解常微分方程组初值问题一步混合方法的代数稳定性

Algebraic Stability of One-step Hybrid Methods for Solving the Initial Value Problems of Ordinary Differential Equations

本文在各种合理的内向量不同选取下，讨论了一步混合方法的代数稳定性，导出了一步混合方法代数稳定的充要条件。据此，得到了一系列结论。最后，给出了若干一步二阶、三阶代数稳定的混合方法公式。

This paper is concerned with the algebraic stability of one-step hybrid method under the various different choices of internal vector. A sufficient and necessary condition for the algebraic stability of one-step hybrid method is derived. Furthermore, we derive a series of results. we give a number of one-step two-order and three-order hybrid formulae which are algebraically stable in the end.