Stability of a Numerical Solution of Differential Equations—Part II
- 1 January 1960
- journal article
- Published by Association for Computing Machinery (ACM) in Journal of the ACM
- Vol. 7 (1) , 46-56
- https://doi.org/10.1145/321008.321014
Abstract
In Part I of this paper [1] the authors have shown that instability in Milne's method of solving differential equations numerically [2] can be avoided by the occasional use of Newton's “three eights” quadrature formula. Part I dealt with a single differential equation of first order. In Part II the analysis is extended to equations and systems of equations of higher order.Keywords
This publication has 2 references indexed in Scilit:
- Stability of a Numerical Solution of Differential EquationsJournal of the ACM, 1959
- Numerical Integration of Ordinary Differential EquationsThe American Mathematical Monthly, 1926