Linear barycentric rational interpolants, instead of customary polynomial interpolants, have been recently used to design the efficient numerical integrators for ODEs. In this way, the BDF-type methods based on these interpolants have been introduced as a general class of the methods in this type with better accuracy and stability properties. In this paper, we introduce an extension of them equipped to super-future point technique. The order of convergence and stability of the proposed methods are discussed and confirmed by some given numerical experiments.

中文翻译：

---

基于线性重心有理插值的刚性IVP的EBDF型方法

线性重心有理插值，而不是常规的多项式插值，最近已用于设计ODE的有效数值积分器。这样，基于这些内插值的BDF类型方法已作为此类方法的一般类引入，具有更好的精度和稳定性。在本文中，我们将介绍它们的扩展，以适应超未来技术。通过一些数值实验，讨论并证实了所提方法的收敛性和稳定性。