An algorithm for autonomously plotting solution sets in the presence of turning points

作者：Pollack Steven^*; Badali Daniel S; Pollack Jonathan

来源：Applied Mathematics and Computation, 2014, 232: 375-380.

DOI：10.1016/j.amc.2013.12.177

• Turning point
• Implicit function
• Cusp
• Bifurcation curve

Plotting solution sets for particular equations may be complicated by the existence of turning points. Here we describe an algorithm which not only overcomes such problematic points, but does so in the most general of settings. Applications of the algorithm are highlighted through two examples: the first provides verification, while the second demonstrates a non-trivial application. The latter is followed by a thorough run-time analysis. While both examples deal with bivariate equations, it is discussed how the algorithm may be generalized for space curves in R-3.

• 出版日期2014-4-1
• 单位McGill