Sentence examples for first order matching from inspiring English sources
It also shows that most reference priors do not satisfy the first order matching criterion, but the one-at-a-time reference prior is the second order matching priors.
The fourth order matching operator on the hexagonal grid is constructed.
The fourth order matching operator has been constructed on the hexagonal grid functions.
(3) The fourth order matching operator in a hexagonal grid is applied for connecting the subsystems.
In [6 9], the sixth order matching operator is constructed for the Block-Grid method and it is used for the sixth order composite grids in [10].
Even though using a hexagonal grid has the above mentioned advantages, it has not been used before in methods such as composite grids, domain decomposition, and combined methods, as the fourth order matching operator for connecting the subsystems together was not constructed.
Let Π 0 denote the set of points P ∈ Π such that all the nodes P k to determine the expression S 4 u belong to Π ¯ h, and Π 01 contain the points P, where some of the nodes P k emerge through the side γ j, j = 1, 2, 3, 4. We construct the fourth order matching operator S 4 by considering the cases when the point P belongs to one of the sets Π 0 or Π 01.
It turns out that the noninformative prior given by Li and Stern (1997) is the one-at-a-time reference prior satisfying a second-order matching criterion when either the variance ratio or linear combinations of the means is of interest.
In [1] and [2], the second order matching operator is used to construct and justify the second order composite grid method for solving Laplace's boundary value problems.
In Section 3 a fourth order matching operator is constructed and its application to find the fourth order accurate approximate solution on the closed domain is considered.
In [3], the fourth order matching operator is constructed and used for the fourth order composite grids and in [4] and [5] it is used for the fourth order Block-Grid method.
