Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643358 | Journal of Computational and Applied Mathematics | 2006 | 11 Pages |
Abstract
This paper studies a general method for estimating the length of a parametric curve using only samples of points. We show that by making a special choice of points, namely the Gauss–Lobatto nodes, we get higher orders of approximation, similar to the behaviour of Gauss quadrature, and we derive some explicit examples.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Michael S. Floater, Atgeirr F. Rasmussen,