Литература [asheim08] A. Asheim. A combined filon/asymptotic quadrature method for highly oscillatory problems. Bit numerical Mathematics (2008) 48: 425-448


[HuyOlv12] D. Huybrechs, Sh. Olver. Superinterpolation in Highly Oscillatory Quadrature


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[HuyOlv12] D. Huybrechs, Sh. Olver. Superinterpolation in Highly Oscillatory Quadrature. Foundation of Computational Mathematics (2012) 12:203–228.
[IserNor05] A. Iserles, S.P.Nørsett. Efficient quadrature of highly oscillatory integrals using derivatives. Proceeding the Royal of Society A. (2005) 461, 1383–1399.
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[IserNor06] A. Iserles, S.P.Nørsett. On the computation of highly oscillatory multivariate integrals with stationary points. BIT Numerical Mathematics (2006) 46: 549–566.
[Iser04] A. Iserles. On the method of Neumann series for highly oscillatory equations. BIT Numerical Mathematics 44: 473–488, 2004.
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[MilovCveStan07] G.V. Milovanovic,_, A.S. Cvetkovic, M.P. Stanic. Gaussian quadratures for oscillatory integrands. Applied Mathematics Letters 20 (2007) 853–860.
[Milov98] G.V. Milovanovic. Numerical calculation of integrals involving oscillatory and singular kernels and some applications of quadratures. Computers Math. Applic. Vol. 36, no.8, pp. 19-39.
[MoXiang11] H. Mo, Sh. Xiang. On the asymptotic order of Filon-type methods for highly oscillatory integrals with an algebraic singularity. Applied Mathematics and Computation 217 (2011) 9105-9110.
[NovUllWoz15] E. Novak, M. Ullrich, H. Woźniakowski. Complexity of oscillatory integration for univariate Sobolev spaces. Journal of Complexity 31 (2015) 15–41.

[ZhNov18] Sh. Zhang, E. Novak. Optimal Quadrature Formulas for the Sobolev Space H^1. Journal of Scientific Computing. (2018). https://doi.org/10.1007/s10915-018-0766-y.



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