Piecewise linear continuation
Simplicial continuation, or piecewise linear continuation (Allgower and Georg), is a one-parameter continuation method which is well suited to small to medium embedding spaces. The algorithm has been generalized to compute higher-dimensional manifolds by (Allgower and Gnutzman) and (Allgower and Schmidt).
Source: Wikipedia — Piecewise linear continuation (CC BY-SA 4.0)