Abstract

We introduce the ValidiPy package for validated numerics in Python. This suite of tools, which includes interval arithmetic and automatic differentiation, enables rigorous and guaranteed results using floating-point arithmetic. We apply the ValidiPy package to two classic problems in dynamical systems, calculating periodic points of the logistic map, and simulating the dynamics of a chaotic billiard model.

Keywords:validated numericsNewton methodfloating pointinterval arithmetic