Allgower, Eugene L.; Gnutzmann, Stefan An algorithm for piecewise linear approximation of implicitly defined two-dimensional surfaces. (English) Zbl 0618.65006 SIAM J. Numer. Anal. 24, 452-469 (1987). An algorithm is described for piecewise linear approximation of implicitly defined two-dimensional surfaces. The fundamental ideas of piecewise linear approximation for vector labeling are presented. An error estimate for the vector labeling approximation of smooth maps is given. The authors formulate the algorithm in terms of ”pseudo-PASCAL”. Sample numerical examples with computer graphical output are given. Reviewer: M.Gas[ ] Cited in 1 ReviewCited in 16 Documents MSC: 65D15 Algorithms for approximation of functions 65H10 Numerical computation of solutions to systems of equations 58C15 Implicit function theorems; global Newton methods on manifolds Keywords:underdetermined nonlinear systems; simplicial methods; piecewise linear approximation; two-dimensional surfaces; numerical examples; computer graphical output PDFBibTeX XMLCite \textit{E. L. Allgower} and \textit{S. Gnutzmann}, SIAM J. Numer. Anal. 24, 452--469 (1987; Zbl 0618.65006) Full Text: DOI