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Volumn 18, Issue 4, 2007, Pages 435-447

Moment-free numerical approximation of highly oscillatory integrals with stationary points

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EID: 34547511512     PISSN: 09567925     EISSN: 14694425     Source Type: Journal    
DOI: 10.1017/S0956792507007012     Document Type: Article
Times cited : (50)

References (11)
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    • CODY, W.J.1
  • 3
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    • FILON, L.N.G.1
  • 4
    • 33749021121 scopus 로고    scopus 로고
    • On the evaluation of highly oscillatory integrals by analytic continuation
    • HUYBRECHS, D. & VANDEWALLE, S. (2006) On the evaluation of highly oscillatory integrals by analytic continuation. SIAM J. Numer. Anal. 44(3), 1026-1048.
    • (2006) SIAM J. Numer. Anal , vol.44 , Issue.3 , pp. 1026-1048
    • HUYBRECHS, D.1    VANDEWALLE, S.2
  • 5
    • 26944452051 scopus 로고    scopus 로고
    • Efficient quadrature of highly oscillatory integrals using derivatives
    • ISERLES, A. & NØRSETT, S. P. (2005) Efficient quadrature of highly oscillatory integrals using derivatives. Proc. R. Soc. London A. 461, 1383-1399.
    • (2005) Proc. R. Soc. London A , vol.461 , pp. 1383-1399
    • ISERLES, A.1    NØRSETT, S.P.2
  • 6
    • 84968468712 scopus 로고
    • Procedures for computing one and two-dimensional integrals of functions with rapid irregular oscillations
    • LEVIN, D. (1982) Procedures for computing one and two-dimensional integrals of functions with rapid irregular oscillations. Math. Comp. 38(158), 531-538.
    • (1982) Math. Comp , vol.38 , Issue.158 , pp. 531-538
    • LEVIN, D.1
  • 8
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    • Moment-free numerical integration of highly oscillatory functions
    • OLVER, S. (2006) Moment-free numerical integration of highly oscillatory functions. IMA J. Numer. Anal. 26, 213-227.
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    • OLVER, S.1
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    • On the quadrature of multivariate highly oscillatory integrals over nonpolytope domains
    • OLVER, S. (2006) On the quadrature of multivariate highly oscillatory integrals over nonpolytope domains. Numer. Math. 103, 643-665.
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    • OLVER, S.1


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