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Volumn 48, Issue 3, 2008, Pages 425-448

A combined Filon/asymptotic quadrature method for highly oscillatory problems

Author keywords

Asymptotic expansions; Filon integration; High oscillation; Quadrature

Indexed keywords


EID: 67649765259     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-008-0191-y     Document Type: Article
Times cited : (9)

References (16)
  • 4
    • 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
  • 6
    • 33749021121 scopus 로고    scopus 로고
    • On the evaluation of highly oscillatory integrals by analytic continuation
    • D. Huybrechs and S. Vandewalle, On the evaluation of highly oscillatory integrals by analytic continuation, SIAM J. Numer. Anal., 44(3) (2006), pp. 1026-1048.
    • (2006) SIAM J. Numer. Anal , vol.44 , Issue.3 , pp. 1026-1048
    • Huybrechs, D.1    Vandewalle, S.2
  • 7
    • 44949240467 scopus 로고    scopus 로고
    • A sparse discretisation for integral equation formulations of high frequency scattering problems
    • D. Huybrechs and S. Vandewalle, A sparse discretisation for integral equation formulations of high frequency scattering problems, SIAM J. Sci. Comput., 29(6) (2007), pp. 2305-2328.
    • (2007) SIAM J. Sci. Comput , vol.29 , Issue.6 , pp. 2305-2328
    • Huybrechs, D.1    Vandewalle, S.2
  • 8
    • 4043159167 scopus 로고    scopus 로고
    • On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms
    • A. Iserles, On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms, IMA J. Numer. Anal., 24(3) (2004), pp. 365-391.
    • (2004) IMA J. Numer. Anal , vol.24 , Issue.3 , pp. 365-391
    • Iserles, A.1
  • 9
    • 11444264626 scopus 로고    scopus 로고
    • On the numerical quadrature of highly-oscillating integrals II: Irregular oscillators
    • A. Iserles, On the numerical quadrature of highly-oscillating integrals II: Irregular oscillators, IMA J. Numer. Anal., 25(1) (2005), pp. 25-44.
    • (2005) IMA J. Numer. Anal , vol.25 , Issue.1 , pp. 25-44
    • Iserles, A.1
  • 10
    • 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(4) (2004), pp. 755-772.
    • (2004) BIT , vol.44 , Issue.4 , pp. 755-772
    • Iserles, A.1    Nørsett, S.P.2
  • 11
    • 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(2057) (2005), pp. 1383-1399.
    • (2005) Proc. R. Soc. A , vol.461 , Issue.2057 , pp. 1383-1399
    • Iserles, A.1    Nørsett, S.P.2
  • 12
    • 33746378156 scopus 로고    scopus 로고
    • Quadrature methods for multivariate highly oscillatory integrals using derivatives
    • A. Iserles and S. P. Nørsett, Quadrature methods for multivariate highly oscillatory integrals using derivatives, Math. Comput., 75 (2006), pp. 1233-1258.
    • (2006) Math. Comput , vol.75 , pp. 1233-1258
    • Iserles, A.1    Nørsett, S.P.2
  • 13
    • 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
  • 15
    • 33645732701 scopus 로고    scopus 로고
    • Moment-free numerical integration of highly oscillatory functions
    • S. Olver, Moment-free numerical integration of highly oscillatory functions, IMA J. Numer. Anal., 26(2) (2006), pp. 213-227.
    • (2006) IMA J. Numer. Anal , vol.26 , Issue.2 , pp. 213-227
    • Olver, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.