Goals of the Pisces Project

The goal of this project is to create software that contains

A set of known continuation algorithms for computing implicitly-defined curves and surfaces. This will include both piecewise-linear methods and also predictor-corrector methods;
A command language for batch processing and high level programming;
A graphical interface for choosing and controlling algorithms;
New algorithms for computing the structure of singular curves and surfaces.

In addition to being a useful tool to researchers and educators who need to compute implicitly-defined surfaces, the Pisces program will serve as an environment that can be used to study the way that algorithms fail and to develop algorithms that perform better.

Next: Potential Users

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