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Volumn 47, Issue 2, 2007, Pages 469-482

Numerical analysis of a fast integration method for highly oscillatory functions

Author keywords

Bessel function; Collocation method; Error bounds; Oscillatory integrals

Indexed keywords


EID: 34250822895     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-007-0127-y     Document Type: Article
Times cited : (58)

References (11)
  • 3
    • 0005054331 scopus 로고
    • On a quadrature formula for trigonometric integrals
    • L. N. G. Filon, On a quadrature formula for trigonometric integrals, Proc. R. Soc. Edinb., 49 (1928), pp. 38-47.
    • (1928) Proc. R. Soc. Edinb , vol.49 , pp. 38-47
    • Filon, L.N.G.1
  • 4
    • 26944452051 scopus 로고    scopus 로고
    • Efficient quadrature of highly-oscillatory integrals using derivatives
    • A. Iserles and S. P. Nørsett, Efficient quadrature of highly-oscillatory integrals using derivatives, Proc. R. Soc. A, 461 (2005), pp. 1383-1399.
    • (2005) Proc. R. Soc. A , vol.461 , pp. 1383-1399
    • Iserles, A.1    Nørsett, S.P.2
  • 5
    • 18244376597 scopus 로고    scopus 로고
    • On quadrature methods for highly oscillatory integrals and their implementation
    • A. Iserles and S. P. Nørsett, On quadrature methods for highly oscillatory integrals and their implementation, BIT, 44 (2004), pp. 755-772.
    • (2004) BIT , vol.44 , pp. 755-772
    • Iserles, A.1    Nørsett, S.P.2
  • 7
    • 84968468712 scopus 로고
    • Procedures for computing one-and-two dimensional integrals of functions with rapid irregular oscillations
    • D. Levin, Procedures for computing one-and-two dimensional integrals of functions with rapid irregular oscillations, Math. Comput., 38 (1982), pp. 531-538.
    • (1982) Math. Comput , vol.38 , pp. 531-538
    • Levin, D.1
  • 8
    • 0030078931 scopus 로고    scopus 로고
    • Fast integration of rapidly oscillatory functions
    • D. Levin, Fast integration of rapidly oscillatory functions, J. Comput. Appl. Math., 67 (1996), pp. 95-101.
    • (1996) J. Comput. Appl. Math , vol.67 , pp. 95-101
    • Levin, D.1
  • 9
    • 0031550497 scopus 로고    scopus 로고
    • Analysis of a collocation method for integrating rapidly oscillatory functions
    • D. Levin, Analysis of a collocation method for integrating rapidly oscillatory functions, J. Comput. Appl. Math., 78 (1997), pp. 131-138.
    • (1997) J. Comput. Appl. Math , vol.78 , pp. 131-138
    • Levin, D.1
  • 10
    • 84968518310 scopus 로고
    • A method for numerical evaluation of finite integrals of oscillatory functions
    • I. M. Longman, A method for numerical evaluation of finite integrals of oscillatory functions, Math. Comput., 14 (1960), pp. 53-59.
    • (1960) Math. Comput , vol.14 , pp. 53-59
    • Longman, I.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.