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Volumn 15, Issue 6, 2010, Pages 690-693

Analysis of numerical integration error for Bessel integral identity in fast multipole method for 2D Helmholtz equation

Author keywords

2D Helmholtz equation; Bessel integral identity; boundary element method; fast multipole method

Indexed keywords

2D HELMHOLTZ EQUATION; EULER-MACLAURIN FORMULA; FAST MULTIPOLE METHOD; HELMHOLTZ KERNELS; INTEGRAL IDENTITIES; NUMERICAL EXPERIMENTS; NUMERICAL INTEGRATIONS; QUADRATURE RULES; SCATTERING PROBLEMS;

EID: 78651363938     PISSN: 10071172     EISSN: 19958188     Source Type: Journal    
DOI: 10.1007/s12204-010-1070-7     Document Type: Article
Times cited : (7)

References (7)
  • 1
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    • S. Amini A. T. J. Profit 2000 Analysis of the truncation errors in the fast multipole method for scattering problems [J] Journal of Computational and Applied Mathematics 115 1-2 23 33 0973.65092 10.1016/S0377-0427(99)00175-2 1747208
    • (2000) Journal of Computational and Applied Mathematics , vol.115 , Issue.12 , pp. 23-33
    • Amini, S.1    Profit, A.T.J.2
  • 2
    • 0027609499 scopus 로고
    • The fast multipole method for the wave equation: A pedestrian prescription [J]
    • 10.1109/74.250128
    • R. Coifman V. Rokhlin S. Wandzura 1993 The fast multipole method for the wave equation: A pedestrian prescription [J] Antennas and Propagation Magazine 35 3 7 12 10.1109/74.250128
    • (1993) Antennas and Propagation Magazine , vol.35 , Issue.3 , pp. 7-12
    • Coifman, R.1    Rokhlin, V.2    Wandzura, S.3
  • 3
    • 0032396792 scopus 로고    scopus 로고
    • A convergence theorem for the fast multipole method for 2 dimensional scattering problems [J]
    • 0903.65085 10.1090/S0025-5718-98-00937-5 1458223
    • C. Labreuche 1998 A convergence theorem for the fast multipole method for 2 dimensional scattering problems [J] Mathematics of Computation 67 222 553 591 0903.65085 10.1090/S0025-5718-98-00937-5 1458223
    • (1998) Mathematics of Computation , vol.67 , Issue.222 , pp. 553-591
    • Labreuche, C.1
  • 4
    • 0038049725 scopus 로고    scopus 로고
    • Analysis of a diagonal form of the fast multipole algorithm for scattering theory [J]
    • 0940.65127 10.1023/A:1022331021899 1735095
    • S. Amini A. T. J. Profit 1999 Analysis of a diagonal form of the fast multipole algorithm for scattering theory [J] BIT Numerical Mathematics 39 4 585 602 0940.65127 10.1023/A:1022331021899 1735095
    • (1999) BIT Numerical Mathematics , vol.39 , Issue.4 , pp. 585-602
    • Amini, S.1    Profit, A.T.J.2
  • 5
    • 0038414985 scopus 로고    scopus 로고
    • Multi-level fast multipole solution of the scattering problem [J]
    • 1039.65084 10.1016/S0955-7997(02)00161-3
    • S. Amini A. T. J. Profit 2003 Multi-level fast multipole solution of the scattering problem [J] Engineering Analysis with Boundary Elements 27 5 547 564 1039.65084 10.1016/S0955-7997(02)00161-3
    • (2003) Engineering Analysis with Boundary Elements , vol.27 , Issue.5 , pp. 547-564
    • Amini, S.1    Profit, A.T.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.