Abstract
The use of the continuation principle in the solution of systems of nonlinear equations frequently leads to the need to follow trajectories through turning points. This can be done by using a different parametrization at every step along the trajectory. We show how to construct accurate predictors and adaptive steplength estimators for use in predictor-corrector algorithms which follow trajectories in this way.
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Ypma, T.J. Following paths through turning points. BIT 22, 368–383 (1982). https://doi.org/10.1007/BF01934450
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DOI: https://doi.org/10.1007/BF01934450