An 11-dimensional family of embedded (4, 5) pairs of explicit 9-stage Runge-Kutta methods with an interpolant of order 5 is derived. Two optimized for efficiency pairs are presented.

翻译：由内嵌的11维系列(4,5)两对明确的9级龙格-库塔方法组成的11维系列(第5级)产生,其顺序为5级,为高效配对优化了两种方法。