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


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Литература
[ASHEIM08] A. ASHEIM. A COMBINED FILON/ASYMPTOTIC QUADRATURE METHOD FOR HIGHLY OSCILLATORY PROBLEMS. BIT Numerical Mathematics (2008) 48: 425–448.
[AvdMal89] В. А. Авдеенко, А. А. Малюков, Квадратурная формула для интеграла Фурье, основанная на использовании кубического сплайна, Ж. вычисл. матем. и матем. физ., 1989, том 29, номер 5, 783–786.
[BakhVas] H. С. БАХВАЛОВ, Л. Г. ВАСИЛЬЕВА. ВЫЧИСЛЕНИЕ ИНТЕГРАЛОВ ОТ ОСЦИЛЛИРУЮЩИХ ФУНКЦИЙ ПРИ ПОМОЩИ ИНТЕРПОЛЯЦИИ ПО УЗЛАМ.КВАДРАТУР-ГАУССА.
[ChenZhou15] R.Chen, X.Zhou. On quadrature of highly oscillatory integrals with logarithmic singularities. Applied Mathematics and Computation 265 (2015) 973–982.
[Chen15] R. Chen. Numerical approximations for highly oscillatory Bessel transforms and applications. J. Math. Anal. Appl. 421 (2015) 1635–1650.
[Dom14] V. Dominguez. Filon–Clenshaw–Curtis rules for a class of highly-oscillatory integrals with logarithmic singularities. Journal of Computational and Applied Mathematics 261 (2014) 299–319.
[EvWeb99] G.A. Evans, J.R. Webster. A comparison of some methods for the evaluation of highly oscillatory integrals. Journal of Computational and Applied Mathematics 112 (1999) 55-69.

[Flinn] E.A. Flinn. A Modification of Filon's Method of Numerical Integration. Journal of the ACM (JACM), V.7, Issue 2, 1960, pp. 181-184. 


[GaoIser17a] J. Gao, A. Iserles. Error analysis of the extended Filon-type method for highly oscillatory integrals. Research in the Mathematical Sciences (2017) 4:21.
[GaoIser17b] J. Gao, A. Iserles. A generalization of Filon–Clenshaw–Curtis quadrature for highly oscillatory integrals. BIT Numer Math (2017) 57, pp. 943–961.
[WaZhHuy] H. Wang, L. Zhang, D. Huybrechs. Asymptotic expansions and fast computation of oscillatory Hilbert transforms. Numerische Mathematik. (2013) 123, pp.709–743.
[KangShao14] H. Kang, X. Shao. Fast Computation of Singular Oscillatory Fourier Transforms. Abstract and Applied Analysis, Volume 2014, Article ID 984834, 8 pages.
[KangXiang13] H. Kang, Sh. Xiang. Efficient quadrature of highly oscillatory integrals with algebraic singularities. Journal of Computational and Applied Mathematics 237 (2013) 576–588.
[KangXiang11] Efficient integration for a class of highly oscillatory integrals. Applied Mathematics and Computation 218 (2011) 3553–3564.
[HuyOlv09] D. Huybrechs, Sh. Olver. Highly oscillatory quadrature. Highly Oscillatory Problems edited by B.Engquist, A.Fokas, E.Hairer, A.Iserles, Cambridge University Press 2009, pp. 25-50.

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