메뉴 건너뛰기




Volumn 17, Issue 1-2, 1998, Pages 147-169

Periodic interpolation and wavelets on sparse grids

Author keywords

Boolean sums; Multivariate periodic interpolation; Sparse grids; Wavelets

Indexed keywords


EID: 0042225909     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1012041629709     Document Type: Article
Times cited : (8)

References (25)
  • 1
    • 0343056203 scopus 로고
    • A discrete Fourier transform scheme for Boolean sums of trigonometric operators
    • Multivariate Approximation Theory IV, eds. C.K. Chui, W. Schempp and K. Zeller, Birkhäuser, Basel
    • G. Baszenski and F.-J. Delvos, A discrete Fourier transform scheme for Boolean sums of trigonometric operators, in: Multivariate Approximation Theory IV, eds. C.K. Chui, W. Schempp and K. Zeller, International Series of Numerical Mathematics 90 (Birkhäuser, Basel, 1989) pp. 15-24.
    • (1989) International Series of Numerical Mathematics , vol.90 , pp. 15-24
    • Baszenski, G.1    Delvos, F.-J.2
  • 2
    • 0033279290 scopus 로고    scopus 로고
    • Fast algorithms for periodic spline wavelets on sparse grids
    • to appear
    • K. Bittner, Fast algorithms for periodic spline wavelets on sparse grids, SIAM J. Sci. Comput. (1998) to appear.
    • (1998) SIAM J. Sci. Comput.
    • Bittner, K.1
  • 4
    • 21344488894 scopus 로고
    • On trigonometric wavelets
    • C.K. Chui and H.N. Mhaskar, On trigonometric wavelets, Constr. Approx. 9 (1993) 167-190.
    • (1993) Constr. Approx. , vol.9 , pp. 167-190
    • Chui, C.K.1    Mhaskar, H.N.2
  • 5
    • 0003833285 scopus 로고
    • CBMS-NSF Series in Applied Mathematics SIAM, Philadelphia, PA
    • I. Daubechies, Ten Lectures on Wavelets, CBMS-NSF Series in Applied Mathematics (SIAM, Philadelphia, PA, 1992).
    • (1992) Ten Lectures on Wavelets
    • Daubechies, I.1
  • 6
    • 0004175163 scopus 로고
    • Wiley/Interscience, New York
    • P. Davis, Circulant Matrices (Wiley/Interscience, New York, 1979).
    • (1979) Circulant Matrices
    • Davis, P.1
  • 9
    • 0039030673 scopus 로고
    • Multivariate trigonometric approximation with frequencies from the hyperbolic cross
    • R.A. DeVore, P. Petrushev and V.N. Temlyakov, Multivariate trigonometric approximation with frequencies from the hyperbolic cross, Mat. Zametki 56 (1994) 36-63, English translation in Math. Notes 56 (1994).
    • (1994) Mat. Zametki , vol.56 , pp. 36-63
    • DeVore, R.A.1    Petrushev, P.2    Temlyakov, V.N.3
  • 10
    • 0042238045 scopus 로고
    • R.A. DeVore, P. Petrushev and V.N. Temlyakov, Multivariate trigonometric approximation with frequencies from the hyperbolic cross, Mat. Zametki 56 (1994) 36-63, English translation in Math. Notes 56 (1994).
    • (1994) Math. Notes , vol.56
  • 11
    • 0242503926 scopus 로고
    • On additive Schwarz preconditioners for sparse grid discretizations
    • M. Griebel and P. Oswald, On additive Schwarz preconditioners for sparse grid discretizations, Numer. Math. 66 (1994) 449-464.
    • (1994) Numer. Math. , vol.66 , pp. 449-464
    • Griebel, M.1    Oswald, P.2
  • 12
    • 0000277689 scopus 로고
    • Tensor product type subspace splitting and multilevel iterative methods for anisotropic problems
    • M. Griebel and P. Oswald, Tensor product type subspace splitting and multilevel iterative methods for anisotropic problems, Adv. Comput. Math. 4 (1995) 171-206.
    • (1995) Adv. Comput. Math. , vol.4 , pp. 171-206
    • Griebel, M.1    Oswald, P.2
  • 14
    • 0002546569 scopus 로고    scopus 로고
    • Wavelets associated with periodic basis functions
    • F.J. Narcowich and J.D. Ward, Wavelets associated with periodic basis functions, Appl. Comput. Harmon. Anal. 3 (1996) 40-56.
    • (1996) Appl. Comput. Harmon. Anal. , vol.3 , pp. 40-56
    • Narcowich, F.J.1    Ward, J.D.2
  • 15
    • 85013503093 scopus 로고
    • A unified approach to periodic wavelets
    • eds. C.K. Chui, L. Montefusco and L. Puccio Academic Press, New York
    • G. Plonka and M. Tasche, A unified approach to periodic wavelets, in: Wavelets: Theory, Algorithms, and Applications, eds. C.K. Chui, L. Montefusco and L. Puccio (Academic Press, New York, 1994) pp. 137-151.
    • (1994) Wavelets: Theory, Algorithms, and Applications , pp. 137-151
    • Plonka, G.1    Tasche, M.2
  • 16
    • 0043240455 scopus 로고    scopus 로고
    • Some error estimates for periodic interpolation on full and sparse grids
    • eds. A. Le Méhauté, C. Rabut and L.L. Schumaker Vanderbilt University Press, Nashville
    • G. Pöplau and F. Sprengel, Some error estimates for periodic interpolation on full and sparse grids, in: Curves and Surfaces with Applications in CAGD, eds. A. Le Méhauté, C. Rabut and L.L. Schumaker (Vanderbilt University Press, Nashville, 1997) pp. 355-362.
    • (1997) Curves and Surfaces with Applications in CAGD , pp. 355-362
    • Pöplau, G.1    Sprengel, F.2
  • 17
    • 0040108147 scopus 로고
    • Trigonometric interpolation and wavelet decomposition
    • J. Prestin and E. Quak, Trigonometric interpolation and wavelet decomposition, Numer. Algorithms 9 (1995) 293-318.
    • (1995) Numer. Algorithms , vol.9 , pp. 293-318
    • Prestin, J.1    Quak, E.2
  • 18
    • 77957114359 scopus 로고    scopus 로고
    • Interpolatory and orthonormal trigonometric wavelets
    • eds. J. Zeevi and R. Coifman Academic Press, to appear
    • J. Prestin and K. Selig, Interpolatory and orthonormal trigonometric wavelets, in: Signal and Image Representation in Combined Spaces, eds. J. Zeevi and R. Coifman (Academic Press, 1998) to appear.
    • (1998) Signal and Image Representation in Combined Spaces
    • Prestin, J.1    Selig, K.2
  • 19
    • 0040108155 scopus 로고
    • Ob odnom ortogonalnom trigonometricheskom basise
    • A.A. Privalov, Ob odnom ortogonalnom trigonometricheskom basise (On an orthogonal trigonometric basis), Mat. Sbornik 182 (1991) 384-394.
    • (1991) Mat. Sbornik , vol.182 , pp. 384-394
    • Privalov, A.A.1
  • 21
    • 0001048297 scopus 로고
    • Quadrature and interpolation formulas for tensor products of certain classes of functions
    • S.A. Smolyak, Quadrature and interpolation formulas for tensor products of certain classes of functions, Soviet Math. Dokl. 4 (1963) 240-243.
    • (1963) Soviet Math. Dokl. , vol.4 , pp. 240-243
    • Smolyak, S.A.1
  • 22
    • 0043240454 scopus 로고
    • Multivariate periodic interpolating wavelets
    • ed. S.P. Singh Kluwer Academic, Dordrecht
    • F. Sprengel, Multivariate periodic interpolating wavelets, in: Approximation Theory, Wavelets, and Applications, ed. S.P. Singh (Kluwer Academic, Dordrecht, 1995) pp. 473-483.
    • (1995) Approximation Theory, Wavelets, and Applications , pp. 473-483
    • Sprengel, F.1
  • 25
    • 0003254417 scopus 로고
    • Sparse grids
    • ed. W. Hackbusch, Vieweg, Braunschweig
    • C. Zenger, Sparse grids, in: Notes on Numerical Fluid Mechanics, ed. W. Hackbusch, Vol. 31 (Vieweg, Braunschweig, 1991) pp. 297-301.
    • (1991) Notes on Numerical Fluid Mechanics , vol.31 , pp. 297-301
    • Zenger, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.