Approximating the volume integral by a surface integral via the divergence theorem
Volume 47 / 2020
Applicationes Mathematicae 47 (2020), 75-98
MSC: Primary 26D15.
DOI: 10.4064/am2393-1-2020
Published online: 10 June 2020
Abstract
By utilising the divergence theorem for -dimensional integrals, we provide some error estimates for approximating the integral on a body B, a bounded closed subset of \mathbb {R}^{n} (n\geq 2) with smooth (or piecewise smooth) boundary \partial B, by an integral on the surface \partial B and some other simple terms. Some examples in the 3-dimensional case are also given.
