메뉴 건너뛰기




Volumn 228, Issue 18, 2009, Pages 7086-7108

A geometric nonuniform fast Fourier transform

Author keywords

B splines; Fourier transform

Indexed keywords

COMPUTATIONAL EFFICIENCY; FOURIER ANALYSIS; INTERPOLATION;

EID: 67849126626     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.06.027     Document Type: Article
Times cited : (10)

References (21)
  • 1
    • 84968470212 scopus 로고
    • An algorithm for the machine calculation of complex Fourier series
    • Cooley J.W., and Tukey J.W. An algorithm for the machine calculation of complex Fourier series. Math. Comput. 19 (1965) 297-301
    • (1965) Math. Comput. , vol.19 , pp. 297-301
    • Cooley, J.W.1    Tukey, J.W.2
  • 3
    • 84977266737 scopus 로고
    • Die Berechnung optischer und elektrostatistischer Gitterpotentiale
    • Ewald P. Die Berechnung optischer und elektrostatistischer Gitterpotentiale. Ann. Phys. 64 (1921) 253
    • (1921) Ann. Phys. , vol.64 , pp. 253
    • Ewald, P.1
  • 4
    • 0001298453 scopus 로고
    • Fast potential theory II: Layer potentials and discrete sums
    • Strain J. Fast potential theory II: Layer potentials and discrete sums. J. Comput. Phys. 99 (1992) 251-270
    • (1992) J. Comput. Phys. , vol.99 , pp. 251-270
    • Strain, J.1
  • 5
    • 85066966942 scopus 로고    scopus 로고
    • A smooth particle-mesh Ewald algorithm for Stokes suspension flows: the sedimentation of fibers
    • Saintillan D., Darve E., and Shaqfeh E.S.G. A smooth particle-mesh Ewald algorithm for Stokes suspension flows: the sedimentation of fibers. Phys. Fluids 17 (2004) 1-21
    • (2004) Phys. Fluids , vol.17 , pp. 1-21
    • Saintillan, D.1    Darve, E.2    Shaqfeh, E.S.G.3
  • 6
    • 34248574794 scopus 로고    scopus 로고
    • Locally-corrected spectral methods and overdetermined elliptic systems
    • Strain J. Locally-corrected spectral methods and overdetermined elliptic systems. J. Comput. Phys. 224 (2007) 1243-1254
    • (2007) J. Comput. Phys. , vol.224 , pp. 1243-1254
    • Strain, J.1
  • 7
    • 43149085895 scopus 로고    scopus 로고
    • A spectral method for the fast solution of boundary integral formulations of elliptic problems
    • Constanda C., Nashed Z., and Rollins D. (Eds), Birkhauser
    • Tausch J. A spectral method for the fast solution of boundary integral formulations of elliptic problems. In: Constanda C., Nashed Z., and Rollins D. (Eds). Integral Methods in Science and Engineering (2006), Birkhauser 287-297
    • (2006) Integral Methods in Science and Engineering , pp. 287-297
    • Tausch, J.1
  • 8
    • 3142776518 scopus 로고
    • On the fast Fourier transform of functions with singularities
    • Beylkin G. On the fast Fourier transform of functions with singularities. Appl. Comput. Harm. Anal. 2 (1995) 363-381
    • (1995) Appl. Comput. Harm. Anal. , vol.2 , pp. 363-381
    • Beylkin, G.1
  • 9
    • 0000527817 scopus 로고
    • Fast Fourier transforms for nonequispaced data
    • Dutt A., and Rokhlin V. Fast Fourier transforms for nonequispaced data. SIAM J. Sci. Comput. 14 6 (1993) 1368-1393
    • (1993) SIAM J. Sci. Comput. , vol.14 , Issue.6 , pp. 1368-1393
    • Dutt, A.1    Rokhlin, V.2
  • 10
    • 0348207634 scopus 로고    scopus 로고
    • Fast summation at nonequispaced knots by NFFTs
    • Potts D., and Steidl G. Fast summation at nonequispaced knots by NFFTs. SIAM J. Sci. Comput. 24 (2003) 2013-2037
    • (2003) SIAM J. Sci. Comput. , vol.24 , pp. 2013-2037
    • Potts, D.1    Steidl, G.2
  • 11
    • 0003707239 scopus 로고
    • Bernstein Polynomials
    • University of Toronto Press, Toronto
    • Lorentz G.G. Bernstein Polynomials. Mathematical Expositions vol. 8 (1953), University of Toronto Press, Toronto
    • (1953) Mathematical Expositions , vol.8
    • Lorentz, G.G.1
  • 13
    • 0003641574 scopus 로고    scopus 로고
    • A Practical Guide to Splines
    • Springer-Verlag Revised ed.
    • de Boor C. A Practical Guide to Splines. Applied Mathematical Sciences vol. 27 (2001), Springer-Verlag Revised ed.
    • (2001) Applied Mathematical Sciences , vol.27
    • de Boor, C.1
  • 14
    • 0029207497 scopus 로고
    • Fast Fourier transforms for nonequispaced data II
    • Dutt A., and Rokhlin V. Fast Fourier transforms for nonequispaced data II. Appl. Comput. Harmon. Anal. 2 1 (1995) 85-100
    • (1995) Appl. Comput. Harmon. Anal. , vol.2 , Issue.1 , pp. 85-100
    • Dutt, A.1    Rokhlin, V.2
  • 17
    • 0022076980 scopus 로고
    • High degree efficient symmetrical gaussian quadrature rules for the triangle
    • Dunavant D.A. High degree efficient symmetrical gaussian quadrature rules for the triangle. Int. J. Numer. Methods Eng. 21 6 (1985) 1129-1148
    • (1985) Int. J. Numer. Methods Eng. , vol.21 , Issue.6 , pp. 1129-1148
    • Dunavant, D.A.1
  • 19
    • 0001252469 scopus 로고
    • Sur une courbe dont tout point est un point de ramification
    • Sierpiński W. Sur une courbe dont tout point est un point de ramification. C.R. Acad. Sci. Paris 160 (1915) 302-305
    • (1915) C.R. Acad. Sci. Paris , vol.160 , pp. 302-305
    • Sierpiński, W.1
  • 20
    • 84977776020 scopus 로고
    • Zippered polygon meshes from range images
    • G. Turk, M. Levoy, Zippered polygon meshes from range images, in: Computer Graphics, SIGGRAPH, 1994, pp. 311-318.
    • (1994) Computer Graphics, SIGGRAPH , pp. 311-318
    • Turk, G.1    Levoy, M.2
  • 21
    • 85190231681 scopus 로고    scopus 로고
    • Sparse fourier transform via betterfly algorithm
    • in press
    • L. Ying, Sparse fourier transform via betterfly algorithm, SIAM J. Sci. Comput., in press.
    • SIAM J. Sci. Comput
    • Ying, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.