An Algorithm for Automatic Integration Over a Triangle Using Nonlinear Extrapolation

Abstract

We describe an automatic algorithm for integration over a triangle. The algorithm uses an adaptive subdivrsional strategy with global acceptance criteria and incorporates the e-algorithm to spee convergence. Numerical results are presented which show that it deals effectively with various types of smgularity along the boundaries of the mtegration triangle (or along the boundaries of eventual subtriangles of the subdivision). © 1984, ACM. All rights reserved.