Computational Stability Theory — Its Strategy
The general stability theory developed by Koiter , Thompson/Hunt  well applies in the theoretical buckling analysis. The mathematical stability theory seems however not always feasible in computational practice. More specifically, use of the higher-order derivatives of the equilibrium equations, for example, is not realistic in existing finite element codes. The computational stability theory will challenge to stability problems from the more practical and computational viewpoint. The present paper describes the fundamental strategies, path-tracing, pinpointing and path-switching [3,4,5,6,7,8,9], in the computational stability theory.
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