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Volumn 12, Issue 2-3, 2005, Pages 161-169

Fast summation based on fast trigonometric transforms at non-equispaced nodes

Author keywords

Cosine and sine transforms at non equispaced knots; Fast discrete summation; Fast Fourier; NDCT; NDST; NFFT

Indexed keywords


EID: 20744431888     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/nla.407     Document Type: Article
Times cited : (11)

References (19)
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    • Hackbusch W. A sparse matrix arithmetic based on ℋ-matrices, Part I: introduction to ℋ-matrices. Computing 1999; 62:89-108.
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    • Hackbusch, W.1
  • 5
    • 0029692981 scopus 로고    scopus 로고
    • Mosaic-skeleton approximations
    • Tyrtyshnikov EE. Mosaic-skeleton approximations. Calcolo 1996; 33:47-57.
    • (1996) Calcolo , vol.33 , pp. 47-57
    • Tyrtyshnikov, E.E.1
  • 6
    • 0037250788 scopus 로고    scopus 로고
    • A multiresolution approach to regularization of singular operators and fast summation
    • Beylkin G, Cramer R. A multiresolution approach to regularization of singular operators and fast summation. SIAM Journal on Scientific Computing 2002; 24:81-117.
    • (2002) SIAM Journal on Scientific Computing , vol.24 , pp. 81-117
    • Beylkin, G.1    Cramer, R.2
  • 9
    • 0037409860 scopus 로고    scopus 로고
    • Fast algorithms for discrete polynomial transforms on arbitrary grids
    • Potts D. Fast algorithms for discrete polynomial transforms on arbitrary grids. Linear Algebra and its Applications 2003; 366:353-370.
    • (2003) Linear Algebra and Its Applications , vol.366 , pp. 353-370
    • Potts, D.1
  • 11
    • 22444454428 scopus 로고    scopus 로고
    • A note on fast Fourier transforms for nonequispaced grids
    • Steidl G. A note on fast Fourier transforms for nonequispaced grids. Advances in Computational Mathematics 1998; 9:337-353.
    • (1998) Advances in Computational Mathematics , vol.9 , pp. 337-353
    • Steidl, G.1
  • 12
    • 0011937243 scopus 로고    scopus 로고
    • Fast fourier transforms for nonequispaced data: A tutorial
    • Benedetto JJ, Ferreira PJSG (eds). Birkhäuser: Boston
    • Potts D, Steidl G, Tasche M. Fast Fourier transforms for nonequispaced data: a tutorial. In Modern Sampling Theory: Mathematics and Applications, Benedetto JJ, Ferreira PJSG (eds). Birkhäuser: Boston, 2001; 247-270.
    • (2001) Modern Sampling Theory: Mathematics and Applications , pp. 247-270
    • Potts, D.1    Steidl, G.2    Tasche, M.3
  • 15
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    • On the fast Fourier transform of functions with singularities
    • Beylkin G. On the fast Fourier transform of functions with singularities. Applied and Computational Harmonic Analysis 1995; 2:363-381.
    • (1995) Applied and Computational Harmonic Analysis , vol.2 , pp. 363-381
    • Beylkin, G.1
  • 17
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    • Selection of a convolution function for fourier inversion using gridding
    • Jackson JI. Selection of a convolution function for Fourier inversion using gridding. IEEE Transactions on Medical Imaging 1991; 10:473-478.
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    • Jackson, J.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.