In this paper we discuss a framework for the polynomial approximation to the solution of initial value problems for differential equations. The framework, initially devised for the approximation of ordinary differential equations, is further extended to cope with constant delay differential equations. Relevant classes of Runge-Kutta methods can be derived within this framework.

翻译：在本文中,我们讨论了解决差异方程式初始价值问题的多边近似框架,最初为普通差异方程式近似设计的框架进一步扩展,以应对不断拖延的差异方程式,在此框架内可以得出龙格-库塔方法的相关类别。