Sentence examples for compact boundary from inspiring English sources

A comparison of the new compact boundary closure with the original explicit boundary closure demonstrates the improved accuracy for the new compact boundary closure, while the behavior of the scheme across discontinuities appears unaffected.

The algorithm uses sixth-order compact differencing in conjunction with a fifth-order compact boundary scheme which has been developed and found to be stable.

The key step toward obtaining this general solution is the derivation of a simple and compact boundary integral expression for the eigenfunctions in the extended Stroh formalism applied to Eshelby's problem.

We construct in this article a class of closed semi-bounded quadratic forms on the space of square integrable functions over a smooth Riemannian manifold with smooth compact boundary.

The nonempty, compact boundary of the attractor basin of infinity is called the Julia set of (f_{c}), J_{c}=partial A_{infty }(c).

Let Ω be a smooth domain (bounded or unbounded) with compact boundary or (Omega={mathbb{R}}^{n}_={x=(x_{1},ldots,ldots, x_{n}) in{mathbb{R}}^{n}: x_{n}>0}) ((ngeq3)) be the upper half space and let (G x,y)) be the Green function of the Laplacian ((-Delta)) on Ω with Dirichlet boundary conditions.

This approach allows extraction of more compact boundaries and improved localization of moving non-homogeneous objects.

There have been a number of extensions of Fujita's results in several directions since then, including similar results for numerous of quasilinear parabolic equations and systems in various of geometries (whole spaces, cones, and exterior domains) with nonlinear reactions or nonhomogeneous boundary conditions, and even degenerate equations in domains with non-compact boundary [2, 3].

The linear stability analysis results indicate that a linearly stable compact WENO boundary closure is achieved.

In this multi-dimensional extension the half-line is replaced by an open set Ω⊂Rn, n∈N, n⩾2, where Ω has a compact, nonempty boundary ∂Ω satisfying certain regularity conditions.

In [12], Vivier proved that robustly transitive flows on the whole n-dimensional compact without boundary manifold M must have a dominated splitting for the linear Poincaré flow and have no singularities.