m)), and using the

divergence theorem, leads to [1, p.

The boundary of B, denoted by [partial derivative]B, is a sufficiently smooth surface to admit the application of

divergence theorem.

Mimetic finite difference (MFD) approximations to differential vector operators along with compatible inner products satisfy a discrete analog of the Gauss

divergence theorem.

F], having a regular boundary [partial derivative][OMEGA], so that the

divergence theorem applies.

In sections on vector analysis, complex analysis, and Fourier analysis, they consider such topics as gradient vector fields, the

divergence theorem, complex integration, Fourier series, and applications to ordinary and partial differential equations.

Numerical integration using the

Divergence Theorem in the coordinates ([theta], [phi]).

integrate over [OMEGA], and use the

divergence theorem.

THE

DIVERGENCE THEOREM AND SETS OF FINITE PERIMETER.

As a result, the approach chosen for this study was based on a fundamental theorem in calculus, called the

Divergence Theorem (see Taylor (2)), an analogue of Green's Theorem in two dimensional space.

21) That result is just what one needs for the

divergence theorem in a form suitable for generalized coordinates and hence slightly generalized from that in vector calculus, in order to get results independent of the merely conventional choice of coordinates.

The second edition adds a section on the

divergence theorem.

NULL LAGRANGIANS AND THE TOTAL

DIVERGENCE Theorem 8.