The numerical treatment of non-trivial bifurcation points
- 1 January 1980
- journal article
- research article
- Published by Taylor & Francis in Numerical Functional Analysis and Optimization
- Vol. 2 (6) , 441-472
- https://doi.org/10.1080/01630568008816070
Abstract
We present an analysis of the stability of bifurcation problems based on the classical Liapunov-Schmidt theory, A well-posed formulation of the problem is derived and numerical methods, based on Newton's method, are suggested for both the computation of the bifurcation point itself, and for moving onto the nearby solution-curves.Keywords
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