Non-compact stencil
Encyclopedia
In numerical mathematics, a non-compact stencil
is a type of discretization
method, where any node surrounding the node of interest may be used in the calculation. A non-compact stencil's computational time increases with an increase of layers of nodes used. Non-compact stencils may be compared to Compact stencil
s.
Stencil (numerical analysis)
In mathematics, especially the areas of numerical analysis concentrating on the numerical solution of partial differential equations, a stencil is a geometric arrangement of a nodal group that relate to the point of interest by using a numerical approximation routine. Stencils are the basis for...
is a type of discretization
Discretization
In mathematics, discretization concerns the process of transferring continuous models and equations into discrete counterparts. This process is usually carried out as a first step toward making them suitable for numerical evaluation and implementation on digital computers...
method, where any node surrounding the node of interest may be used in the calculation. A non-compact stencil's computational time increases with an increase of layers of nodes used. Non-compact stencils may be compared to Compact stencil
Compact stencil
In mathematics, especially in the areas of numerical analysis called numerical partial differential equations, a compact stencil is a type of stencil that uses only nine nodes for its discretization method in two dimensions. It uses only the center node and the adjacent nodes...
s.