Some procedures for the construction of high-order exponentially fitted Runge–Kutta–Nyström methods of explicit type

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018) Abstract The construction of high-order exponentially fitted Runge–Kutta–Nyström (EFRKN) methods of explicit type for the numerical solution of oscillatory differential systems is analyzed. Based on two basic symmetric and symplectic EFRKN methods of reference we present two procedures for constructing high-order explicit methods. The first procedure is based on composition methods and it allows the construction of high-order explicit EFRKN methods which are symmetric and symplectic. The second proced... Title of program: SVI-IIEXPOreferee.for and SVI-IIvarreferee.for Catalogue Id: AEOO_v1_0 Nature of problem Some models in astronomy and astrophysics, quantum mechanics and nuclear physics lead to second-order oscillatory differential systems. The solution of these oscillatory models requires accurate and efficient numerical methods. The codes SVI-IIEXPOreferee.for and SVI-IIvarreferee.for were developed for this purpose. Versions of this program held in the CPC repository in Mendeley Data AEOO_v1_0; SVI-IIEXPOreferee.for and SVI-IIvarreferee.for; 10.1016/j.cpc.2012.12.01