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Volumn 36, Issue 3, 1999, Pages 906-921

Error analysis for the numerical evaluation of the diagonal forms of the scalar spherical addition theorem

Author keywords

Error analysis; Fast multipole method; Integration error; Interpolation error; Multilevel fast multipole algorithm; Truncation error

Indexed keywords


EID: 0001229383     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142997328111     Document Type: Article
Times cited : (103)

References (24)
  • 1
    • 0000396658 scopus 로고
    • A fast algorithm for particle simulations
    • L. GREENGARD AND V. ROKHLIN, A fast algorithm for particle simulations, J. Comput. Phys., 73 (1987), pp. 325-348.
    • (1987) J. Comput. Phys. , vol.73 , pp. 325-348
    • Greengard, L.1    Rokhlin, V.2
  • 2
    • 0000431418 scopus 로고
    • Rapid solution of integral equations of scattering theory in two dimensions
    • V. ROKHLIN, Rapid solution of integral equations of scattering theory in two dimensions, J. Comput. Phys., 2 (1986), pp. 414-439.
    • (1986) J. Comput. Phys. , vol.2 , pp. 414-439
    • Rokhlin, V.1
  • 3
    • 0027609499 scopus 로고
    • The fast multipole method for the wave equation: A pedestrian prescription
    • R. COIFMAN, V. ROKHLIN, AND S. WANDZURA, The fast multipole method for the wave equation: a pedestrian prescription, IEEE Trans. Antennas and Propagation, 35 (1993), pp. 7-12.
    • (1993) IEEE Trans. Antennas and Propagation , vol.35 , pp. 7-12
    • Coifman, R.1    Rokhlin, V.2    Wandzura, S.3
  • 4
    • 0000800931 scopus 로고
    • A fast algorithm for solving the hybrid integral equation
    • C. C. LU AND W. C. CHEW, A fast algorithm for solving the hybrid integral equation, IEE Proc. Pt. H, 140 (1993), pp. 455-460.
    • (1993) IEE Proc. Pt. H , vol.140 , pp. 455-460
    • Lu, C.C.1    Chew, W.C.2
  • 5
    • 0028460697 scopus 로고
    • A multilevel algorithm for solving a boundary integral equation of wave scattering
    • C. C. LU AND W. C. CHEW, A multilevel algorithm for solving a boundary integral equation of wave scattering. Microwave Opt. Tech. Lett., 7 (1994) pp. 466-470.
    • (1994) Microwave Opt. Tech. Lett. , vol.7 , pp. 466-470
    • Lu, C.C.1    Chew, W.C.2
  • 6
    • 0029378828 scopus 로고
    • Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering
    • J. M. SONG AND W. C. CHEW, Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering, Microwave. Opt. Tech. Lett., 10 (1995), pp. 14-19.
    • (1995) Microwave. Opt. Tech. Lett. , vol.10 , pp. 14-19
    • Song, J.M.1    Chew, W.C.2
  • 7
    • 0032006826 scopus 로고    scopus 로고
    • Calculation of acoustical scattering from a cluster of scatterers
    • S. KOC AND W. C. CHEW, Calculation of acoustical scattering from a cluster of scatterers, J. Acoust. Soc. Am., 103 (1998), pp. 721-734.
    • (1998) J. Acoust. Soc. Am. , vol.103 , pp. 721-734
    • Koc, S.1    Chew, W.C.2
  • 8
    • 0041691859 scopus 로고
    • Diagonal forms of the translation operators in the fast multipole algorithm for scattering problems
    • Helsinki University of Technology, Institute of Mathematics, Helsinki, Finland
    • J. RAHOLA, Diagonal forms of the translation operators in the fast multipole algorithm for scattering problems, Research Report A349, Helsinki University of Technology, Institute of Mathematics, Helsinki, Finland, 1995.
    • (1995) Research Report A349
    • Rahola, J.1
  • 9
    • 0031258501 scopus 로고    scopus 로고
    • MLFMA for electromagnetic scattering by large complex objects
    • J. M. SONG, C. C. LU, AND W. C. CHEW, MLFMA for electromagnetic scattering by large complex objects, IEEE Trans. Antennas and Propagation, 45 (1997), pp. 1488-1493.
    • (1997) IEEE Trans. Antennas and Propagation , vol.45 , pp. 1488-1493
    • Song, J.M.1    Lu, C.C.2    Chew, W.C.3
  • 12
    • 0002523464 scopus 로고
    • Addition theorems for spherical wave functions
    • S. STEIN, Addition theorems for spherical wave functions, Quart. Appl. Math., 19 (1961), pp. 15-24.
    • (1961) Quart. Appl. Math. , vol.19 , pp. 15-24
    • Stein, S.1
  • 13
    • 0027851427 scopus 로고
    • Diagonal forms of translation operators for the Helmholtz equation in three dimensions
    • V. ROKHLIN, Diagonal forms of translation operators for the Helmholtz equation in three dimensions, Appl. Comput. Harmon. Anal., 1 (1993), pp. 82-93.
    • (1993) Appl. Comput. Harmon. Anal. , vol.1 , pp. 82-93
    • Rokhlin, V.1
  • 14
    • 0001698339 scopus 로고
    • Multipole translation theory for the three-dimensional Laplace and Helmholtz equations
    • M. A. EPTON AND B. DEMBART, Multipole translation theory for the three-dimensional Laplace and Helmholtz equations, SIAM J. Sci. Comput., 16 (1995), pp. 865-897.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 865-897
    • Epton, M.A.1    Dembart, B.2
  • 15
    • 0031167993 scopus 로고    scopus 로고
    • A succinct way to diagonalize the translation matrix in three dimensions
    • W. C. CHEW, S. KOC, J. M. SONG, C. C. LU, AND E. MICHIELSSEN, A succinct way to diagonalize the translation matrix in three dimensions, Microwave Opt. Tech. Lett., 15 (1997), pp. 144-147.
    • (1997) Microwave Opt. Tech. Lett. , vol.15 , pp. 144-147
    • Chew, W.C.1    Koc, S.2    Song, J.M.3    Lu, C.C.4    Michielssen, E.5
  • 17
    • 84968475632 scopus 로고
    • Optimal numerical integration on a sphere
    • A. D. MCLAREN, Optimal numerical integration on a sphere, Math. Comput., 17 (1963), pp. 361-383.
    • (1963) Math. Comput. , vol.17 , pp. 361-383
    • Mclaren, A.D.1
  • 22
    • 0028413453 scopus 로고
    • Electromagnetic fields interpolation from nonuniform samples over spherical and cylindrical surfaces
    • O. M. BUCCI, C. GENNARELLI, R. RICCIO, AND C. SAVARESE, Electromagnetic fields interpolation from nonuniform samples over spherical and cylindrical surfaces, IEE Proc. Microwave Antennas Propagation, 141 (1994), pp. 77-84.
    • (1994) IEE Proc. Microwave Antennas Propagation , vol.141 , pp. 77-84
    • Bucci, O.M.1    Gennarelli, C.2    Riccio, R.3    Savarese, C.4
  • 23
    • 0018542367 scopus 로고
    • Interpolation of band-limited functions using the approximate prolate series
    • J. J. KNAB, Interpolation of band-limited functions using the approximate prolate series, IEEE Trans. Inform. Theory, IT-25 (1979), pp. 717-720.
    • (1979) IEEE Trans. Inform. Theory , vol.IT-25 , pp. 717-720
    • Knab, J.J.1
  • 24
    • 0020602310 scopus 로고
    • The sampling window
    • J. J. KNAB, The sampling window, IEEE Trans. Inform. Theory, IT-29 (1983), pp. 157-159.
    • (1983) IEEE Trans. Inform. Theory , vol.IT-29 , pp. 157-159
    • Knab, J.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.