A further look at Newmark, Houbolt, etc., time‐stepping formulae

Abstract

Abstract This paper looks at some well‐known methods for the numerical integration of the vibration equation from the point of view of various groupings of the independent equations involved. New forms are given of the general three‐parameter method introduced by Zienkiewicz. 1 Some new one‐step methods are introduced; these are of great practical importance because of the ease with which the size of time step can be changed.