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

Steven Pollack, Daniel S. Badali and Jonathan Pollack

Applied Mathematics and Computation, 2014, vol. 232, issue C, 375-380

Abstract: 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 R3.

Keywords: Turning point; Implicit function; Cusp; Bifurcation curve (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:375-380

DOI: 10.1016/j.amc.2013.12.177

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