Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
518755 | Journal of Computational Physics | 2013 | 14 Pages |
Abstract
This paper presents the outcome of power series analysis in the framework of the Asymptotic Numerical Method. We theoretically demonstrate and numerically evidence that the emergence of geometric power series in the vicinity of simple bifurcation points is a generic behavior. So we propose to use this hallmark as a bifurcation indicator to locate and compute very efficiently any simple bifurcation point. Finally, a power series that recovers an optimal step length is build in the neighborhood of bifurcation points. The reliability and robustness of this powerful approach is then demonstrated on two application examples from structural mechanics and hydrodynamics.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Bruno Cochelin, Marc Medale,