메뉴 건너뛰기




Volumn 28, Issue 2, 2010, Pages 203-226

An algorithm for the rapid evaluation of special function transforms

Author keywords

Algorithm; Fast; Fourier Bessel; Matrix; Special functions; Transform

Indexed keywords

ARBITRARY VECTORS; CLASSICAL ORTHOGONAL POLYNOMIALS; FAST ALGORITHMS; FOURIER; FOURIER-BESSEL TRANSFORMS; MATRIX; N-MATRIX; NUMERICAL EXAMPLE; SPECIAL FUNCTIONS;

EID: 75949119619     PISSN: 10635203     EISSN: 1096603X     Source Type: Journal    
DOI: 10.1016/j.acha.2009.08.005     Document Type: Article
Times cited : (91)

References (25)
  • 1
    • 0004245694 scopus 로고
    • Handbook of Mathematical Functions
    • National Bureau of Standards, Washington, DC
    • Abramowitz M., and Stegun I. Handbook of Mathematical Functions. Applied Math. Series (1964), National Bureau of Standards, Washington, DC
    • (1964) Applied Math. Series
    • Abramowitz, M.1    Stegun, I.2
  • 4
    • 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
  • 5
    • 0029207497 scopus 로고
    • Fast Fourier transforms for nonequispaced data
    • Dutt A., and Rokhlin V. Fast Fourier transforms for nonequispaced data. 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
  • 6
    • 0019227118 scopus 로고
    • A technique for measuring the plane-wave reflection coefficient of the ocean bottom
    • Frisk G.V., Oppenheim A.V., and Martinez D.R. A technique for measuring the plane-wave reflection coefficient of the ocean bottom. J. Acoust. Soc. Amer. 68 2 (1980) 602-612
    • (1980) J. Acoust. Soc. Amer. , vol.68 , Issue.2 , pp. 602-612
    • Frisk, G.V.1    Oppenheim, A.V.2    Martinez, D.R.3
  • 8
    • 0003216822 scopus 로고    scopus 로고
    • Efficient algorithms for computing a strong rank-revealing QR factorization
    • Gu M., and Eisenstat S.C. Efficient algorithms for computing a strong rank-revealing QR factorization. SIAM J. Sci. Comput. 17 4 (1996) 848-869
    • (1996) SIAM J. Sci. Comput. , vol.17 , Issue.4 , pp. 848-869
    • Gu, M.1    Eisenstat, S.C.2
  • 9
    • 0023984231 scopus 로고
    • A Hankel transform approach to tomographic image reconstruction
    • Higgins W.E., and Munson D.C. A Hankel transform approach to tomographic image reconstruction. IEEE Trans. Med. Imaging 7 1 (1988) 59-72
    • (1988) IEEE Trans. Med. Imaging , vol.7 , Issue.1 , pp. 59-72
    • Higgins, W.E.1    Munson, D.C.2
  • 10
    • 84944487979 scopus 로고
    • Prolate spheroidal wave functions, Fourier analysis and uncertainty - III: The dimension of the space of essentially time- and band-limited signals
    • Landau H.J., and Pollak H.O. Prolate spheroidal wave functions, Fourier analysis and uncertainty - III: The dimension of the space of essentially time- and band-limited signals. Bell System Tech. J. 41 (1962) 1295-1336
    • (1962) Bell System Tech. J. , vol.41 , pp. 1295-1336
    • Landau, H.J.1    Pollak, H.O.2
  • 11
    • 85009289532 scopus 로고    scopus 로고
    • On interpolation and integration in finite-dimensional spaces of bounded functions
    • Martinsson P.-G., Rokhlin V., and Tygert M. On interpolation and integration in finite-dimensional spaces of bounded functions. Comm. Appl. Math. Comput. Sci. 1 (2006) 133-142
    • (2006) Comm. Appl. Math. Comput. Sci. , vol.1 , pp. 133-142
    • Martinsson, P.-G.1    Rokhlin, V.2    Tygert, M.3
  • 12
    • 0030216149 scopus 로고    scopus 로고
    • A multilevel matrix decomposition algorithm for analysing scattering from large structures
    • Michielssen E., and Boag A. A multilevel matrix decomposition algorithm for analysing scattering from large structures. IEEE Trans. Antennas and Propagation 44 (1996) 1086-1093
    • (1996) IEEE Trans. Antennas and Propagation , vol.44 , pp. 1086-1093
    • Michielssen, E.1    Boag, A.2
  • 13
    • 33845434577 scopus 로고
    • A Fourier Bessel transform method for efficiently calculating the magnetic field of solenoids
    • Nachamkin J., and Maggiore C.J. A Fourier Bessel transform method for efficiently calculating the magnetic field of solenoids. J. Comput. Phys. 37 (1980) 41-55
    • (1980) J. Comput. Phys. , vol.37 , pp. 41-55
    • Nachamkin, J.1    Maggiore, C.J.2
  • 15
    • 61849160910 scopus 로고    scopus 로고
    • A new class of analysis-based fast transforms
    • Technical Report 1384, Yale University, Department of Computer Science, August
    • Michael O'Neil, Vladimir Rokhlin, A new class of analysis-based fast transforms, Technical Report 1384, Yale University, Department of Computer Science, August 2007
    • (2007)
    • O'Neil, M.1    Rokhlin, V.2
  • 16
    • 33748616112 scopus 로고
    • Computation of the Hankel transform using projections
    • Oppenheim A., Frisk G.V., and Martinez D.R. Computation of the Hankel transform using projections. J. Acoust. Soc. Amer. 68 2 (1980) 523-529
    • (1980) J. Acoust. Soc. Amer. , vol.68 , Issue.2 , pp. 523-529
    • Oppenheim, A.1    Frisk, G.V.2    Martinez, D.R.3
  • 17
    • 33751218044 scopus 로고    scopus 로고
    • Fast algorithms for spherical harmonic expansions
    • Rokhlin V., and Tygert M. Fast algorithms for spherical harmonic expansions. SIAM J. Sci. Comput. 27 (2006) 1903-1928
    • (2006) SIAM J. Sci. Comput. , vol.27 , pp. 1903-1928
    • Rokhlin, V.1    Tygert, M.2
  • 19
    • 0001366216 scopus 로고    scopus 로고
    • Spectral transform methods for solving the shallow-water equations on the sphere
    • Swartztrauber P.N. Spectral transform methods for solving the shallow-water equations on the sphere. Monthly Weather Rev. 124 (1996) 730-744
    • (1996) Monthly Weather Rev. , vol.124 , pp. 730-744
    • Swartztrauber, P.N.1
  • 20
    • 11844283993 scopus 로고    scopus 로고
    • Shallow-water flow on the sphere
    • Swartztrauber P.N. Shallow-water flow on the sphere. Monthly Weather Rev. 132 (2004) 3010-3018
    • (2004) Monthly Weather Rev. , vol.132 , pp. 3010-3018
    • Swartztrauber, P.N.1
  • 21
    • 0038347892 scopus 로고    scopus 로고
    • Generalized discrete spherical harmonic transforms
    • Swartztrauber P.N., and Spotz W.F. Generalized discrete spherical harmonic transforms. J. Comput. Phys. 159 (2000) 213-230
    • (2000) J. Comput. Phys. , vol.159 , pp. 213-230
    • Swartztrauber, P.N.1    Spotz, W.F.2
  • 22
    • 40249107454 scopus 로고    scopus 로고
    • Fast algorithms for spherical harmonic expansions II
    • Tygert M. Fast algorithms for spherical harmonic expansions II. J. Comput. Phys. 227 (2008) 4260-4279
    • (2008) J. Comput. Phys. , vol.227 , pp. 4260-4279
    • Tygert, M.1
  • 23
    • 48249103829 scopus 로고    scopus 로고
    • Recurrence relations and fast algorithms
    • Technical Report 1343, Yale University, Department of Computer Science, December
    • Mark Tygert, Recurrence relations and fast algorithms, Technical Report 1343, Yale University, Department of Computer Science, December 2005
    • (2005)
    • Tygert, M.1
  • 24
    • 75949126963 scopus 로고    scopus 로고
    • Analogues for Bessel functions of the Christoffel-Darboux identity
    • Technical Report 1351, Yale University, Department of Computer Science, March
    • Mark Tygert, Analogues for Bessel functions of the Christoffel-Darboux identity, Technical Report 1351, Yale University, Department of Computer Science, March 2006
    • (2006)
    • Tygert, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.