| The methods of Hermite continuation, bisection-like branch switching, location by intermediate correction, parallel methods and smooth test functions are presented. A computational comparison of the method shows that Hermite continuation is a faster method for continuation for systems of large dimension. The bisection-like branch switching method outperforms other existing methods. The use of smooth test functions for the detection of singularities with polynomial interpolation allows sufficient guesses for singularity locators with large step sizes. These test functions are more computationally stable when compared to existing test functions. Parallelized methods are compared, showing that singularity location can benefit from a parallel method. |
