Basic ANM algorithms for path following problems
Keywords:
Asymptotic Numerical Method, continuation, bucking, thin shells, prediction-correctionAbstract
The Asymptotic Numerical Method (ANM) is a family of algorithms based on the computation of series to solve non-linear problems. How to use at best the informations included in the series ? How to define in an optimal way prediction-correction algorithms within ANM ? In this paper, the knowledges about these questions are reviewed. A complete bibliography is also presented, that shows a wide application field and the many variants offered by ANM algorithms.
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