Numerical computation of nonsimple turning points and cusps
Numerical computation of nonsimple turning points and cusps
复制标题
非简单转折点和尖点的数值计算
DOI：
10.1007/bf01390419
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发表时间：
1985
期刊：
影响因子：
--
通讯作者：
R. Piessens
中科院分区：
文献类型：
--
作者：
D. Roose;R. Piessens
开发了一种双转折点的数值计算方法，该双转折点对应于取决于两个参数的非线性算子方程的尖点突变。引入了包含原始方程的增广系统，其尖点是孤立解。提出了在有限维情况下牛顿法的有效实现。给出了一些化学工程问题的结果，并将这种直接方法与其他一些定位尖点的技术进行了比较。
A method is developed for the numerical computation of a double turning point corresponding to a cusp catastrophe of a nonlinear operator equation depending on two parameters. An augmented system containing the original equation is introduced, for which the cusp point is an isolated solution. An efficient implementation of Newton's method in the finite-dimensional case is presented. Results are given for some chemical engineering problems and this direct method is compared with some other techniques to locate cusp points.