论文标题
线性多步法和全球理查森外推
Linear multistep methods and global Richardson extrapolation
论文作者
论文摘要
在这项工作中，我们研究了经典的Richardson外推（RE）技术，以加速由线性多步法方法（LMMS）产生的序列的收敛，以在数值上求解普通微分方程系统的初始值问题。 LMM-RE方法的优点在于，合并的方法具有较高的阶和有利的线性稳定性属性，而$ a - 或$ a（α）$ - 稳定性，并且可以使用现有的LMM代码，而无需任何修改。
In this work, we study the application the classical Richardson extrapolation (RE) technique to accelerate the convergence of sequences resulting from linear multistep methods (LMMs) for solving initial-value problems of systems of ordinary differential equations numerically. The advantage of the LMM-RE approach is that the combined method possesses higher order and favorable linear stability properties in terms of $A$- or $A(α)$-stability, and existing LMM codes can be used without any modification.
