Numerical Cubature for Curved Surface Integrals
by
James N. Lyness
School of Mathematics, University of New South Wales and Mathematics and Computer Science Division, Argonne National Laboratory

In this presentation, I describe some of the underlying theory of a method for numerical integrating over a two dimensional curved surface. This is a natural extension of extrapolation (or Romberg integration) for planar squares or triangles. There is no need for an explicit form for the Jacobian. The method may be used when the surface is defined implicitly. However, the integrand function must be regular, and the boundaries of the domain of integration must admit a linear parameterization.

Date received: January 28, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caie-11.