Sentence examples for interior operator from inspiring English sources

See also [Foulis and Randall, 1987] are respectively a closure operator on ℘ and an interior operator on ℘(X).

A semi-discrete entropy estimate for the entire domain is achieved when the new boundary conditions are coupled with an entropy stable discrete interior operator.

Then cl and int are interior operators on ℘(X), for which the closed and open sets are precisely C and O, respectively.

A distinguishing feature of our method is the use of an algebraic discretization of the interior product operator and a combinatorial discretization of the wedge product.

A generalized framework is presented that extends the classical theory of finite-difference summation-by-parts (SBP) operators to include a wide range of operators, where the main extensions are (i) non-repeating interior point operators, (ii) nonuniform nodal distribution in the computational domain, (iii) operators that do not include one or both boundary nodes.

However, diagonal-norm operators with a repeating interior-point operator that have thus far been constructed suffer from a loss of accuracy.

The significant improvements in accuracy of this new family, for the same repeating interior-point operator, are demonstrated in the context of the linear convection equation.

This implies that for hyperbolic problems and operators of degree greater than unity they lead to solutions with a global order of accuracy lower than the degree of the interior-point operator.

While on the interior, these operators are of degree 2p, at a number of nodes near the boundaries, they are of degree p, and therefore of global degree p — meaning the highest degree monomial for which the operators are exact at all nodes.

Iterative convergence of the radiation equation is accelerated using a modified interior penalty diffusion operator to precondition the full discrete ordinates transport operator.

The interior Steklov-Poincaré operator S D : H 1 / 2 ( Γ D ) → H − 1 / 2 ( Γ D ) maps some given Dirichlet datum φ D onto the related Neumann datum t D = S D φ D of the corresponding solution of the Laplace equation (1).