Karl Jones: Created page with "In mathematics, especially in the areas of numerical analysis called numerical partial differential equations, a '''compact stencil''' is a type of Stencil (numerica..."

2016-09-08T12:36:04Z

Created page with "In mathematics, especially in the areas of numerical analysis called numerical partial differential equations, a '''compact stencil''' is a type of Stencil (numerica..."

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In [[mathematics]], especially in the areas of [[numerical analysis]] called numerical partial differential equations, a '''compact stencil''' is a type of [[Stencil (numerical analysis)|stencil]] that uses only nine nodes for its discretization method in two dimensions.

== Description ==

It uses only the center node and the adjacent nodes.

For any structured grid utilizing a compact stencil in 1, 2, or 3 dimensions the maximum number of nodes is 3, 9, or 27 respectively.

Compact stencils may be compared to non-compact stencils.

Compact stencils are currently implemented in many partial differential equation solvers, including several in the topics of CFD, FEA, and other mathematical solvers relating to PDE's.

== See also ==

* [[Five-point stencil]]
* [[Non-compact stencil]]
* [[Stencil (numerical analysis)]]

== External links ==

* [https://en.wikipedia.org/wiki/Compact_stencil Compact stencil] @ Wikipedia

[[Category:Mathematics]]

Compact stencil - Revision history

Karl Jones: Created page with "In mathematics, especially in the areas of numerical analysis called numerical partial differential equations, a '''compact stencil''' is a type of Stencil (numerica..."