참고문헌
- R. L. Burden and J. D. Faires, Numerical Analysis, Brooks/Cole, 2001.
- A. Cardone, R. D'Ambrosio, and B. Paternoster, High order exponentially fitted methods for Volterra integral equations with periodic solution, Appl. Numer. Math. 114 (2017), 18-29. https://doi.org/10.1016/j.apnum.2016.05.003
- J. P. Coleman and L. Gr. Ixaru, Truncation errors in exponential fitting for oscillatory problems, SIAM J. Numer. Anal. 44 (2006), no. 4, 1441-1465. https://doi.org/10.1137/050641752
- A. Ghizzetti and A. Ossicini, Quadrature Formulae, Academic Press, New York, 1970.
- D. Hollevoet, M. Van Daele, and G. Vanden Berghe, Exponentially fitted methods applied to fourth-order boundary value problems, J. Comput. Appl. Math. 235 (2011), no. 18, 5380-5393. https://doi.org/10.1016/j.cam.2011.05.049
- L. Gr. Ixaru, Operations on oscillatory functions, Comput. Phys. Comm. 105 (1997), no. 1, 1-19. https://doi.org/10.1016/S0010-4655(97)00067-2
- L. Gr. Ixaru and B. Paternoster, A Gauss quadrature rule for oscillatory integrands, Comput. Phys. Comm. 133 (2001), no. 2-3, 177-188. https://doi.org/10.1016/S0010- 4655(00)00173-9
- L. Gr. Ixaru and G. Vanden Berghe, Exponential Fitting, Mathematics and its Applications, 568, Kluwer Academic Publishers, Dordrecht, 2004. https://doi.org/10.1007/978-1-4020-2100-8
- L. Gr. Ixaru, G. Vanden Berghe, and H. De Meyer, Frequency evaluation in exponential fitting multistep algorithms for ODEs, J. Comput. Appl. Math. 140 (2002), no. 1-2, 423-434. https://doi.org/10.1016/S0377-0427(01)00474-5
- K. J. Kim, Two-frequency-dependent Gauss quadrature rules, J. Comput. Appl. Math. 174 (2005), no. 1, 43-55. https://doi.org/10.1016/j.cam.2004.03.020
- K. J. Kim, Error analysis for frequency-dependent interpolation formulas using first derivatives, Appl. Math. Comput. 217 (2011), no. 19, 7703-7717. https://doi.org/10.1016/j.amc.2011.02.073
- K. J. Kim, Exponentially fitted interpolation formulas involving first and higher-order derivatives, J. Appl. Math. Inform. 31 (2013), no. 5-6, 677-693. https://doi.org/10.14317/jami.2013.677
- K. J. Kim, Exponentially fitted interpolation formulas depending on two frequencies, J. Appl. Math. Inform. 34 (2016), no. 3-4, 207-220. https://doi.org/10.14317/jami.2016.207
- K. J. Kim and R. Cools, Extended exponentially fitted interpolation formulas for oscillatory functions, Appl. Math. Comput. 224 (2013), 178-195. https://doi.org/10.1016/j.amc.2013.08.039
- K. Kim, R. Cools, and L. Gr. Ixaru, Extended quadrature rules for oscillatory integrands, Appl. Numer. Math. 46 (2003), no. 1, 59-73. https://doi.org/10.1016/S0168-9274(03)00009-6
- Matlab, Language of Technical Computing, Mathworks, Inc.