参考文献
[BerntEspGenz91] Berntsen, J., T. O. Espelid, and A. Genz. "An Adaptive Algorithm for the Approximate Calculation of Multiple Integrals." ACM Trans. Math. Softw. 17, no. 4 (1991): 437–451. http://citeseer.ist.psu.edu/berntsen91adaptive.html
[CohRodVil99] Cohen, H., F. Rodriguez Villegas, and D. Zagier. "Convergence Acceleration of Alternating Series." Experimental Mathematics 9, no. 1 (2000): 3-12. http://www.expmath.org/restricted/9/9.1/cohen.ps
[DavRab65IS] Davis, P. J. and P. Rabinowitz. "Ignoring the Singularity in Approximate Integration." J. SIAM: Series B, Numerical Analysis 2, no. 3 (1965): 367–383.
[DavRab84] Davis, P. J. and P. Rabinowitz. Methods of Numerical Integration, 2nd ed. Academic Press, 1984.
[Duffy82] Duffy, M. G. "Quadrature over a Pyramid or Cube of Integrands with a Singularity at a Vertex." J. SIAM Numer. Anal. 19, no. 6 (1982).
[Ehrich2000] Ehrich, S. "Stopping Functionals for Gaussian Quadrature Formulas." J. Comput. Appl. Math. Special issue on Numerical Analysis 2000, Vol. V: Quadrature and Orthogonal Polynomials 127, no. 1–2 (2001): 153–171. http://citeseer.ist.psu.edu/ehrich00stopping.html
[EvansChung03] Evans G. A. and Chung K. C. "Some theoretical aspects of generalised quadrature methods." Journal of Complexity 19 (2003): 272–285.
[GenzMalik80] Genz, A. C. and A. A. Malik. "An Adaptive Algorithm for Numerical Integration over an N-dimensional Rectangular Region." J. Comp. Appl. Math. 6, no. 4 (1980): 295–302.
[GenzMalik83] Genz, A. C. and A. A. Malik. "An Imbedded Family of Fully Symmetric Numerical Integration Rules." J. SIAM Numer. Anal. 20, no. 3 (1983): 580–588.
[IriMorTak70] Iri, M., S. Moriguti, and Y. Takasawa. "On a Certain Quadrature Formula." Kokyuroku of the Res. Inst. for Math. Sci. Kyoto Univ. 91 (1970): 82–118 (in Japanese). English translation in J. Comp. Appl. Math. 17, no. 1–2 (1987): 3–20.
[Levin96] Levin, D. "Fast integration of rapidly oscillatory functions." Journal of Computational and Applied Mathematics 67 (1996): 95–101.
[Levin97] Levin, D. "Analysis of a collocation method for integrating rapidly oscillatory functions." Journal of Computational and Applied Mathematics 78 (1997): 131–138.
[LynKag76] Lyness, J. N. and J. J. Kaganove. "Comments on the Nature of Automatic Quadrature Routines." ACM Trans. Math. Software 2, no. 1 (1976): 65–81.
[MalcSimp75] Malcolm, M. A. and R. B. Simpson. "Local versus Global Strategies for Adaptive Quadrature." ACM Transactions on Mathematical Software 1, no. 2 (1975): 129–146.
[Mori74] Mori, M. "On the Superiority of the Trapezoidal Rule for the Integration of Periodic Analytic Functions." Memoirs of Numerical Mathematics 1 (1974): 11–19.
[MoriOoura93] Ooura, T. and M. Mori. "Double Exponential Formulas for Fourier Type Integrals with a Divergent Integrand." In Contributions in Numerical Mathematics, World Scientific Series in Applicable Analysis, Vol. 2, 301–308, 1993.
[MurIri82] Murota, K. and M. Iri. "Parameter Tuning and Repeated Application of the IMT-Type Transformation in Numerical Quadrature." Numerische Mathematik 38, no. 3 (1982): 347–363.
[OouraMori91] Ooura, T. and M. Mori. "A Double Exponential Formula for Oscillatory Functions over the Half Infinite Interval." J. Comput. Appl. Math. 38, no. 1–3 (1991): 353–360.
[OouraMori99] Ooura, T. and M. Mori. "A Robust Double Exponential Formula for Fourier Type Integrals." J. Comput. Appl. Math. 112, no. 1–2 (1999): 229–241.
[OHaraSmith68] O'Hara, H. and F. J. Smith. "Error Estimation in the Clenshaw–Curtis Quadrature Formula." Comput. J. 11 (1968): 213–219.
[PiesBrand74] Piessens, R. and M. Branders. "A Note on the Optimal Addition of Abscissas to Quadrature Formulas of Gauss and Lobatto Type." Math. of Comput. 28, no. 125 (1974): 135–139.
[PiesBrand75] Piessens, R. and M. Branders. "Algorithm 002. Computation of Oscillating Integrals." J. Comput. Appl. Math. 1 (1975): 153–164.
[PiesBrand84] Piessens, R. and M. Branders. "Computation of Fourier Transform Integrals Using Chebyshev Series Expansions." Computing 32, no. 2 (1984): 177–186.
[PrFlTeuk92] Press, W. H., B. P. Flannery, and S. A. Teukolsky. Numerical Recipes in C. Cambridge University Press, 1992.
[Rice75] Rice, J. R. "A Metalgorithm for Adaptive Quadrature." J. Assoc. Comput. Mach. 22, no. 1 (1975): 61–82.
[SkKeip93] Skeel, R. D. and J. B. Keiper. Elementary Numerical Computing with Mathematica. McGraw-Hill, Inc. (1993)