论文信息 - Stability properties of the Newmark, Houbolt and Wilson θ methods

Stability properties of the Newmark, Houbolt and Wilson θ methods

This paper analysis the stability of several methods for obtaining numerical solutions of second-order ordinary differential equations. The methods are popular in structural and geotechnical engineering applications and are direct, that is they do not require the transformation of the second-order equation into a first-order system. They include Newmark's method in both implicit and explicit forms, Wilson's θ-method, Houbolt's method and some variants on this latter method. We shall examine the stability of the methods when applied to the second-order scalar test equation where a and c are real.

Ian Gladwell | I. Gladwell | Ruth M. Thomas

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