Exponentially fitted explicit Runge–Kutta–Nyström methods

Avdelas, 2000, An embedded exponentially-fitted Runge–Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems, Comput. Phys. Commun., 131, 52, 10.1016/S0010-4655(00)00080-1 Bettis, 1979, Runge–Kutta algorithms for oscillatory problems, J. Appl. Math. Phys. (ZAMP), 30, 699, 10.1007/BF01590846 Coleman, 2000, Mixed collocation methods for y″=f(x, y), J. Comput. Appl. Math., 126, 47, 10.1016/S0377-0427(99)00340-4 Dormand, 1987, Families of Runge–Kutta–Nyström formulae, IMA J. Numer. Anal., 7, 235, 10.1093/imanum/7.2.235 Franco, 2002, An embedded pair of exponentially fitted explicit Runge–Kutta methods, J. Comput. Appl. Math., 149, 407, 10.1016/S0377-0427(02)00485-5 Hairer, 1993 Paternoster, 1998, Runge–Kutta(–Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials, Appl. Numer. Math., 28, 401, 10.1016/S0168-9274(98)00056-7 Paternoster, 2000, A phase-fitted collocation-based Runge–Kutta–Nyström method, Appl. Numer. Math., 35, 339, 10.1016/S0168-9274(99)00143-9 Simos, 1998, An exponentially-fitted Runge–Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions, Comput. Phys. Commun., 115, 1, 10.1016/S0010-4655(98)00088-5 Simos, 2002, Exponentially-fitted Runge–Kutta–Nyström method for the numerical solution of initial-value problems with oscillating solutions, Appl. Math. Lett., 15, 217, 10.1016/S0893-9659(01)00121-5 Vanden Berghe, 1999, Exponentially-fitted explicit Runge–Kutta methods, Comput. Phys. Commun., 123, 7, 10.1016/S0010-4655(99)00365-3 Vanden Berghe, 2000, Exponentially fitted Runge–Kutta methods, J. Comput. Appl. Math., 125, 107, 10.1016/S0377-0427(00)00462-3