052, Istituto di Analisi Numerica del C.N.R., Pavia (1997). To appear in Appl. Comput. Harm. Anal.
    • (1997) Appl. Comput. Harm. Anal.
    • Canuto, C.1    Tabacco, A.2    Urban, K.3
  • 8
    • 0345934078 scopus 로고    scopus 로고
    • Wavelet methods in numerical analysis
    • North-Holland, Amsterdam, to appear
    • A. Cohen, Wavelet methods in numerical analysis, in: Handbook of Numerical Analysis, North-Holland, Amsterdam, to appear.
    • Handbook of Numerical Analysis
    • Cohen, A.1
  • 12
    • 0003306607 scopus 로고    scopus 로고
    • Wavelet adaptive method for second order elliptic problems - Boundary conditions and domain decomposition
    • Preprint, Univ. P. et M. Curie, Paris
    • A. Cohen, R. Masson, Wavelet adaptive method for second order elliptic problems - boundary conditions and domain decomposition, Preprint, Univ. P. et M. Curie, Paris (1997). To appear in Numer. Math.
    • (1997) Numer. Math.
    • Cohen, A.1    Masson, R.2
  • 14
    • 85011480386 scopus 로고    scopus 로고
    • Wavelet and multiscale methods for operator equations
    • W. Dahmen, Wavelet and multiscale methods for operator equations, Acta Numerica 6 (1997) 55-228.
    • (1997) Acta Numerica , vol.6 , pp. 55-228
    • Dahmen, W.1
  • 15
    • 0031069391 scopus 로고    scopus 로고
    • Stable multiscale bases and local error estimation for elliptic problems
    • S. Dahlke, W. Dahmen, R. Hochmuth, R. Schneider, Stable multiscale bases and local error estimation for elliptic problems, Appl. Numer. Math. 23 (1) (1997) 21-48.
    • (1997) Appl. Numer. Math. , vol.23 , Issue.1 , pp. 21-48
    • Dahlke, S.1    Dahmen, W.2    Hochmuth, R.3    Schneider, R.4
  • 16
    • 33845592412 scopus 로고
    • Multilevel preconditioning
    • W. Dahmen, A. Kunoth, Multilevel preconditioning, Numer. Math. 63 (1992) 315-344.
    • (1992) Numer. Math. , vol.63 , pp. 315-344
    • Dahmen, W.1    Kunoth, A.2
  • 17
    • 0030385589 scopus 로고    scopus 로고
    • A wavelet-galerkin method for the stokes problem
    • W. Dahmen, A. Kunoth, K. Urban, A wavelet-galerkin method for the stokes problem, Computing 56 (1996) 259-302.
    • (1996) Computing , vol.56 , pp. 259-302
    • Dahmen, W.1    Kunoth, A.2    Urban, K.3
  • 18
    • 0007152988 scopus 로고    scopus 로고
    • Biorthogonal spline-wavelets on the interval - Stability and moment conditions
    • RWTH Aachen, IGPM Preprint 129
    • W. Dahmen, A. Kunoth, K. Urban, Biorthogonal spline-wavelets on the interval - stability and moment conditions, RWTH Aachen, IGPM Preprint 129 (1996). To appear in Appl. Comput. Harm. Anal.
    • (1996) Appl. Comput. Harm. Anal.
    • Dahmen, W.1    Kunoth, A.2    Urban, K.3
  • 19
    • 0027574359 scopus 로고
    • Using the refinement equation for evaluating integrals of wavelets
    • W. Dahmen, C.A. Micchelli, Using the refinement equation for evaluating integrals of wavelets, SIAM J. Numer. Anal. 30 (1993) 507-537.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 507-537
    • Dahmen, W.1    Micchelli, C.A.2
  • 21
    • 0003224965 scopus 로고    scopus 로고
    • Composite wavelet bases for operator equations
    • RWTH Aachen, IGPM Preprint 133, revised version
    • W. Dahmen, R. Schneider, Composite wavelet bases for operator equations, RWTH Aachen, IGPM Preprint 133, revised version (1997). To appear in Math. Comp.
    • (1997) Math. Comp.
    • Dahmen, W.1    Schneider, R.2
  • 23
    • 0000619262 scopus 로고    scopus 로고
    • Wavelets with complementary boundary conditions - Functions spaces on the cube
    • W. Dahmen, R. Schneider, Wavelets with complementary boundary conditions - functions spaces on the cube, Res. in Math. 34 (1998) 255-293.
    • (1998) Res. in Math. , vol.34 , pp. 255-293
    • Dahmen, W.1    Schneider, R.2
  • 25
    • 85031558504 scopus 로고
    • CBMS-NSF Regional Conference Series in Applied Mathematics
    • I. Daubechies, Ten Lectures on Wavelets, CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 61, 1992.
    • (1992) Ten Lectures on Wavelets , vol.61
    • Daubechies, I.1
  • 26
    • 85009724776 scopus 로고    scopus 로고
    • Nonlinear approximation
    • R.A. DeVore, Nonlinear approximation, Acta Numerica 7 (1998) 51-150.
    • (1998) Acta Numerica , vol.7 , pp. 51-150
    • DeVore, R.A.1
  • 27
    • 0004281234 scopus 로고
    • Preprint Department of Statistics, Stanford University
    • D. Donoho, Interpolating Wavelet Transform, Preprint Department of Statistics, Stanford University (1992).
    • (1992) Interpolating Wavelet Transform
    • Donoho, D.1
  • 28
    • 85031568350 scopus 로고    scopus 로고
    • Wavelets on the interval with optimal localization
    • Politecnico di Torino, Dipartimento di Matematica, Rapporto Interno 42
    • S. Grivet Talocia, A. Tabacco, Wavelets on the interval with optimal localization, Politecnico di Torino, Dipartimento di Matematica, Rapporto Interno 42 (1998). To appear in Math. Models Methods Appl. Sci.
    • (1998) Math. Models Methods Appl. Sci.
    • Talocia, S.G.1    Tabacco, A.2
  • 30
    • 0026909957 scopus 로고
    • Wavelet methods for fast resolution of elliptic problems
    • S. Jaffard, Wavelet methods for fast resolution of elliptic problems, SIAM J. Numer. Anal. 29 (1992) 965-986.
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 965-986
    • Jaffard, S.1
  • 31
    • 0000423051 scopus 로고
    • Analyses multi-résolutions non orthogonales, commutation entre projecteurs et derivation et ondelettes vecteurs à divergence nulle
    • P.G. Lemarié-Rieusset, Analyses multi-résolutions non orthogonales, commutation entre projecteurs et derivation et ondelettes vecteurs à divergence nulle, Rev. Mat. Iberoamericana 8 (1992) 221-236.
    • (1992) Rev. Mat. Iberoamericana , vol.8 , pp. 221-236
    • Lemarié-Rieusset, P.G.1
  • 32
    • 0004105134 scopus 로고
    • Ondelettes et Opèrateurs, Hermann, Paris
    • Y. Meyer, Ondelettes, Vol. I, Ondelettes et Opèrateurs, Hermann, Paris, 1990.
    • (1990) Ondelettes , vol.1
    • Meyer, Y.1
  • 33
    • 0024921922 scopus 로고
    • Wavelets and dilation equations: A brief introduction
    • G. Strang, Wavelets and dilation equations: A brief introduction, SIAM Rev. 31 (1989) 614-627.
    • (1989) SIAM Rev. , vol.31 , pp. 614-627
    • Strang, G.1
  • 34
    • 34249754212 scopus 로고
    • On divergence-free wavelets
    • K. Urban, On divergence-free wavelets, Adv. Comput. Math. 4 (1,2) (1995) 51-82.
    • (1995) Adv. Comput. Math. , vol.4 , Issue.1-2 , pp. 51-82
    • Urban, K.1
  • 35
    • 85031570468 scopus 로고    scopus 로고
    • Preprint 1106, Istituto di Analisi Numerica del C.N.R., Pavia
    • K. Urban, Wavelet bases in H (div) and H (curl), Preprint 1106, Istituto di Analisi Numerica del C.N.R., Pavia (1998).
    • (1998) Wavelet Bases in H (div) and H (curl)
    • Urban, K.1


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