### LANS Publications

# "A Prototype Four-Dimensional Galerkin-Type Integral"

J. N. Lyness

*RIMS*, vol. 41, no. 4, , pp. 843-851. Also Preprint ANL/MCS-P1186-0604

Preprint Version: [pdf]

An error functional expansion is constructed for a four-dimensional integral over [0,1]4 whose integrand function has a singularity structure of a type that occurs in integrals in the Galerkin boundary element method. We show with an example how extrapolation may be used to evaluate this integral.