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Volumn 46, Issue 3, 2006, Pages 549-566

On the computation of highly oscillatory multivariate integrals with stationary points

Author keywords

Asymptotic methods; High oscillation; Numerical quadrature

Indexed keywords


EID: 33748990295     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-006-0071-2     Document Type: Article
Times cited : (30)

References (10)
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    • On summation formulas due to Plana, Lindelöf and Abel
    • G. Dahlquist, On summation formulas due to Plana, Lindelöf and Abel, BIT, 37 (1997), pp. 256-295.
    • (1997) BIT , vol.37 , pp. 256-295
    • Dahlquist, G.1
  • 3
    • 33749021121 scopus 로고    scopus 로고
    • On the evaluation of highly oscillatory integrals by analytic continuation
    • To appear
    • D. Huybrechs and S. Vandewalle, On the evaluation of highly oscillatory integrals by analytic continuation, SIAM J. Numer. Anal. (2006). To appear.
    • (2006) SIAM J. Numer. Anal.
    • Huybrechs, D.1    Vandewalle, S.2
  • 4
    • 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
  • 5
    • 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
  • 6
    • 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
  • 7
    • 33846842157 scopus 로고    scopus 로고
    • Highly oscillatory quadrature: The story so far
    • Santiago de Compostela, Springer, Berlin. To appear
    • A. Iserles, S. P. Nørsett, and S. Olver, Highly oscillatory quadrature: The story so far, in Proceedings of ENuMath 2005, Santiago de Compostela, Springer, Berlin, 2006. To appear.
    • (2006) Proceedings of ENuMath 2005
    • Iserles, A.1    Nørsett, S.P.2    Olver, S.3
  • 8
    • 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 (2006), pp. 213-227.
    • (2006) IMA J. Numer. Anal. , vol.26 , pp. 213-227
    • Olver, S.1
  • 9
    • 33744750511 scopus 로고    scopus 로고
    • On the quadrature of multivariate highly oscillatory integrals over non-polytope domains
    • To appear
    • S. Olver, On the quadrature of multivariate highly oscillatory integrals over non-polytope domains, Numer. Math. (2006). To appear.
    • (2006) Numer. Math.
    • Olver, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.